From ac6651ef9ccc3dd5a9bb0a0064136a6be94cb9fe Mon Sep 17 00:00:00 2001 From: plasmas Date: Wed, 4 Oct 2023 10:16:35 -0400 Subject: [PATCH 01/15] [base] diffusive/reflective shaders --- src/interactions.h | 49 +++++++++++++++++++++++++++++++++++++++++++--- src/pathtrace.cu | 42 ++++++++++++++++++++++++++++++++++++--- 2 files changed, 85 insertions(+), 6 deletions(-) diff --git a/src/interactions.h b/src/interactions.h index f969e458..6f406786 100644 --- a/src/interactions.h +++ b/src/interactions.h @@ -73,7 +73,50 @@ void scatterRay( glm::vec3 normal, const Material &m, thrust::default_random_engine &rng) { - // TODO: implement this. - // A basic implementation of pure-diffuse shading will just call the - // calculateRandomDirectionInHemisphere defined above. + // TODO: implement this. + // A basic implementation of pure-diffuse shading will just call the + // calculateRandomDirectionInHemisphere defined above. + + // check if the pathSegment is at the max depth + if (pathSegment.remainingBounces == 0) { + //pathSegment.color = glm::vec3(0.0f); + return; + } + + // not at max depth, decrement + pathSegment.remainingBounces--; + + // check if this segment hits a light + if (m.emittance > 0.0f) { + pathSegment.color *= m.color * m.emittance; + // ray premature ending at a light source + pathSegment.remainingBounces = 0; + return; + } + + // PURE REFLECTIVE + if (m.hasReflective) { + glm::vec3 ray_out = glm::reflect(pathSegment.ray.direction, normal); + pathSegment.ray.direction = ray_out; + pathSegment.ray.origin = intersect + ray_out * 0.0001f; + pathSegment.color *= m.color; + return; + } + + // PURE DIFFUSIVE + // randomize a cosine-weighted ray out + glm::vec3 ray_out = calculateRandomDirectionInHemisphere(normal, rng); + + // calculate the light term coming from ray_out + float lightTerm = glm::abs(glm::dot(ray_out, normal)); + + // calculate BSDF and PDF of this reflection sample + float lambertian_bsdf = 1.0f / PI; + float lambertian_pdf = lightTerm / PI; + + // update pathSegment + pathSegment.ray.direction = ray_out; + // prevent shadow acne by lifting origin off the surface for a bit + pathSegment.ray.origin = intersect + ray_out * 0.0001f; + pathSegment.color *= m.color * lightTerm * lambertian_bsdf / lambertian_pdf; } diff --git a/src/pathtrace.cu b/src/pathtrace.cu index fd2a4641..32e62f19 100644 --- a/src/pathtrace.cu +++ b/src/pathtrace.cu @@ -13,6 +13,7 @@ #include "pathtrace.h" #include "intersections.h" #include "interactions.h" +#include "device_launch_parameters.h" #define ERRORCHECK 1 @@ -273,6 +274,40 @@ __global__ void shadeFakeMaterial( } } +// the true shader +__global__ void shadeMaterial( + int depth, // must be passed in for random seeding + int iter, + int num_paths, + ShadeableIntersection* shadeableIntersections, + PathSegment* pathSegments, + Material* materials +) +{ + int idx = blockIdx.x * blockDim.x + threadIdx.x; + if (idx >= num_paths) { + // not a valid path + return; + } + + ShadeableIntersection intersection = shadeableIntersections[idx]; + + if (intersection.t <= 0.0f) { + // no intersection color as black + pathSegments[idx].color = glm::vec3(0.0f); + // mark this path as terminated + pathSegments[idx].remainingBounces = 0; + return; + } + + // there is a valid intersection + thrust::default_random_engine rng = makeSeededRandomEngine(iter, idx, depth); + Material material = materials[intersection.materialId]; + Ray ray_in = pathSegments[idx].ray; + glm::vec3 intersection_point = ray_in.origin + ray_in.direction * intersection.t; + scatterRay(pathSegments[idx], intersection_point, intersection.surfaceNormal, material, rng); +} + // Add the current iteration's output to the overall image __global__ void finalGather(int nPaths, glm::vec3* image, PathSegment* iterationPaths) { @@ -352,7 +387,7 @@ void pathtrace(uchar4* pbo, int frame, int iter) { // tracing dim3 numblocksPathSegmentTracing = (num_paths + blockSize1d - 1) / blockSize1d; - computeIntersections << > > ( + computeIntersections<<>>( depth , num_paths , dev_paths @@ -373,14 +408,15 @@ void pathtrace(uchar4* pbo, int frame, int iter) { // TODO: compare between directly shading the path segments and shading // path segments that have been reshuffled to be contiguous in memory. - shadeFakeMaterial << > > ( + shadeMaterial<<>>( + depth, iter, num_paths, dev_intersections, dev_paths, dev_materials ); - iterationComplete = true; // TODO: should be based off stream compaction results. + iterationComplete = depth == 20; // TODO: should be based off stream compaction results. if (guiData != NULL) { From 1832f5cbdd5f5d997d9a113924e4097e03753ccd Mon Sep 17 00:00:00 2001 From: plasmas Date: Thu, 5 Oct 2023 22:58:37 -0400 Subject: [PATCH 02/15] [base] simplify Lambertian BSDF/PDF --- src/interactions.h | 15 ++------------- 1 file changed, 2 insertions(+), 13 deletions(-) diff --git a/src/interactions.h b/src/interactions.h index 6f406786..329ddf1b 100644 --- a/src/interactions.h +++ b/src/interactions.h @@ -77,12 +77,6 @@ void scatterRay( // A basic implementation of pure-diffuse shading will just call the // calculateRandomDirectionInHemisphere defined above. - // check if the pathSegment is at the max depth - if (pathSegment.remainingBounces == 0) { - //pathSegment.color = glm::vec3(0.0f); - return; - } - // not at max depth, decrement pathSegment.remainingBounces--; @@ -107,16 +101,11 @@ void scatterRay( // randomize a cosine-weighted ray out glm::vec3 ray_out = calculateRandomDirectionInHemisphere(normal, rng); - // calculate the light term coming from ray_out - float lightTerm = glm::abs(glm::dot(ray_out, normal)); - - // calculate BSDF and PDF of this reflection sample - float lambertian_bsdf = 1.0f / PI; - float lambertian_pdf = lightTerm / PI; // update pathSegment pathSegment.ray.direction = ray_out; // prevent shadow acne by lifting origin off the surface for a bit pathSegment.ray.origin = intersect + ray_out * 0.0001f; - pathSegment.color *= m.color * lightTerm * lambertian_bsdf / lambertian_pdf; + // PDF is aligned with BSDF, no need to calculate PDF/BSDF + pathSegment.color *= m.color; } From 6ca1b97edcda57e03044b6a40720c435e1f8671c Mon Sep 17 00:00:00 2001 From: plasmas Date: Thu, 5 Oct 2023 23:00:14 -0400 Subject: [PATCH 03/15] [base] material sort & first bounce cache --- src/pathtrace.cu | 184 ++++++++++++++++++++++++++++++++++++++++++----- src/pathtrace.h | 9 +++ 2 files changed, 175 insertions(+), 18 deletions(-) diff --git a/src/pathtrace.cu b/src/pathtrace.cu index 32e62f19..89717210 100644 --- a/src/pathtrace.cu +++ b/src/pathtrace.cu @@ -4,6 +4,10 @@ #include #include #include +#include +#include +#include +#include #include "sceneStructs.h" #include "scene.h" @@ -15,6 +19,12 @@ #include "interactions.h" #include "device_launch_parameters.h" +// toggle material sorting +#define CONTIGUOUS_MATERIAL + +// toggle first bounce intersections +#define CACHE_FIRST_BOUNCE + #define ERRORCHECK 1 #define FILENAME (strrchr(__FILE__, '/') ? strrchr(__FILE__, '/') + 1 : __FILE__) @@ -76,7 +86,37 @@ static Material* dev_materials = NULL; static PathSegment* dev_paths = NULL; static ShadeableIntersection* dev_intersections = NULL; // TODO: static variables for device memory, any extra info you need, etc -// ... +#ifdef CONTIGUOUS_MATERIAL +static int* dev_indices = NULL; // for materialId grouping +static PathSegment* dev_paths_tmp = NULL; // Ping-Pong buffer for reordering +static ShadeableIntersection* dev_intersections_tmp = NULL; +#endif // CONTIGUOUS_MATERIAL +#ifdef CACHE_FIRST_BOUNCE +static PathSegment* dev_first_paths = NULL; +static ShadeableIntersection* dev_first_intersections = NULL; +#endif // CACHE_FIRST_BOUNCE + + +// identifier rule for thrust::remove_if +struct is_path_terminated { + __host__ __device__ bool operator()(const PathSegment& segment) { + return segment.remainingBounces <= 0; + } +}; + +#ifdef CONTIGUOUS_MATERIAL +// comparator to sort pathSegments and shadeableIntersections based on materialId and t +struct IntersectionComparator { + ShadeableIntersection* intersections; + IntersectionComparator(ShadeableIntersection* _intersections) + : intersections(_intersections) {} + + __device__ bool operator()(int i, int j) const { + return intersections[i].materialId < intersections[j].materialId; + } +}; +#endif // CONTIGUOUS_MATERIAL + void InitDataContainer(GuiDataContainer* imGuiData) { @@ -104,7 +144,39 @@ void pathtraceInit(Scene* scene) { cudaMemset(dev_intersections, 0, pixelcount * sizeof(ShadeableIntersection)); // TODO: initialize any extra device memeory you need - +#ifdef CONTIGUOUS_MATERIAL + cudaMalloc(&dev_indices, pixelcount * sizeof(int)); + cudaMalloc(&dev_paths_tmp, pixelcount * sizeof(PathSegment)); + cudaMalloc(&dev_intersections_tmp, pixelcount * sizeof(ShadeableIntersection)); +#endif // CONTIGUOUS_MATERIAL + +#ifdef CACHE_FIRST_BOUNCE + cudaMalloc(&dev_first_paths, pixelcount * sizeof(PathSegment)); + cudaMalloc(&dev_first_intersections, pixelcount * sizeof(ShadeableIntersection)); + const int traceDepth = hst_scene->state.traceDepth; + // 2D block for generating ray from camera + const dim3 blockSize2d(8, 8); + const dim3 blocksPerGrid2d( + (cam.resolution.x + blockSize2d.x - 1) / blockSize2d.x, + (cam.resolution.y + blockSize2d.y - 1) / blockSize2d.y); + // 1D block for path tracing + const int blockSize1d = 128; + generateRayFromCamera<<>>(cam, 0, traceDepth, dev_first_paths); + checkCUDAError("generate initial camera ray"); + cudaMemset(dev_first_intersections, 0, pixelcount * sizeof(ShadeableIntersection)); + // trace first bounce + dim3 numblocksPathSegmentTracing = (pixelcount + blockSize1d - 1) / blockSize1d; + computeIntersections<<>>( + 0, + pixelcount, + dev_first_paths, + dev_geoms, + hst_scene->geoms.size(), + dev_first_intersections + ); + checkCUDAError("trace first bounce"); + cudaDeviceSynchronize(); +#endif // CACHE_FIRST_BOUNCE checkCUDAError("pathtraceInit"); } @@ -115,7 +187,15 @@ void pathtraceFree() { cudaFree(dev_materials); cudaFree(dev_intersections); // TODO: clean up any extra device memory you created - +#ifdef CONTIGUOUS_MATERIAL + cudaFree(dev_indices); + cudaFree(dev_paths_tmp); + cudaFree(dev_intersections_tmp); +#endif // CONTIGUOUS_MATERIAL +#ifdef CACHE_FIRST_BOUNCE + cudaFree(dev_first_paths); + cudaFree(dev_first_intersections); +#endif // CACHE_FIRST_BOUNCE checkCUDAError("pathtraceFree"); } @@ -286,7 +366,7 @@ __global__ void shadeMaterial( { int idx = blockIdx.x * blockDim.x + threadIdx.x; if (idx >= num_paths) { - // not a valid path + // out of bound return; } @@ -308,6 +388,19 @@ __global__ void shadeMaterial( scatterRay(pathSegments[idx], intersection_point, intersection.surfaceNormal, material, rng); } +// Add output of terminated pathSegments to the overall image +__global__ void partialGather(int nPaths, glm::vec3* image, PathSegment* iterationPaths) { + int index = (blockIdx.x * blockDim.x) + threadIdx.x; + + if (index >= nPaths) { + return; + } + PathSegment iterationPath = iterationPaths[index]; + if (iterationPath.remainingBounces <= 0) { + image[iterationPath.pixelIndex] += iterationPath.color; + } +} + // Add the current iteration's output to the overall image __global__ void finalGather(int nPaths, glm::vec3* image, PathSegment* iterationPaths) { @@ -368,9 +461,12 @@ void pathtrace(uchar4* pbo, int frame, int iter) { // for you. // TODO: perform one iteration of path tracing - - generateRayFromCamera << > > (cam, iter, traceDepth, dev_paths); +#ifdef CACHE_FIRST_BOUNCE + cudaMemcpy(dev_paths, dev_first_paths, pixelcount * sizeof(PathSegment), cudaMemcpyDeviceToDevice); +#else + generateRayFromCamera<<>>(cam, iter, traceDepth, dev_paths); checkCUDAError("generate camera ray"); +#endif // CACHE_FIRST_BOUNCE int depth = 0; PathSegment* dev_path_end = dev_paths + pixelcount; @@ -382,21 +478,40 @@ void pathtrace(uchar4* pbo, int frame, int iter) { bool iterationComplete = false; while (!iterationComplete) { + // tracing // clean shading chunks cudaMemset(dev_intersections, 0, pixelcount * sizeof(ShadeableIntersection)); - // tracing dim3 numblocksPathSegmentTracing = (num_paths + blockSize1d - 1) / blockSize1d; - computeIntersections<<>>( - depth - , num_paths - , dev_paths - , dev_geoms - , hst_scene->geoms.size() - , dev_intersections +#ifdef CACHE_FIRST_BOUNCE + if (depth == 0) { + // first bounce, copy intersections instead of compute them + cudaMemcpy(dev_intersections, dev_first_intersections, pixelcount * sizeof(ShadeableIntersection), cudaMemcpyDeviceToDevice); + } + else { + computeIntersections<<>>( + depth, + num_paths, + dev_paths, + dev_geoms, + hst_scene->geoms.size(), + dev_intersections ); + checkCUDAError("trace one bounce"); + cudaDeviceSynchronize(); + } +#else + computeIntersections<<>>( + depth, + num_paths, + dev_paths, + dev_geoms, + hst_scene->geoms.size(), + dev_intersections + ); checkCUDAError("trace one bounce"); cudaDeviceSynchronize(); +#endif // CACHE_FIRST_BOUNCE depth++; // TODO: @@ -408,6 +523,23 @@ void pathtrace(uchar4* pbo, int frame, int iter) { // TODO: compare between directly shading the path segments and shading // path segments that have been reshuffled to be contiguous in memory. +#ifdef CONTIGUOUS_MATERIAL + // sort PathSegments and ShadeableIntersections + // locate range in dev_indices to initialize the sequence + thrust::device_ptr dev_thrust_indices(dev_indices); + thrust::device_ptr dev_thrust_indices_end(dev_indices + num_paths); + // init sequence in this range + thrust::sequence(dev_thrust_indices, dev_thrust_indices_end); + IntersectionComparator comp(dev_intersections); + thrust::sort(dev_thrust_indices, dev_thrust_indices_end, comp); + // gather sorted items in tmp arrays + thrust::gather(dev_thrust_indices, dev_thrust_indices_end, thrust::device_pointer_cast(dev_paths), thrust::device_pointer_cast(dev_paths_tmp)); + thrust::gather(dev_thrust_indices, dev_thrust_indices_end, thrust::device_pointer_cast(dev_intersections), thrust::device_pointer_cast(dev_intersections_tmp)); + // swap ping-pong + std::swap(dev_paths, dev_paths_tmp); + std::swap(dev_intersections, dev_intersections_tmp); +#endif // CONTIGUOUS_MATERIAL + shadeMaterial<<>>( depth, iter, @@ -415,8 +547,24 @@ void pathtrace(uchar4* pbo, int frame, int iter) { dev_intersections, dev_paths, dev_materials - ); - iterationComplete = depth == 20; // TODO: should be based off stream compaction results. + ); + + // gather outputs of paths that are terminated + partialGather<<>>(num_paths, dev_image, dev_paths); + + // stream compaction using thrust::remove_if + thrust::device_ptr dev_thrust_paths(dev_paths); + thrust::device_ptr dev_thrust_paths_end = thrust::remove_if( + thrust::device, + dev_thrust_paths, + dev_thrust_paths + num_paths, + is_path_terminated() + ); + + // update remaining path count + num_paths = dev_thrust_paths_end - dev_thrust_paths; + + iterationComplete = num_paths == 0; // TODO: should be based off stream compaction results. if (guiData != NULL) { @@ -425,8 +573,8 @@ void pathtrace(uchar4* pbo, int frame, int iter) { } // Assemble this iteration and apply it to the image - dim3 numBlocksPixels = (pixelcount + blockSize1d - 1) / blockSize1d; - finalGather << > > (num_paths, dev_image, dev_paths); + //dim3 numBlocksPixels = (pixelcount + blockSize1d - 1) / blockSize1d; + //finalGather << > > (num_paths, dev_image, dev_paths); /////////////////////////////////////////////////////////////////////////// diff --git a/src/pathtrace.h b/src/pathtrace.h index e767d0ef..75258720 100644 --- a/src/pathtrace.h +++ b/src/pathtrace.h @@ -7,3 +7,12 @@ void InitDataContainer(GuiDataContainer* guiData); void pathtraceInit(Scene *scene); void pathtraceFree(); void pathtrace(uchar4 *pbo, int frame, int iteration); +__global__ void generateRayFromCamera(Camera cam, int iter, int traceDepth, PathSegment* pathSegments); +__global__ void computeIntersections( + int depth + , int num_paths + , PathSegment* pathSegments + , Geom* geoms + , int geoms_size + , ShadeableIntersection* intersections +); From 0ab19531225f763fdbc7043df6d94892f0082fdb Mon Sep 17 00:00:00 2001 From: plasmas Date: Sat, 7 Oct 2023 14:53:23 -0400 Subject: [PATCH 04/15] [visual] Imperfect Specular (MIS) --- src/interactions.h | 90 ++++++++++++++++++++++++++++++++++++++++++++-- 1 file changed, 88 insertions(+), 2 deletions(-) diff --git a/src/interactions.h b/src/interactions.h index 329ddf1b..8365c174 100644 --- a/src/interactions.h +++ b/src/interactions.h @@ -2,6 +2,8 @@ #include "intersections.h" +#define IMPERFECT_SPECULAR 1 + // CHECKITOUT /** * Computes a cosine-weighted random direction in a hemisphere. @@ -41,6 +43,46 @@ glm::vec3 calculateRandomDirectionInHemisphere( + sin(around) * over * perpendicularDirection2; } +#if IMPERFECT_SPECULAR == 1 +// generate perturbed specular sampling direction +// GPU Gems 3 https://developer.nvidia.com/gpugems/gpugems3/part-iii-rendering/chapter-20-gpu-based-importance-sampling +__host__ __device__ glm::vec3 calcPerturbedSpecularDirection( + glm::vec3 ray_in, // direction of incoming ray + glm::vec3 normal, // surface normal + thrust::default_random_engine& rng, // random engine + float alpha // Phone alpha +) { + glm::vec3 world_dir(0.0f); + do { + thrust::uniform_real_distribution u01(0, 1); + float xi1 = u01(rng); + float xi2 = u01(rng); + + // + float theta = acosf(powf(xi1, 1 / (alpha + 1.0f))); + float phi = 2.0f * PI * xi2; + + // convert to cartesian coordinate where specular direction is the z-axis + glm::vec3 tangent_dir(cosf(phi) * sinf(theta), sinf(phi)/* * sinf(theta)*/, cosf(theta)); + + // ideal specular direction + glm::vec3 specular_dir = glm::reflect(ray_in, normal); + + // Create an orthogonal bases around specular_dir + glm::vec3 basis_z = specular_dir; + // find a direction that is not colinear with specular_dir, e.g. world up + glm::vec3 up = abs(basis_z.z) < 0.9999f ? glm::vec3(0, 0, 1) : glm::vec3(1, 0, 0); + glm::vec3 basis_x = glm::normalize(glm::cross(basis_z, up)); + glm::vec3 basis_y = glm::cross(basis_z, basis_x); + + // transform tangent_dir into world space using these bases + world_dir = glm::normalize(tangent_dir.x * basis_x + tangent_dir.y * basis_y + tangent_dir.z * basis_z); + } while (glm::dot(world_dir, normal) < 0); + return world_dir; +} +#endif // IMPERFECT_SPECULAR == 1 + + /** * Scatter a ray with some probabilities according to the material properties. * For example, a diffuse surface scatters in a cosine-weighted hemisphere. @@ -88,12 +130,57 @@ void scatterRay( return; } - // PURE REFLECTIVE + // IMPERFECT SPECULAR (Phong Shading) if (m.hasReflective) { +#if IMPERFECT_SPECULAR == 1 + // sample both diffusive and specular directions + glm::vec3 ray_out_diffusive = calculateRandomDirectionInHemisphere(normal, rng); + float alpha = m.specular.exponent; + glm::vec3 ray_out_specular = calcPerturbedSpecularDirection(pathSegment.ray.direction, normal, rng, alpha); + + // Calculate BSDF / PDF for both + float bsdf_diffuse = 1.0f / PI; + float pdf_diffuse = glm::dot(normal, ray_out_diffusive) / PI; + + glm::vec3 specular_dir = glm::reflect(pathSegment.ray.direction, normal); + float cosTheta = glm::abs(glm::dot(specular_dir, ray_out_specular)); + float bsdf_specular = (alpha + 2) / (2 * PI) * powf(cosTheta, alpha); + float pdf_specular = (alpha + 1) / (2 * PI) * powf(cosTheta, alpha); + + // calculate MIS weights (power heuristic, beta = 2) + float mis_weight_sum = powf(pdf_diffuse, 2) + powf(pdf_specular, 2); + float weight_diffuse = powf(pdf_diffuse, 2) / mis_weight_sum; + float weight_specular = powf(pdf_specular, 2) / mis_weight_sum; + + // calculate color multipliers + glm::vec3 color_diffuse = m.color * weight_diffuse * bsdf_diffuse / pdf_diffuse; + glm::vec3 color_specular = m.specular.color * weight_specular * bsdf_specular / pdf_specular; + + // toss the dice + thrust::uniform_real_distribution u01(0, 1); + float choice = u01(rng); + + // impoerfect specular: diffusion + imperfect reflection (Phong) + if (choice < weight_diffuse) { + // diffuse branch taken + pathSegment.ray.direction = ray_out_diffusive; + pathSegment.ray.origin = intersect + ray_out_diffusive * 0.0001f; + // for lambertian diffusion, BSDF & PDF are aligned (no need to compute) + pathSegment.color *= color_diffuse; + } + else { + // specular branch taken + pathSegment.ray.direction = ray_out_specular; + pathSegment.ray.origin = intersect + ray_out_specular * 0.0001f; + pathSegment.color *= color_specular; + } +#else + // original pure specular glm::vec3 ray_out = glm::reflect(pathSegment.ray.direction, normal); pathSegment.ray.direction = ray_out; pathSegment.ray.origin = intersect + ray_out * 0.0001f; pathSegment.color *= m.color; +#endif return; } @@ -101,7 +188,6 @@ void scatterRay( // randomize a cosine-weighted ray out glm::vec3 ray_out = calculateRandomDirectionInHemisphere(normal, rng); - // update pathSegment pathSegment.ray.direction = ray_out; // prevent shadow acne by lifting origin off the surface for a bit From 5292ab235fed56a2e5de35b6bb5edfcfe3927235 Mon Sep 17 00:00:00 2001 From: plasmas Date: Sun, 8 Oct 2023 02:00:27 -0400 Subject: [PATCH 05/15] [visual] ideal refraction --- src/interactions.h | 57 ++++++++++++++++++++++++++++++++++++++++++---- src/sceneStructs.h | 1 + 2 files changed, 54 insertions(+), 4 deletions(-) diff --git a/src/interactions.h b/src/interactions.h index 8365c174..db6e949c 100644 --- a/src/interactions.h +++ b/src/interactions.h @@ -38,9 +38,9 @@ glm::vec3 calculateRandomDirectionInHemisphere( glm::vec3 perpendicularDirection2 = glm::normalize(glm::cross(normal, perpendicularDirection1)); - return up * normal + return glm::normalize(up * normal + cos(around) * over * perpendicularDirection1 - + sin(around) * over * perpendicularDirection2; + + sin(around) * over * perpendicularDirection2); } #if IMPERFECT_SPECULAR == 1 @@ -82,6 +82,18 @@ __host__ __device__ glm::vec3 calcPerturbedSpecularDirection( } #endif // IMPERFECT_SPECULAR == 1 +__host__ __device__ float calcFrensel(const PathSegment& pathSegment, glm::vec3 normal, const Material& m) { + // cosine angle between incident ray and normal + float cosTheta = glm::dot(pathSegment.ray.direction, -normal); + + // swap index if inside + float ior_i = 1.0f; + float ior_o = m.indexOfRefraction; + + // calculate reflection coefficient using Schlick's approx. + float r0 = powf((ior_i - ior_o) / (ior_i + ior_o), 2.0f); + return r0 + (1.0f - r0) * powf((1.0f - cosTheta), 5.0f); +} /** * Scatter a ray with some probabilities according to the material properties. @@ -113,6 +125,7 @@ void scatterRay( PathSegment & pathSegment, glm::vec3 intersect, glm::vec3 normal, + bool outside, const Material &m, thrust::default_random_engine &rng) { // TODO: implement this. @@ -130,6 +143,42 @@ void scatterRay( return; } + // REFRACTION + if (m.hasRefractive) { + // calculate out-going ray directions + float eta = outside ? 1.0f / m.indexOfRefraction : m.indexOfRefraction / 1.0f; + glm::vec3 ray_out_reflect = glm::reflect(pathSegment.ray.direction, normal); + glm::vec3 ray_out_refract = glm::refract(pathSegment.ray.direction, normal, eta); + + // calculate reflection coefficient + float r = calcFrensel(pathSegment, normal, m); + + //// choose to sample Specular or Refraction + thrust::uniform_real_distribution u01(0, 1); + float choice = u01(rng); + if (choice < r) { + // reflect + pathSegment.ray.origin = intersect + ray_out_reflect * 0.001f; + pathSegment.ray.direction = ray_out_reflect; + pathSegment.color *= m.specular.color; + } + else { + // refract + if (glm::length(ray_out_refract) < 0.0001f) { + // handle total internal reflection (TIR), use reflection + pathSegment.ray.direction = ray_out_reflect; + pathSegment.ray.origin = intersect + ray_out_reflect * 0.001f; + pathSegment.color *= m.specular.color; + } else { + // not TIR + pathSegment.ray.origin = intersect + pathSegment.ray.direction * 0.001f; + pathSegment.ray.direction = ray_out_refract; + pathSegment.color *= m.color; + } + } + return; + } + // IMPERFECT SPECULAR (Phong Shading) if (m.hasReflective) { #if IMPERFECT_SPECULAR == 1 @@ -143,7 +192,7 @@ void scatterRay( float pdf_diffuse = glm::dot(normal, ray_out_diffusive) / PI; glm::vec3 specular_dir = glm::reflect(pathSegment.ray.direction, normal); - float cosTheta = glm::abs(glm::dot(specular_dir, ray_out_specular)); + float cosTheta = glm::clamp(glm::abs(glm::dot(specular_dir, ray_out_specular)), 0.0f, 1.0f); float bsdf_specular = (alpha + 2) / (2 * PI) * powf(cosTheta, alpha); float pdf_specular = (alpha + 1) / (2 * PI) * powf(cosTheta, alpha); @@ -179,7 +228,7 @@ void scatterRay( glm::vec3 ray_out = glm::reflect(pathSegment.ray.direction, normal); pathSegment.ray.direction = ray_out; pathSegment.ray.origin = intersect + ray_out * 0.0001f; - pathSegment.color *= m.color; + pathSegment.color *= m.specular.color; #endif return; } diff --git a/src/sceneStructs.h b/src/sceneStructs.h index da4dbf30..ae62df7b 100644 --- a/src/sceneStructs.h +++ b/src/sceneStructs.h @@ -73,4 +73,5 @@ struct ShadeableIntersection { float t; glm::vec3 surfaceNormal; int materialId; + bool outside; }; From 1a5f948633563d577c400193bc23d4b5251f47c8 Mon Sep 17 00:00:00 2001 From: plasmas Date: Sun, 8 Oct 2023 02:00:49 -0400 Subject: [PATCH 06/15] [visual] antialiasing --- src/pathtrace.cu | 48 ++++++++++++++++++++++++++++++++---------------- 1 file changed, 32 insertions(+), 16 deletions(-) diff --git a/src/pathtrace.cu b/src/pathtrace.cu index 89717210..866993f7 100644 --- a/src/pathtrace.cu +++ b/src/pathtrace.cu @@ -20,10 +20,12 @@ #include "device_launch_parameters.h" // toggle material sorting -#define CONTIGUOUS_MATERIAL +#define CONTIGUOUS_MATERIAL 0 // toggle first bounce intersections -#define CACHE_FIRST_BOUNCE +// antialiasing auto ON when CACHE is OFF +#define CACHE_FIRST_BOUNCE 0 + #define ERRORCHECK 1 @@ -86,12 +88,12 @@ static Material* dev_materials = NULL; static PathSegment* dev_paths = NULL; static ShadeableIntersection* dev_intersections = NULL; // TODO: static variables for device memory, any extra info you need, etc -#ifdef CONTIGUOUS_MATERIAL +#if CONTIGUOUS_MATERIAL == 1 static int* dev_indices = NULL; // for materialId grouping static PathSegment* dev_paths_tmp = NULL; // Ping-Pong buffer for reordering static ShadeableIntersection* dev_intersections_tmp = NULL; #endif // CONTIGUOUS_MATERIAL -#ifdef CACHE_FIRST_BOUNCE +#if CACHE_FIRST_BOUNCE == 1 static PathSegment* dev_first_paths = NULL; static ShadeableIntersection* dev_first_intersections = NULL; #endif // CACHE_FIRST_BOUNCE @@ -104,7 +106,7 @@ struct is_path_terminated { } }; -#ifdef CONTIGUOUS_MATERIAL +#if CONTIGUOUS_MATERIAL == 1 // comparator to sort pathSegments and shadeableIntersections based on materialId and t struct IntersectionComparator { ShadeableIntersection* intersections; @@ -144,13 +146,13 @@ void pathtraceInit(Scene* scene) { cudaMemset(dev_intersections, 0, pixelcount * sizeof(ShadeableIntersection)); // TODO: initialize any extra device memeory you need -#ifdef CONTIGUOUS_MATERIAL +#if CONTIGUOUS_MATERIAL == 1 cudaMalloc(&dev_indices, pixelcount * sizeof(int)); cudaMalloc(&dev_paths_tmp, pixelcount * sizeof(PathSegment)); cudaMalloc(&dev_intersections_tmp, pixelcount * sizeof(ShadeableIntersection)); #endif // CONTIGUOUS_MATERIAL -#ifdef CACHE_FIRST_BOUNCE +#if CACHE_FIRST_BOUNCE == 1 cudaMalloc(&dev_first_paths, pixelcount * sizeof(PathSegment)); cudaMalloc(&dev_first_intersections, pixelcount * sizeof(ShadeableIntersection)); const int traceDepth = hst_scene->state.traceDepth; @@ -187,12 +189,12 @@ void pathtraceFree() { cudaFree(dev_materials); cudaFree(dev_intersections); // TODO: clean up any extra device memory you created -#ifdef CONTIGUOUS_MATERIAL +#if CONTIGUOUS_MATERIAL == 1 cudaFree(dev_indices); cudaFree(dev_paths_tmp); cudaFree(dev_intersections_tmp); #endif // CONTIGUOUS_MATERIAL -#ifdef CACHE_FIRST_BOUNCE +#if CACHE_FIRST_BOUNCE == 1 cudaFree(dev_first_paths); cudaFree(dev_first_intersections); #endif // CACHE_FIRST_BOUNCE @@ -219,12 +221,23 @@ __global__ void generateRayFromCamera(Camera cam, int iter, int traceDepth, Path segment.ray.origin = cam.position; segment.color = glm::vec3(1.0f, 1.0f, 1.0f); +#if CACHE_FIRST_BOUNCE == 1 // TODO: implement antialiasing by jittering the ray segment.ray.direction = glm::normalize(cam.view - cam.right * cam.pixelLength.x * ((float)x - (float)cam.resolution.x * 0.5f) - cam.up * cam.pixelLength.y * ((float)y - (float)cam.resolution.y * 0.5f) ); - +#else + // jittering rays , within a pixel range + thrust::default_random_engine rng = makeSeededRandomEngine(iter, index, 0); + thrust::uniform_real_distribution uniform(-0.5f, 0.5f); + float jit_x_num_pixel = uniform(rng); + float jit_y_num_pixel = uniform(rng); + segment.ray.direction = glm::normalize(cam.view + - cam.right * cam.pixelLength.x * ((float)x + jit_x_num_pixel - (float)cam.resolution.x * 0.5f) + - cam.up * cam.pixelLength.y * ((float)y + jit_y_num_pixel - (float)cam.resolution.y * 0.5f) + ); +#endif segment.pixelIndex = index; segment.remainingBounces = traceDepth; } @@ -258,6 +271,7 @@ __global__ void computeIntersections( glm::vec3 tmp_intersect; glm::vec3 tmp_normal; + bool tmp_outside = true; // naive parse through global geoms @@ -267,11 +281,11 @@ __global__ void computeIntersections( if (geom.type == CUBE) { - t = boxIntersectionTest(geom, pathSegment.ray, tmp_intersect, tmp_normal, outside); + t = boxIntersectionTest(geom, pathSegment.ray, tmp_intersect, tmp_normal, tmp_outside); } else if (geom.type == SPHERE) { - t = sphereIntersectionTest(geom, pathSegment.ray, tmp_intersect, tmp_normal, outside); + t = sphereIntersectionTest(geom, pathSegment.ray, tmp_intersect, tmp_normal, tmp_outside); } // TODO: add more intersection tests here... triangle? metaball? CSG? @@ -283,6 +297,7 @@ __global__ void computeIntersections( hit_geom_index = i; intersect_point = tmp_intersect; normal = tmp_normal; + outside = tmp_outside; } } @@ -296,6 +311,7 @@ __global__ void computeIntersections( intersections[path_index].t = t_min; intersections[path_index].materialId = geoms[hit_geom_index].materialid; intersections[path_index].surfaceNormal = normal; + intersections[path_index].outside = outside; } } } @@ -385,7 +401,7 @@ __global__ void shadeMaterial( Material material = materials[intersection.materialId]; Ray ray_in = pathSegments[idx].ray; glm::vec3 intersection_point = ray_in.origin + ray_in.direction * intersection.t; - scatterRay(pathSegments[idx], intersection_point, intersection.surfaceNormal, material, rng); + scatterRay(pathSegments[idx], intersection_point, intersection.surfaceNormal, intersection.outside, material, rng); } // Add output of terminated pathSegments to the overall image @@ -461,7 +477,7 @@ void pathtrace(uchar4* pbo, int frame, int iter) { // for you. // TODO: perform one iteration of path tracing -#ifdef CACHE_FIRST_BOUNCE +#if CACHE_FIRST_BOUNCE == 1 cudaMemcpy(dev_paths, dev_first_paths, pixelcount * sizeof(PathSegment), cudaMemcpyDeviceToDevice); #else generateRayFromCamera<<>>(cam, iter, traceDepth, dev_paths); @@ -483,7 +499,7 @@ void pathtrace(uchar4* pbo, int frame, int iter) { cudaMemset(dev_intersections, 0, pixelcount * sizeof(ShadeableIntersection)); dim3 numblocksPathSegmentTracing = (num_paths + blockSize1d - 1) / blockSize1d; -#ifdef CACHE_FIRST_BOUNCE +#if CACHE_FIRST_BOUNCE == 1 if (depth == 0) { // first bounce, copy intersections instead of compute them cudaMemcpy(dev_intersections, dev_first_intersections, pixelcount * sizeof(ShadeableIntersection), cudaMemcpyDeviceToDevice); @@ -523,7 +539,7 @@ void pathtrace(uchar4* pbo, int frame, int iter) { // TODO: compare between directly shading the path segments and shading // path segments that have been reshuffled to be contiguous in memory. -#ifdef CONTIGUOUS_MATERIAL +#if CONTIGUOUS_MATERIAL == 1 // sort PathSegments and ShadeableIntersections // locate range in dev_indices to initialize the sequence thrust::device_ptr dev_thrust_indices(dev_indices); From ec51e0bb37fe4f57853e747fc873ea5f7774b30e Mon Sep 17 00:00:00 2001 From: plasmas Date: Sun, 8 Oct 2023 02:17:25 -0400 Subject: [PATCH 07/15] [fix] shadow acne offset unify --- src/interactions.h | 10 +++++----- 1 file changed, 5 insertions(+), 5 deletions(-) diff --git a/src/interactions.h b/src/interactions.h index db6e949c..e1abf13e 100644 --- a/src/interactions.h +++ b/src/interactions.h @@ -164,7 +164,7 @@ void scatterRay( } else { // refract - if (glm::length(ray_out_refract) < 0.0001f) { + if (glm::length(ray_out_refract) < 0.001f) { // handle total internal reflection (TIR), use reflection pathSegment.ray.direction = ray_out_reflect; pathSegment.ray.origin = intersect + ray_out_reflect * 0.001f; @@ -213,21 +213,21 @@ void scatterRay( if (choice < weight_diffuse) { // diffuse branch taken pathSegment.ray.direction = ray_out_diffusive; - pathSegment.ray.origin = intersect + ray_out_diffusive * 0.0001f; + pathSegment.ray.origin = intersect + ray_out_diffusive * 0.001f; // for lambertian diffusion, BSDF & PDF are aligned (no need to compute) pathSegment.color *= color_diffuse; } else { // specular branch taken pathSegment.ray.direction = ray_out_specular; - pathSegment.ray.origin = intersect + ray_out_specular * 0.0001f; + pathSegment.ray.origin = intersect + ray_out_specular * 0.001f; pathSegment.color *= color_specular; } #else // original pure specular glm::vec3 ray_out = glm::reflect(pathSegment.ray.direction, normal); pathSegment.ray.direction = ray_out; - pathSegment.ray.origin = intersect + ray_out * 0.0001f; + pathSegment.ray.origin = intersect + ray_out * 0.001f; pathSegment.color *= m.specular.color; #endif return; @@ -240,7 +240,7 @@ void scatterRay( // update pathSegment pathSegment.ray.direction = ray_out; // prevent shadow acne by lifting origin off the surface for a bit - pathSegment.ray.origin = intersect + ray_out * 0.0001f; + pathSegment.ray.origin = intersect + ray_out * 0.001f; // PDF is aligned with BSDF, no need to calculate PDF/BSDF pathSegment.color *= m.color; } From d1eaa5182db723de8600a5277eea03b9c05505cb Mon Sep 17 00:00:00 2001 From: plasmas Date: Sun, 8 Oct 2023 13:02:30 -0400 Subject: [PATCH 08/15] [visual] fish-eye camera --- src/interactions.h | 1 + src/pathtrace.cu | 70 ++++++++++++++++++++++++++++++++++++++++------ 2 files changed, 63 insertions(+), 8 deletions(-) diff --git a/src/interactions.h b/src/interactions.h index e1abf13e..e10b7084 100644 --- a/src/interactions.h +++ b/src/interactions.h @@ -82,6 +82,7 @@ __host__ __device__ glm::vec3 calcPerturbedSpecularDirection( } #endif // IMPERFECT_SPECULAR == 1 +// calculate reflection coefficient __host__ __device__ float calcFrensel(const PathSegment& pathSegment, glm::vec3 normal, const Material& m) { // cosine angle between incident ray and normal float cosTheta = glm::dot(pathSegment.ray.direction, -normal); diff --git a/src/pathtrace.cu b/src/pathtrace.cu index 866993f7..5d9dae47 100644 --- a/src/pathtrace.cu +++ b/src/pathtrace.cu @@ -23,9 +23,17 @@ #define CONTIGUOUS_MATERIAL 0 // toggle first bounce intersections -// antialiasing auto ON when CACHE is OFF +// not available when CACHE is ON or FISHEYE is ON #define CACHE_FIRST_BOUNCE 0 +// Depth of field +#define CAM_APERTURE_DIAM 1.0f // set to 0.0f for no depth of field +#define CAM_FOCAL_DIST 11.58f + +// toggle fisheye camera +// not available when CACHE is ON +#define CAM_FISHEYE 0 +#define CAM_FISHEYE_MAX_ANGLE PI/2.0f #define ERRORCHECK 1 @@ -201,6 +209,25 @@ void pathtraceFree() { checkCUDAError("pathtraceFree"); } +#if CAM_FISHEYE == 1 +// calculate fish eye coordinate, given pixel coordinates in range [-1, 1] +__host__ __device__ glm::vec3 calcFishEye(float u, float v) { + float radiant_dist = sqrtf(u * u + v * v); + if (radiant_dist > 1.0f) { + return glm::vec3(0.f); + } + // compute angles + float theta = radiant_dist * CAM_FISHEYE_MAX_ANGLE; + float phi = atan2f(-v, -u); + return glm::vec3( + sinf(theta) * cosf(phi), + sinf(theta) * sinf(phi), + cosf(theta) + ); +} +#endif // CAM_FISHEYE + + /** * Generate PathSegments with rays from the camera through the screen into the * scene, which is the first bounce of rays. @@ -228,15 +255,42 @@ __global__ void generateRayFromCamera(Camera cam, int iter, int traceDepth, Path - cam.up * cam.pixelLength.y * ((float)y - (float)cam.resolution.y * 0.5f) ); #else - // jittering rays , within a pixel range + // jittering rays, subpixel for antialiasing thrust::default_random_engine rng = makeSeededRandomEngine(iter, index, 0); - thrust::uniform_real_distribution uniform(-0.5f, 0.5f); - float jit_x_num_pixel = uniform(rng); - float jit_y_num_pixel = uniform(rng); - segment.ray.direction = glm::normalize(cam.view + thrust::uniform_real_distribution uniform_pixel(-0.5f, 0.5f); // can shift at most 0.5 pixel + float jit_x_num_pixel = uniform_pixel(rng); + float jit_y_num_pixel = uniform_pixel(rng); + + // jittering within aperture for depth-of-field + thrust::uniform_real_distribution uniform_radius(0, 0.5f * CAM_APERTURE_DIAM); + thrust::uniform_real_distribution uniform_angle(0, 2.0f * PI); + float radius = uniform_radius(rng); + float angle = uniform_angle(rng); + float jit_aperture_x = radius * cosf(angle); + float jit_aperture_y = radius * sinf(angle); + +#if CAM_FISHEYE == 1 + // FishEye camera + float u = ((float)x - (float)cam.resolution.x * 0.5f) / ((float)cam.resolution.x * 0.5f); + float v = ((float)y - (float)cam.resolution.y * 0.5f) / ((float)cam.resolution.y * 0.5f); + glm::vec3 fisheye_dir = calcFishEye(u, v); + if (glm::length(fisheye_dir) < 0.001f) { + segment.color = glm::vec3(0.f); + segment.remainingBounces = 0; + return; + } + segment.ray.direction = glm::normalize(cam.view * fisheye_dir.z + + cam.right * fisheye_dir.x + + cam.up * fisheye_dir.y); +#else + // setting origin (randomized on aperture) + segment.ray.origin = cam.position + cam.right * jit_aperture_x + cam.up * jit_aperture_y; + + glm::vec3 focal_point = cam.position + glm::normalize(cam.view - cam.right * cam.pixelLength.x * ((float)x + jit_x_num_pixel - (float)cam.resolution.x * 0.5f) - - cam.up * cam.pixelLength.y * ((float)y + jit_y_num_pixel - (float)cam.resolution.y * 0.5f) - ); + - cam.up * cam.pixelLength.y * ((float)y + jit_y_num_pixel - (float)cam.resolution.y * 0.5f)) * CAM_FOCAL_DIST; + segment.ray.direction = glm::normalize(focal_point - segment.ray.origin); +#endif #endif segment.pixelIndex = index; segment.remainingBounces = traceDepth; From 91551031f65585dbc909378910f8a918b84549ed Mon Sep 17 00:00:00 2001 From: plasmas Date: Sun, 8 Oct 2023 21:12:06 -0400 Subject: [PATCH 09/15] [visual] paranoma & motion blur --- src/pathtrace.cu | 107 +++++++++++++++++++++++++++++++++++++++++---- src/scene.cpp | 2 + src/sceneStructs.h | 1 + 3 files changed, 101 insertions(+), 9 deletions(-) diff --git a/src/pathtrace.cu b/src/pathtrace.cu index 5d9dae47..17f4dbd3 100644 --- a/src/pathtrace.cu +++ b/src/pathtrace.cu @@ -8,6 +8,8 @@ #include #include #include +#include +#include #include "sceneStructs.h" #include "scene.h" @@ -27,14 +29,18 @@ #define CACHE_FIRST_BOUNCE 0 // Depth of field -#define CAM_APERTURE_DIAM 1.0f // set to 0.0f for no depth of field +#define CAM_APERTURE_DIAM 0.0f // set to 0.0f for no depth of field #define CAM_FOCAL_DIST 11.58f // toggle fisheye camera // not available when CACHE is ON -#define CAM_FISHEYE 0 +// 0 for pin-hole, 1 for fish-eye, 2 for panorama +#define CAM_STYLE 0 #define CAM_FISHEYE_MAX_ANGLE PI/2.0f +// motion blur: set to 0 to disable +#define CAM_SHUTTER_TIME 0 + #define ERRORCHECK 1 #define FILENAME (strrchr(__FILE__, '/') ? strrchr(__FILE__, '/') + 1 : __FILE__) @@ -105,7 +111,10 @@ static ShadeableIntersection* dev_intersections_tmp = NULL; static PathSegment* dev_first_paths = NULL; static ShadeableIntersection* dev_first_intersections = NULL; #endif // CACHE_FIRST_BOUNCE - +#if CAM_SHUTTER_TIME != 0 +// buffer to store moved geoms +static Geom* dev_geoms_tmp = NULL; +#endif // identifier rule for thrust::remove_if struct is_path_terminated { @@ -187,6 +196,9 @@ void pathtraceInit(Scene* scene) { checkCUDAError("trace first bounce"); cudaDeviceSynchronize(); #endif // CACHE_FIRST_BOUNCE +#if CAM_SHUTTER_TIME != 0 + cudaMalloc(&dev_geoms_tmp, scene->geoms.size() * sizeof(Geom)); +#endif checkCUDAError("pathtraceInit"); } @@ -206,10 +218,13 @@ void pathtraceFree() { cudaFree(dev_first_paths); cudaFree(dev_first_intersections); #endif // CACHE_FIRST_BOUNCE +#if CAM_SHUTTER_TIME != 0 + cudaFree(dev_geoms_tmp); +#endif checkCUDAError("pathtraceFree"); } -#if CAM_FISHEYE == 1 +#if CAM_STYLE == 1 // calculate fish eye coordinate, given pixel coordinates in range [-1, 1] __host__ __device__ glm::vec3 calcFishEye(float u, float v) { float radiant_dist = sqrtf(u * u + v * v); @@ -218,14 +233,26 @@ __host__ __device__ glm::vec3 calcFishEye(float u, float v) { } // compute angles float theta = radiant_dist * CAM_FISHEYE_MAX_ANGLE; - float phi = atan2f(-v, -u); + float phi = atan2f(v, u); return glm::vec3( sinf(theta) * cosf(phi), sinf(theta) * sinf(phi), cosf(theta) ); } -#endif // CAM_FISHEYE +#elif CAM_STYLE == 2 +__host__ __device__ glm::vec3 calcPanorama(float u, float v) { + // compute cylindar angles + float elevation = 0.5f * PI * (v); + float azimuth = ((u)) * PI; + // convert into local cartesian coordinates + return glm::vec3( + cosf(elevation) * sinf(azimuth), + sinf(elevation), + cosf(elevation) * cosf(azimuth) + ); +} +#endif // CAM_STYLE /** @@ -269,10 +296,13 @@ __global__ void generateRayFromCamera(Camera cam, int iter, int traceDepth, Path float jit_aperture_x = radius * cosf(angle); float jit_aperture_y = radius * sinf(angle); -#if CAM_FISHEYE == 1 +#if CAM_STYLE != 0 + // some cam type specified, have to compute pixel coordinates [-1, 1] + float u = -((float)x - (float)cam.resolution.x * 0.5f) / ((float)cam.resolution.x * 0.5f); + float v = -((float)y - (float)cam.resolution.y * 0.5f) / ((float)cam.resolution.y * 0.5f); +#endif +#if CAM_STYLE == 1 // FishEye camera - float u = ((float)x - (float)cam.resolution.x * 0.5f) / ((float)cam.resolution.x * 0.5f); - float v = ((float)y - (float)cam.resolution.y * 0.5f) / ((float)cam.resolution.y * 0.5f); glm::vec3 fisheye_dir = calcFishEye(u, v); if (glm::length(fisheye_dir) < 0.001f) { segment.color = glm::vec3(0.f); @@ -282,6 +312,12 @@ __global__ void generateRayFromCamera(Camera cam, int iter, int traceDepth, Path segment.ray.direction = glm::normalize(cam.view * fisheye_dir.z + cam.right * fisheye_dir.x + cam.up * fisheye_dir.y); +#elif CAM_STYLE == 2 + // Panorama + glm::vec3 pano_dir = calcPanorama(u, v); + segment.ray.direction = glm::normalize(cam.view * pano_dir.z + + cam.right * pano_dir.x + + cam.up * pano_dir.y); #else // setting origin (randomized on aperture) segment.ray.origin = cam.position + cam.right * jit_aperture_x + cam.up * jit_aperture_y; @@ -483,6 +519,43 @@ __global__ void finalGather(int nPaths, glm::vec3* image, PathSegment* iteration } } +#if CAM_SHUTTER_TIME != 0 +// a GPU copy from CoreUtilities +__host__ __device__ glm::mat4 buildTransformationMatrix(glm::vec3 translation, glm::vec3 rotation, glm::vec3 scale) { + glm::mat4 translationMat = glm::translate(glm::mat4(), translation); + glm::mat4 rotationMat = glm::rotate(glm::mat4(), rotation.x * (float)PI / 180, glm::vec3(1, 0, 0)); + rotationMat = rotationMat * glm::rotate(glm::mat4(), rotation.y * (float)PI / 180, glm::vec3(0, 1, 0)); + rotationMat = rotationMat * glm::rotate(glm::mat4(), rotation.z * (float)PI / 180, glm::vec3(0, 0, 1)); + glm::mat4 scaleMat = glm::scale(glm::mat4(), scale); + return translationMat * rotationMat * scaleMat; +} + +// update matrices in g +__host__ __device__ void updateGeom(Geom& g) { + g.transform = buildTransformationMatrix( + g.translation, g.rotation, g.scale); + g.inverseTransform = glm::inverse(g.transform); + g.invTranspose = glm::inverseTranspose(g.transform); +} + +// compute geoms at a specific time +__global__ void calcGeoms(Geom* geoms, Geom* geoms_tmp, int num_geoms, float time) { + int index = (blockIdx.x * blockDim.x) + threadIdx.x; + if (index >= num_geoms) { + return; + } + Geom g = geoms[index]; + if (glm::length(g.velocity) < 0.001f) { + geoms_tmp[index] = g; + return; + } + g.translation += g.velocity * time; + updateGeom(g); + geoms_tmp[index] = g; + return; +} +#endif + /** * Wrapper for the __global__ call that sets up the kernel calls and does a ton * of memory management @@ -531,6 +604,18 @@ void pathtrace(uchar4* pbo, int frame, int iter) { // for you. // TODO: perform one iteration of path tracing +#if CAM_SHUTTER_TIME != 0 + // randomize a time between 0 and shutter time + thrust::default_random_engine rng = makeSeededRandomEngine(iter, 0, 0); + thrust::uniform_real_distribution u01(0, CAM_SHUTTER_TIME); + float time = u01(rng); + time = powf(time, 0.4f); + + // generate new geoms based on time + int fullBlocksPerGeom = (hst_scene->geoms.size() + blockSize1d - 1) / blockSize1d; + calcGeoms<<>>(dev_geoms, dev_geoms_tmp, hst_scene->geoms.size(), time); +#endif + #if CACHE_FIRST_BOUNCE == 1 cudaMemcpy(dev_paths, dev_first_paths, pixelcount * sizeof(PathSegment), cudaMemcpyDeviceToDevice); #else @@ -575,7 +660,11 @@ void pathtrace(uchar4* pbo, int frame, int iter) { depth, num_paths, dev_paths, +#if CAM_SHUTTER_TIME != 0 + dev_geoms_tmp, +#else dev_geoms, +#endif hst_scene->geoms.size(), dev_intersections ); diff --git a/src/scene.cpp b/src/scene.cpp index 3fb6239a..f2670ce4 100644 --- a/src/scene.cpp +++ b/src/scene.cpp @@ -74,6 +74,8 @@ int Scene::loadGeom(string objectid) { newGeom.rotation = glm::vec3(atof(tokens[1].c_str()), atof(tokens[2].c_str()), atof(tokens[3].c_str())); } else if (strcmp(tokens[0].c_str(), "SCALE") == 0) { newGeom.scale = glm::vec3(atof(tokens[1].c_str()), atof(tokens[2].c_str()), atof(tokens[3].c_str())); + } else if (strcmp(tokens[0].c_str(), "VELOC") == 0) { + newGeom.velocity = glm::vec3(atof(tokens[1].c_str()), atof(tokens[2].c_str()), atof(tokens[3].c_str())); } utilityCore::safeGetline(fp_in, line); diff --git a/src/sceneStructs.h b/src/sceneStructs.h index ae62df7b..5216ebce 100644 --- a/src/sceneStructs.h +++ b/src/sceneStructs.h @@ -23,6 +23,7 @@ struct Geom { glm::vec3 translation; glm::vec3 rotation; glm::vec3 scale; + glm::vec3 velocity = glm::vec3(0.0f); glm::mat4 transform; glm::mat4 inverseTransform; glm::mat4 invTranspose; From 977ba5b1d662704474f42402eb6821ec6896bc0e Mon Sep 17 00:00:00 2001 From: plasmas Date: Tue, 10 Oct 2023 18:45:58 -0400 Subject: [PATCH 10/15] [fix] update readme & fix refraction artifact --- README.md | 93 ++++++++++++++++++-- img/material_sorting.svg | 1 + img/pure_diffusive.png | Bin 0 -> 1106877 bytes img/pure_specular.png | Bin 0 -> 1101607 bytes img/stream_compaction.svg | 1 + scenes/cornell_closed.txt | 134 +++++++++++++++++++++++++++++ scenes/cornell_diffuse_sphere.txt | 126 +++++++++++++++++++++++++++ scenes/cornell_original.txt | 117 +++++++++++++++++++++++++ scenes/cornell_specular_sphere.txt | 126 +++++++++++++++++++++++++++ src/interactions.h | 22 ++--- src/pathtrace.cu | 2 +- 11 files changed, 599 insertions(+), 23 deletions(-) create mode 100644 img/material_sorting.svg create mode 100644 img/pure_diffusive.png create mode 100644 img/pure_specular.png create mode 100644 img/stream_compaction.svg create mode 100644 scenes/cornell_closed.txt create mode 100644 scenes/cornell_diffuse_sphere.txt create mode 100644 scenes/cornell_original.txt create mode 100644 scenes/cornell_specular_sphere.txt diff --git a/README.md b/README.md index 110697ce..b028a169 100644 --- a/README.md +++ b/README.md @@ -3,11 +3,94 @@ CUDA Path Tracer **University of Pennsylvania, CIS 565: GPU Programming and Architecture, Project 3** -* (TODO) YOUR NAME HERE -* Tested on: (TODO) Windows 22, i7-2222 @ 2.22GHz 22GB, GTX 222 222MB (Moore 2222 Lab) +* Yuanqi Wang + * [LinkedIn](https://www.linkedin.com/in/yuanqi-wang-414b26106/), [GitHub](https://github.com/plasmas). +* Tested on: Windows 11, i5-11600K @ 3.91GHz 32GB, RTX 4090 24GB (Personal Desktop) -### (TODO: Your README) +# Overview -*DO NOT* leave the README to the last minute! It is a crucial part of the -project, and we will not be able to grade you without a good README. +![Showcase Picture]() +A CUDA-based path tracer based on Monte Carlo sampling. + +This path tracer harnesses the parallel processing power of modern NVIDIA GPUs using CUDA to simulate the transport of light in a 3D scene. The Monte Carlo approach allows for accurate simulations of complex lighting phenomena, such as global illumination, caustics, and multiple reflections. + +## Feature List + +- **Optimized Performance**: By leveraging the CUDA platform, the path tracer significantly boosts ray tracing speeds, distributing ray computations across numerous GPU cores. Additional optimizations include: + - Stream compaction and material sorting to minimize warp divergence. + - Caching primary rays and first intersections to eliminate redundant calculations. + +- **Versatile Surface Shading**: The path tracer supports a diverse range of surfaces, encompassing: + - Ideal diffusive (Lambertian) surfaces. + - Perfect and imperfect specular surfaces. + - Refractive materials. + +- **Multiple Importance Sampling (MIS)**: For shading imperfect specular surfaces, MIS is judiciously utilized to mitigate fireflies and reduce variance. + +- **Advanced Antialiasing**: Stochastic sampling with sub-pixel space jittering enhances antialiasing, ensuring smooth and polished edge renderings. + +- **Authentic Depth-of-Field**: The path tracer offers a physically-based depth-of-field, allowing for user-specified aperture diameters and focal lengths, enhanced with random aperture jittering. + +- **Specialized Camera Effects**: + - **Fish-Eye Camera**: Create wide-angle, distorted visual effects characteristic of a fish-eye lens. + - **Panorama Camera**: Capture sweeping, wide-angle views perfect for panoramic visuals. + +- **Dynamic Motion Blur**: Introducing motion into static scenes, the `VELOC` tag lets users assign velocity vectors to objects. Combined with adjustable shutter time, this feature vividly captures the effects of motion blur. + +## Path Tracing Pipeline + +Our path tracer meticulously constructs a detailed rendering of a scene by iterating over rays projected from the camera, accumulating the final colors of each ray. The iterative process can be delineated into the following phases: + +1. **Primary Ray Generation**: + - In this phase, rays emanating from the camera are synthesized in a parallelized manner. + - A caching system is in place that, when activated, preserves primary rays and their initial intersections for reuse in subsequent iterations. + - In scenarios where caching is disabled, advanced features such as antialiasing, motion blur, and other intricate camera effects are operational. + +2. **Intersection Computation**: + - A parallelized computation is carried out to determine each ray's intersection against the entirety of the scene. + - The system is equipped to handle some of primitives, like cubes and spheres. + +3. **Shading & Ray Scattering**: + - Drawing from each ray's properties and its intersection data, the ray's color is refined using a selection of BSDFs. Furthermore, a direction is charted for the succeeding ray in the next iteration. + +4. **Partial Color Accumulation**: + - Rays that either intersect with a light source or reach their bounce threshold have their colors aggregated. + - Stream compaction is utilized to remove these rays post color collection. + +5. **Termination Assessment**: + - The iteration is concluded if no active rays remain. If active rays persist, the process returns to the second phase. + +# Features + +## 1. BSDFs for Basic Materials + +The path tracer has support for basic BSDFs, including pure diffusive (Lambertian) surfaces, and pure specular (mirror-like) surfaces. + +Pure Diffusive (5000 iters, 8 depth) | Pure Specular (5000 iters, 8 depth) +:-------------------------:|:-------------------------: +![Pure Diffusive](img/pure_diffusive.png) | ![Pure Specular](img/pure_specular.png) + +## 2. Active Path Stream Compaction + +To minimize wrap divergence, terminated paths are removed at each bounce. This is done by first collect colors of terminated paths and then stream compaction which checks the remaining number of bounces for each ray. Stream compaction is implemented by `thrust::remove_if` function. + +To quantify the benefits of stream compaction, the number of active paths are recorded in every bounce, within one iteration. The original cornell box (open) and a closed cornell box are used to compare the benefits between open systems and close systems. + +![Stream Compaction](./img/stream_compaction.svg) + +The graphs shows that for both open and closed boxes, the number of remaining active paths decrease as the number of bounces increases, but the decrease is more obvious in the open box. This is expected as open box allows paths to escape the box to enter the void, but not for closed boxes. Open box also has a steady decrease of active paths, which is due to paths hitting light sources and terminating prematurely. Therefore we can say that for this specific path tracer, the benefits of stream compaction increases for more closed system and also fore systems with more light sources. + +Compared to no stream compaction - launching 640,000 thread for 8 time, - stream compaction eliminates over 51.5% of number of threads launched in an open box, and only about 3.8% in a closed box. These threads correspond to inactive paths, and would cause an unnecessary overhead. + +## 3. Material Sorting + +Also to minimize wrap divergence, paths and their intersections are sorted acccording to the material type they hit in each iteration, so that each wrap will contain more threads that will access the same material info. `thust::sequence` is used to generate a sequence of indices, and then sorted with `thrust::sort` according to intersection material ids. Finally, paths and intersections are shuffled according to the sorted indices. + +To understand the outcome of this optimization, we measure average time to generate a frame, using the original Cornell box with only 4 material types. + +![Material Sorting](./img/material_sorting.svg) + +Without material sorting, it takes about 3.0ms per frame. And with sorting, the time comes to 7.7ms. It is obvious that for this specific scene, sorting materials actually has negative impact on performance. Even though sorting materials indeed enhance memory coarsening, the sorting overhead dwarfs the benefit of memory coarsening, especially when the number of materials is low. + +# Reference \ No newline at end of file diff --git a/img/material_sorting.svg b/img/material_sorting.svg new file mode 100644 index 00000000..a4547438 --- /dev/null +++ b/img/material_sorting.svg @@ -0,0 +1 @@ +Material SortingWithoutSortingWithSortingCornell Box0246810SceneRender Time per Frame \ No newline at end of file diff --git a/img/pure_diffusive.png b/img/pure_diffusive.png new file mode 100644 index 0000000000000000000000000000000000000000..ec55d9010df887c61af1a82c99509b93b400cf15 GIT binary patch literal 1106877 zcmeEt>0eTb`}SGj00N@90UBtQyNQTpW&t(XW<_PCws_2qY@@QGm2)6%N-f*ftT{~^ z(^#2VW95v8EHhJM%E~dDXxhv++T7(leE)~%QBme?UGbJ{iKgX2>svN|Ha_{^5Fk(87T6c z&{LV^4r?xjUzSp-X+7WGiapuio>P=9B3x=4yx-V(tDfw6OUW~0i7k98Vt}H$DP0{E z5*J5NRAx$w?c3Whm8pjECV`flWY69ga+msd`DKl9H8v<6-^|CZ7Z(*_A+fP_avcRu 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zb_H=777ht~r$G;w!VS#e)pwz^rBF>O&|}5!Iszx?1drMATX_-p9fK3OHnDKlW=3%X zHpNEu&(j&?2O0y!wD}9(%*6h%#O|trtit}aW89bVytEoL5TLP>Ccf&DwJ-w7Z+vW` z+k(E~r{)oU>&ZDr`1Dw*HQYrB=I+8XAB)IG*~BG3vI3D`m`K(s?5nnOK6t6CnMe8e z42Nlvf7v_SHd}lpPv5-3$U@iRL0czITCH0>%5)%*q?@;Zi#6`Z0maX88Mn1tMOIpFK5N)6UA3-+NmY;&_TK6`ijfGdEfti-}BEx-U*qIF+1vi nU;q0L{&yYxe{TcygEIgWCEJD`I+x`D(4RTcu|Hgll&Sv@1^39p literal 0 HcmV?d00001 diff --git a/img/stream_compaction.svg b/img/stream_compaction.svg new file mode 100644 index 00000000..980ed612 --- /dev/null +++ b/img/stream_compaction.svg @@ -0,0 +1 @@ +#Remaining Paths after Stream Compaction (8 depth)OpenBoxCloasedBox123456780200,000400,000600,000800,000Before BounceRemaining Paths \ No newline at end of file diff --git a/scenes/cornell_closed.txt b/scenes/cornell_closed.txt new file mode 100644 index 00000000..79f0c9ca --- /dev/null +++ b/scenes/cornell_closed.txt @@ -0,0 +1,134 @@ +// Emissive material (light) +MATERIAL 0 +RGB 1 1 1 +SPECEX 0 +SPECRGB 0 0 0 +REFL 0 +REFR 0 +REFRIOR 0 +EMITTANCE 5 + +// Diffuse white +MATERIAL 1 +RGB .98 .98 .98 +SPECEX 0 +SPECRGB 0 0 0 +REFL 0 +REFR 0 +REFRIOR 0 +EMITTANCE 0 + +// Diffuse red +MATERIAL 2 +RGB .85 .35 .35 +SPECEX 0 +SPECRGB 0 0 0 +REFL 0 +REFR 0 +REFRIOR 0 +EMITTANCE 0 + +// Diffuse green +MATERIAL 3 +RGB .35 .85 .35 +SPECEX 0 +SPECRGB 0 0 0 +REFL 0 +REFR 0 +REFRIOR 0 +EMITTANCE 0 + +// Specular white +MATERIAL 4 +RGB .98 .98 .98 +SPECEX 0 +SPECRGB .98 .98 .98 +REFL 1 +REFR 0 +REFRIOR 0 +EMITTANCE 0 + +MATERIAL 5 +RGB 0.98 0.92 0.70 +SPECEX 0 +SPECRGB 0.98 0.92 0.70 +REFL 0 +REFR 0 +REFRIOR 0 +EMITTANCE 0 + +// Camera +CAMERA +RES 800 800 +FOVY 45 +ITERATIONS 5000 +DEPTH 8 +FILE cornell +EYE 0.0 5 3 +LOOKAT 0 5 0 +UP 0 1 0 + + +// Ceiling light +OBJECT 0 +cube +material 0 +TRANS 0 10 0 +ROTAT 0 0 0 +SCALE 3 .3 3 + +// Floor +OBJECT 1 +cube +material 1 +TRANS 0 0 0 +ROTAT 0 0 0 +SCALE 10 .01 10 + +// Ceiling +OBJECT 2 +cube +material 1 +TRANS 0 10 0 +ROTAT 0 0 90 +SCALE .01 10 10 + +// Back wall +OBJECT 3 +cube +material 1 +TRANS 0 5 -5 +ROTAT 0 90 0 +SCALE .01 10 10 + +// Left wall +OBJECT 4 +cube +material 2 +TRANS -5 5 0 +ROTAT 0 0 0 +SCALE .01 10 10 + +// Right wall +OBJECT 5 +cube +material 3 +TRANS 5 5 0 +ROTAT 0 0 0 +SCALE .01 10 10 + +// Sphere +OBJECT 6 +sphere +material 5 +TRANS 0 5 -2 +ROTAT 0 0 0 +SCALE 4 4 4 + +// Front wall +OBJECT 7 +cube +material 1 +TRANS 0 5 5 +ROTAT 0 90 0 +SCALE .01 10 10 \ No newline at end of file diff --git a/scenes/cornell_diffuse_sphere.txt b/scenes/cornell_diffuse_sphere.txt new file mode 100644 index 00000000..5d34cc33 --- /dev/null +++ b/scenes/cornell_diffuse_sphere.txt @@ -0,0 +1,126 @@ +// Emissive material (light) +MATERIAL 0 +RGB 1 1 1 +SPECEX 0 +SPECRGB 0 0 0 +REFL 0 +REFR 0 +REFRIOR 0 +EMITTANCE 5 + +// Diffuse white +MATERIAL 1 +RGB .98 .98 .98 +SPECEX 0 +SPECRGB 0 0 0 +REFL 0 +REFR 0 +REFRIOR 0 +EMITTANCE 0 + +// Diffuse red +MATERIAL 2 +RGB .85 .35 .35 +SPECEX 0 +SPECRGB 0 0 0 +REFL 0 +REFR 0 +REFRIOR 0 +EMITTANCE 0 + +// Diffuse green +MATERIAL 3 +RGB .35 .85 .35 +SPECEX 0 +SPECRGB 0 0 0 +REFL 0 +REFR 0 +REFRIOR 0 +EMITTANCE 0 + +// Specular white +MATERIAL 4 +RGB .98 .98 .98 +SPECEX 0 +SPECRGB .98 .98 .98 +REFL 1 +REFR 0 +REFRIOR 0 +EMITTANCE 0 + +MATERIAL 5 +RGB 0.98 0.92 0.70 +SPECEX 0 +SPECRGB 0 0 0 +REFL 0 +REFR 0 +REFRIOR 0 +EMITTANCE 0 + +// Camera +CAMERA +RES 800 800 +FOVY 45 +ITERATIONS 5000 +DEPTH 8 +FILE cornell +EYE 0.0 5 10.5 +LOOKAT 0 5 0 +UP 0 1 0 + + +// Ceiling light +OBJECT 0 +cube +material 0 +TRANS 0 10 0 +ROTAT 0 0 0 +SCALE 3 .3 3 + +// Floor +OBJECT 1 +cube +material 1 +TRANS 0 0 0 +ROTAT 0 0 0 +SCALE 10 .01 10 + +// Ceiling +OBJECT 2 +cube +material 1 +TRANS 0 10 0 +ROTAT 0 0 90 +SCALE .01 10 10 + +// Back wall +OBJECT 3 +cube +material 1 +TRANS 0 5 -5 +ROTAT 0 90 0 +SCALE .01 10 10 + +// Left wall +OBJECT 4 +cube +material 2 +TRANS -5 5 0 +ROTAT 0 0 0 +SCALE .01 10 10 + +// Right wall +OBJECT 5 +cube +material 3 +TRANS 5 5 0 +ROTAT 0 0 0 +SCALE .01 10 10 + +// Sphere +OBJECT 6 +sphere +material 5 +TRANS 0 5 -2 +ROTAT 0 0 0 +SCALE 4 4 4 diff --git a/scenes/cornell_original.txt b/scenes/cornell_original.txt new file mode 100644 index 00000000..83ff8202 --- /dev/null +++ b/scenes/cornell_original.txt @@ -0,0 +1,117 @@ +// Emissive material (light) +MATERIAL 0 +RGB 1 1 1 +SPECEX 0 +SPECRGB 0 0 0 +REFL 0 +REFR 0 +REFRIOR 0 +EMITTANCE 5 + +// Diffuse white +MATERIAL 1 +RGB .98 .98 .98 +SPECEX 0 +SPECRGB 0 0 0 +REFL 0 +REFR 0 +REFRIOR 0 +EMITTANCE 0 + +// Diffuse red +MATERIAL 2 +RGB .85 .35 .35 +SPECEX 0 +SPECRGB 0 0 0 +REFL 0 +REFR 0 +REFRIOR 0 +EMITTANCE 0 + +// Diffuse green +MATERIAL 3 +RGB .35 .85 .35 +SPECEX 0 +SPECRGB 0 0 0 +REFL 0 +REFR 0 +REFRIOR 0 +EMITTANCE 0 + +// Specular white +MATERIAL 4 +RGB .98 .98 .98 +SPECEX 0 +SPECRGB .98 .98 .98 +REFL 1 +REFR 0 +REFRIOR 0 +EMITTANCE 0 + +// Camera +CAMERA +RES 800 800 +FOVY 45 +ITERATIONS 5000 +DEPTH 8 +FILE cornell +EYE 0.0 5 10.5 +LOOKAT 0 5 0 +UP 0 1 0 + + +// Ceiling light +OBJECT 0 +cube +material 0 +TRANS 0 10 0 +ROTAT 0 0 0 +SCALE 3 .3 3 + +// Floor +OBJECT 1 +cube +material 1 +TRANS 0 0 0 +ROTAT 0 0 0 +SCALE 10 .01 10 + +// Ceiling +OBJECT 2 +cube +material 1 +TRANS 0 10 0 +ROTAT 0 0 90 +SCALE .01 10 10 + +// Back wall +OBJECT 3 +cube +material 1 +TRANS 0 5 -5 +ROTAT 0 90 0 +SCALE .01 10 10 + +// Left wall +OBJECT 4 +cube +material 2 +TRANS -5 5 0 +ROTAT 0 0 0 +SCALE .01 10 10 + +// Right wall +OBJECT 5 +cube +material 3 +TRANS 5 5 0 +ROTAT 0 0 0 +SCALE .01 10 10 + +// Sphere +OBJECT 6 +sphere +material 4 +TRANS -1 4 -1 +ROTAT 0 0 0 +SCALE 3 3 3 diff --git a/scenes/cornell_specular_sphere.txt b/scenes/cornell_specular_sphere.txt new file mode 100644 index 00000000..79f810a2 --- /dev/null +++ b/scenes/cornell_specular_sphere.txt @@ -0,0 +1,126 @@ +// Emissive material (light) +MATERIAL 0 +RGB 1 1 1 +SPECEX 0 +SPECRGB 0 0 0 +REFL 0 +REFR 0 +REFRIOR 0 +EMITTANCE 5 + +// Diffuse white +MATERIAL 1 +RGB .98 .98 .98 +SPECEX 0 +SPECRGB 0 0 0 +REFL 0 +REFR 0 +REFRIOR 0 +EMITTANCE 0 + +// Diffuse red +MATERIAL 2 +RGB .85 .35 .35 +SPECEX 0 +SPECRGB 0 0 0 +REFL 0 +REFR 0 +REFRIOR 0 +EMITTANCE 0 + +// Diffuse green +MATERIAL 3 +RGB .35 .85 .35 +SPECEX 0 +SPECRGB 0 0 0 +REFL 0 +REFR 0 +REFRIOR 0 +EMITTANCE 0 + +// Specular white +MATERIAL 4 +RGB .98 .98 .98 +SPECEX 0 +SPECRGB .98 .98 .98 +REFL 1 +REFR 0 +REFRIOR 0 +EMITTANCE 0 + +MATERIAL 5 +RGB 0.98 0.92 0.70 +SPECEX 0 +SPECRGB 0.98 0.92 0.70 +REFL 1 +REFR 0 +REFRIOR 0 +EMITTANCE 0 + +// Camera +CAMERA +RES 800 800 +FOVY 45 +ITERATIONS 5000 +DEPTH 8 +FILE cornell +EYE 0.0 5 10.5 +LOOKAT 0 5 0 +UP 0 1 0 + + +// Ceiling light +OBJECT 0 +cube +material 0 +TRANS 0 10 0 +ROTAT 0 0 0 +SCALE 3 .3 3 + +// Floor +OBJECT 1 +cube +material 1 +TRANS 0 0 0 +ROTAT 0 0 0 +SCALE 10 .01 10 + +// Ceiling +OBJECT 2 +cube +material 1 +TRANS 0 10 0 +ROTAT 0 0 90 +SCALE .01 10 10 + +// Back wall +OBJECT 3 +cube +material 1 +TRANS 0 5 -5 +ROTAT 0 90 0 +SCALE .01 10 10 + +// Left wall +OBJECT 4 +cube +material 2 +TRANS -5 5 0 +ROTAT 0 0 0 +SCALE .01 10 10 + +// Right wall +OBJECT 5 +cube +material 3 +TRANS 5 5 0 +ROTAT 0 0 0 +SCALE .01 10 10 + +// Sphere +OBJECT 6 +sphere +material 5 +TRANS 0 5 -2 +ROTAT 0 0 0 +SCALE 4 4 4 diff --git a/src/interactions.h b/src/interactions.h index e10b7084..4646e9a1 100644 --- a/src/interactions.h +++ b/src/interactions.h @@ -82,20 +82,6 @@ __host__ __device__ glm::vec3 calcPerturbedSpecularDirection( } #endif // IMPERFECT_SPECULAR == 1 -// calculate reflection coefficient -__host__ __device__ float calcFrensel(const PathSegment& pathSegment, glm::vec3 normal, const Material& m) { - // cosine angle between incident ray and normal - float cosTheta = glm::dot(pathSegment.ray.direction, -normal); - - // swap index if inside - float ior_i = 1.0f; - float ior_o = m.indexOfRefraction; - - // calculate reflection coefficient using Schlick's approx. - float r0 = powf((ior_i - ior_o) / (ior_i + ior_o), 2.0f); - return r0 + (1.0f - r0) * powf((1.0f - cosTheta), 5.0f); -} - /** * Scatter a ray with some probabilities according to the material properties. * For example, a diffuse surface scatters in a cosine-weighted hemisphere. @@ -151,13 +137,15 @@ void scatterRay( glm::vec3 ray_out_reflect = glm::reflect(pathSegment.ray.direction, normal); glm::vec3 ray_out_refract = glm::refract(pathSegment.ray.direction, normal, eta); - // calculate reflection coefficient - float r = calcFrensel(pathSegment, normal, m); + // compute coefficient of reflection + float cosThetaI = glm::dot(pathSegment.ray.direction, -normal); + float R0 = powf((1.0f - m.indexOfRefraction) / (1.0f + m.indexOfRefraction), 2.0f); + float coefReflection = R0 + (1.0f - R0) * powf((1.0f - cosThetaI), 5.0f); //// choose to sample Specular or Refraction thrust::uniform_real_distribution u01(0, 1); float choice = u01(rng); - if (choice < r) { + if (choice < coefReflection) { // reflect pathSegment.ray.origin = intersect + ray_out_reflect * 0.001f; pathSegment.ray.direction = ray_out_reflect; diff --git a/src/pathtrace.cu b/src/pathtrace.cu index 17f4dbd3..8519ab6d 100644 --- a/src/pathtrace.cu +++ b/src/pathtrace.cu @@ -22,7 +22,7 @@ #include "device_launch_parameters.h" // toggle material sorting -#define CONTIGUOUS_MATERIAL 0 +#define CONTIGUOUS_MATERIAL 1 // toggle first bounce intersections // not available when CACHE is ON or FISHEYE is ON From 40d67e827f103ebde1ce458116353426e0ab4474 Mon Sep 17 00:00:00 2001 From: plasmas Date: Tue, 10 Oct 2023 21:28:01 -0400 Subject: [PATCH 11/15] [fix] compact refraction --- src/interactions.h | 20 ++++++-------------- 1 file changed, 6 insertions(+), 14 deletions(-) diff --git a/src/interactions.h b/src/interactions.h index 4646e9a1..c653540e 100644 --- a/src/interactions.h +++ b/src/interactions.h @@ -145,25 +145,17 @@ void scatterRay( //// choose to sample Specular or Refraction thrust::uniform_real_distribution u01(0, 1); float choice = u01(rng); - if (choice < coefReflection) { - // reflect - pathSegment.ray.origin = intersect + ray_out_reflect * 0.001f; + if (choice < coefReflection || glm::length(ray_out_refract) < 0.001f) { + // reflect or TIR + pathSegment.ray.origin = intersect + normal * 0.001f; pathSegment.ray.direction = ray_out_reflect; pathSegment.color *= m.specular.color; } else { // refract - if (glm::length(ray_out_refract) < 0.001f) { - // handle total internal reflection (TIR), use reflection - pathSegment.ray.direction = ray_out_reflect; - pathSegment.ray.origin = intersect + ray_out_reflect * 0.001f; - pathSegment.color *= m.specular.color; - } else { - // not TIR - pathSegment.ray.origin = intersect + pathSegment.ray.direction * 0.001f; - pathSegment.ray.direction = ray_out_refract; - pathSegment.color *= m.color; - } + pathSegment.ray.direction = ray_out_refract; + pathSegment.ray.origin = intersect + (-normal) * 0.001f; + pathSegment.color *= m.color; } return; } From 4729565a56a668534ca24efde916386cfa99da0d Mon Sep 17 00:00:00 2001 From: plasmas Date: Tue, 10 Oct 2023 22:15:02 -0400 Subject: [PATCH 12/15] [fix] unify offset by using normal --- src/interactions.h | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/src/interactions.h b/src/interactions.h index c653540e..a280d672 100644 --- a/src/interactions.h +++ b/src/interactions.h @@ -194,14 +194,14 @@ void scatterRay( if (choice < weight_diffuse) { // diffuse branch taken pathSegment.ray.direction = ray_out_diffusive; - pathSegment.ray.origin = intersect + ray_out_diffusive * 0.001f; + pathSegment.ray.origin = intersect + normal * 0.001f; // for lambertian diffusion, BSDF & PDF are aligned (no need to compute) pathSegment.color *= color_diffuse; } else { // specular branch taken pathSegment.ray.direction = ray_out_specular; - pathSegment.ray.origin = intersect + ray_out_specular * 0.001f; + pathSegment.ray.origin = intersect + normal * 0.001f; pathSegment.color *= color_specular; } #else @@ -221,7 +221,7 @@ void scatterRay( // update pathSegment pathSegment.ray.direction = ray_out; // prevent shadow acne by lifting origin off the surface for a bit - pathSegment.ray.origin = intersect + ray_out * 0.001f; + pathSegment.ray.origin = intersect + normal * 0.001f; // PDF is aligned with BSDF, no need to calculate PDF/BSDF pathSegment.color *= m.color; } From 25b9fb12f01e07d7dd2f3b7cb6b262aa1048a5ea Mon Sep 17 00:00:00 2001 From: plasmas Date: Tue, 10 Oct 2023 22:15:37 -0400 Subject: [PATCH 13/15] [readme] update readme --- README.md | 14 ++ img/caching.svg | 1 + img/imperfect_specular.png | Bin 0 -> 1634065 bytes img/refraction.png | Bin 0 -> 1625418 bytes scenes/cornell_multiple_spheres.txt | 236 ++++++++++++++++++++++++++++ scenes/imperfect_specular.txt | 199 +++++++++++++++++++++++ scenes/sphere.txt | 28 ---- src/pathtrace.cu | 2 +- 8 files changed, 451 insertions(+), 29 deletions(-) create mode 100644 img/caching.svg create mode 100644 img/imperfect_specular.png create mode 100644 img/refraction.png create mode 100644 scenes/cornell_multiple_spheres.txt create mode 100644 scenes/imperfect_specular.txt delete mode 100644 scenes/sphere.txt diff --git a/README.md b/README.md index b028a169..bc6aa6a8 100644 --- a/README.md +++ b/README.md @@ -93,4 +93,18 @@ To understand the outcome of this optimization, we measure average time to gener Without material sorting, it takes about 3.0ms per frame. And with sorting, the time comes to 7.7ms. It is obvious that for this specific scene, sorting materials actually has negative impact on performance. Even though sorting materials indeed enhance memory coarsening, the sorting overhead dwarfs the benefit of memory coarsening, especially when the number of materials is low. +## 4. Primary Ray & First Interaction Caching + +In situations where there is no randomization in the generation of first ray and the objects are static, primary rays are always the same, as well as their first intersections with the scene. Therefore, we can cache the primary rays at the beginning of the first iteration, in the `pathtraceInit()` method. When the camera moves, the init function will be called again, and the cache will be updated. + +![Primary Ray Caching](./img/caching.svg) + +From the testing result under different maximum bounce limit, it seems that the performance difference is a constant factor, and does not increase with the bounce limit. This is expected because the only computation eliminated is the first bounce of each iteration, and subsequent bounces are the same. On my GPU, the performance gain of caching is on average 0.28ms. + +## 5. Refraction + +The path tracer also supports ideal refraction, combined with Frensel's effect, which is emulated by Schlick's approximation. + + + # Reference \ No newline at end of file diff --git a/img/caching.svg b/img/caching.svg new file mode 100644 index 00000000..24c323ed --- /dev/null +++ b/img/caching.svg @@ -0,0 +1 @@ +Primary Ray & First Bounce Intersection CachingWithoutCachingWithCaching234567801234Max BounceRender Time per Frame (ms) \ No newline at end of file diff --git a/img/imperfect_specular.png b/img/imperfect_specular.png new file mode 100644 index 0000000000000000000000000000000000000000..faf568ce487c5a046ab132a263f29859d3dfed8b GIT binary patch literal 1634065 zcmWh!c~}$Y*PSH`kWEAg5FjcFDhOc_f}jBx+A1P-!Kf&s$WlusZiouZ3{=`5^JSs5Sf~sVl-0z;qa5w5|pHpksUi;BfV1{k4G$np(!(w zUC@G%jZec&uNT)RHc2SToQxpJyUe74--|N9S!71yL&`XDqWIXc%Y{a27}Zf^a<6{U zU^xMVPFz%}axLbz+B(Jtpz6ag%2*nkIn(yQqnj$!Me5>AiT3VQf`zYo`z&Jy(`l5F 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+SPECRGB 0 0 0 +REFL 0 +REFR 0 +REFRIOR 0 +EMITTANCE 0 + +// Diffuse green +MATERIAL 3 +RGB .35 .85 .35 +SPECEX 0 +SPECRGB 0 0 0 +REFL 0 +REFR 0 +REFRIOR 0 +EMITTANCE 0 + +// Specular white +MATERIAL 4 +RGB .98 .98 .98 +SPECEX 0 +SPECRGB .98 .98 .98 +REFL 1 +REFR 0 +REFRIOR 0 +EMITTANCE 0 + +// Refractive Light Blue +MATERIAL 5 +RGB 0.7 0.7 0.9 +SPECEX 0 +SPECRGB 0.7 0.7 0.9 +REFL 0 +REFR 1 +REFRIOR 1.5 +EMITTANCE 0 + +// Refractive Light Pink +MATERIAL 6 +RGB 0.9 0.7 0.7 +SPECEX 0 +SPECRGB 0.9 0.7 0.7 +REFL 0 +REFR 1 +REFRIOR 1.5 +EMITTANCE 0 + +// Refractive Light Green +MATERIAL 7 +RGB 0.7 0.9 0.7 +SPECEX 0 +SPECRGB 0.7 0.9 0.7 +REFL 0 +REFR 1 +REFRIOR 1.5 +EMITTANCE 0 + +// Refractive Light Yellow +MATERIAL 8 +RGB 0.9 0.9 0.7 +SPECEX 0 +SPECRGB 0.9 0.9 0.7 +REFL 0 +REFR 1 +REFRIOR 1.5 +EMITTANCE 0 + +// Refractive Light Purple +MATERIAL 9 +RGB 0.8 0.7 0.9 +SPECEX 0 +SPECRGB 0.8 0.7 0.9 +REFL 0 +REFR 1 +REFRIOR 1.5 +EMITTANCE 0 + +// Refractive Light Coral +MATERIAL 10 +RGB 0.9 0.8 0.7 +SPECEX 0 +SPECRGB 0.9 0.8 0.7 +REFL 0 +REFR 1 +REFRIOR 1.5 +EMITTANCE 0 + +// Clear Refractive +MATERIAL 11 +RGB 1 1 1 +SPECEX 0 +SPECRGB 1 1 1 +REFL 0 +REFR 1 +REFRIOR 1.5 +EMITTANCE 0 + +// Camera +CAMERA +RES 800 800 +FOVY 45 +ITERATIONS 5000 +DEPTH 20 +FILE cornell +EYE 0.0 5 10.5 +LOOKAT 0 5 0 +UP 0 1 0 + + +// Ceiling light +OBJECT 0 +cube +material 0 +TRANS 0 10 0 +ROTAT 0 0 0 +SCALE 3 .3 3 + +// Floor +OBJECT 1 +cube +material 1 +TRANS 0 0 0 +ROTAT 0 0 0 +SCALE 10 .01 10 + +// Ceiling +OBJECT 2 +cube +material 1 +TRANS 0 10 0 +ROTAT 0 0 90 +SCALE .01 10 10 + +// Back wall +OBJECT 3 +cube +material 1 +TRANS 0 5 -5 +ROTAT 0 90 0 +SCALE .01 10 10 + +// Left wall +OBJECT 4 +cube +material 2 +TRANS -5 5 0 +ROTAT 0 0 0 +SCALE .01 10 10 + +// Right wall +OBJECT 5 +cube +material 3 +TRANS 5 5 0 +ROTAT 0 0 0 +SCALE .01 10 10 + + +// Light Blue Sphere +OBJECT 6 +sphere +material 5 +TRANS -2 4 -1 +ROTAT 0 0 0 +SCALE 1.8 1.8 1.8 + +// Light Pink Sphere +OBJECT 7 +sphere +material 6 +TRANS 2 4 -1 +ROTAT 0 0 0 +SCALE 1.8 1.8 1.8 + +// Light Green Sphere +OBJECT 8 +sphere +material 7 +TRANS -2 6 -3 +ROTAT 0 0 0 +SCALE 1.8 1.8 1.8 + +// Light Yellow Sphere +OBJECT 9 +sphere +material 8 +TRANS 2 6 -3 +ROTAT 0 0 0 +SCALE 1.8 1.8 1.8 + +// Light Purple Sphere +OBJECT 10 +sphere +material 9 +TRANS 0 2 2 +ROTAT 0 0 0 +SCALE 1.8 1.8 1.8 + +// Light Coral Sphere +OBJECT 11 +sphere +material 10 +TRANS 0 5 0 +ROTAT 0 0 0 +SCALE 2 2 2 + +// Clear Refractive Sphere +OBJECT 12 +sphere +material 11 +TRANS 3.5 5 -1 +ROTAT 0 0 0 +SCALE 1.5 1.5 1.5 diff --git a/scenes/imperfect_specular.txt b/scenes/imperfect_specular.txt new file mode 100644 index 00000000..15991099 --- /dev/null +++ b/scenes/imperfect_specular.txt @@ -0,0 +1,199 @@ +// Emissive material (light) +MATERIAL 0 +RGB 1 1 1 +SPECEX 0 +SPECRGB 0 0 0 +REFL 0 +REFR 0 +REFRIOR 0 +EMITTANCE 5 + +// Diffuse white +MATERIAL 1 +RGB .98 .98 .98 +SPECEX 0 +SPECRGB 0 0 0 +REFL 0 +REFR 0 +REFRIOR 0 +EMITTANCE 0 + +// Diffuse red +MATERIAL 2 +RGB .85 .35 .35 +SPECEX 0 +SPECRGB 0 0 0 +REFL 0 +REFR 0 +REFRIOR 0 +EMITTANCE 0 + +// Diffuse green +MATERIAL 3 +RGB .35 .85 .35 +SPECEX 0 +SPECRGB 0 0 0 +REFL 0 +REFR 0 +REFRIOR 0 +EMITTANCE 0 + +// Specular white +MATERIAL 4 +RGB .98 .98 .98 +SPECEX 0 +SPECRGB .98 .98 .98 +REFL 1 +REFR 0 +REFRIOR 0 +EMITTANCE 0 + +// Reflective Light Blue +MATERIAL 5 +RGB 0.7 0.7 0.9 +SPECEX 0 +SPECRGB 0.7 0.7 0.9 +REFL 1 +REFR 0 +REFRIOR 3 +EMITTANCE 0 + +// Reflective Light Pink +MATERIAL 6 +RGB 0.9 0.7 0.7 +SPECEX 0 +SPECRGB 0.9 0.7 0.7 +REFL 1 +REFR 0 +REFRIOR 5 +EMITTANCE 0 + +// Reflective Light Green +MATERIAL 7 +RGB 0.7 0.9 0.7 +SPECEX 0 +SPECRGB 0.7 0.9 0.7 +REFL 1 +REFR 0 +REFRIOR 10 +EMITTANCE 0 + +// Reflective Light Yellow +MATERIAL 8 +RGB 0.9 0.9 0.7 +SPECEX 0 +SPECRGB 0.9 0.9 0.7 +REFL 1 +REFR 0 +REFRIOR 20 +EMITTANCE 0 + +// Reflective Light Purple +MATERIAL 9 +RGB 0.8 0.7 0.9 +SPECEX 0 +SPECRGB 0.8 0.7 0.9 +REFL 1 +REFR 0 +REFRIOR 50 +EMITTANCE 0 + +// Camera +CAMERA +RES 800 800 +FOVY 45 +ITERATIONS 5000 +DEPTH 8 +FILE cornell +EYE 0.0 5 10.5 +LOOKAT 0 5 0 +UP 0 1 0 + + +// Ceiling light +OBJECT 0 +cube +material 0 +TRANS 0 10 0 +ROTAT 0 0 0 +SCALE 3 .3 3 + +// Floor +OBJECT 1 +cube +material 1 +TRANS 0 0 0 +ROTAT 0 0 0 +SCALE 10 .01 10 + +// Ceiling +OBJECT 2 +cube +material 1 +TRANS 0 10 0 +ROTAT 0 0 90 +SCALE .01 10 10 + +// Back wall +OBJECT 3 +cube +material 1 +TRANS 0 5 -5 +ROTAT 0 90 0 +SCALE .01 10 10 + +// Left wall +OBJECT 4 +cube +material 2 +TRANS -5 5 0 +ROTAT 0 0 0 +SCALE .01 10 10 + +// Right wall +OBJECT 5 +cube +material 3 +TRANS 5 5 0 +ROTAT 0 0 0 +SCALE .01 10 10 + +// Light Blue Reflective Sphere +OBJECT 6 +sphere +material 5 +TRANS -2 5 -2 +ROTAT 0 0 0 +SCALE 2.5 2.5 2.5 + +// Light Pink Reflective Sphere +OBJECT 7 +sphere +material 6 +TRANS 2 5 -2 +ROTAT 0 0 0 +SCALE 2.5 2.5 2.5 + +// Light Green Reflective Sphere +OBJECT 8 +sphere +material 7 +TRANS 0 5 -4 +ROTAT 0 0 0 +SCALE 2.5 2.5 2.5 + +// Light Yellow Reflective Sphere +OBJECT 9 +sphere +material 8 +TRANS -2 5 2 +ROTAT 0 0 0 +SCALE 2.5 2.5 2.5 + +// Light Purple Reflective Sphere +OBJECT 10 +sphere +material 9 +TRANS 2 5 2 +ROTAT 0 0 0 +SCALE 2.5 2.5 2.5 diff --git a/scenes/sphere.txt b/scenes/sphere.txt deleted file mode 100644 index a74b5458..00000000 --- a/scenes/sphere.txt +++ /dev/null @@ -1,28 +0,0 @@ -// Emissive material (light) -MATERIAL 0 -RGB 1 1 1 -SPECEX 0 -SPECRGB 0 0 0 -REFL 0 -REFR 0 -REFRIOR 0 -EMITTANCE 5 - -// Camera -CAMERA -RES 800 800 -FOVY 45 -ITERATIONS 5000 -DEPTH 8 -FILE sphere -EYE 0.0 5 10.5 -LOOKAT 0 5 0 -UP 0 1 0 - -// Sphere -OBJECT 0 -sphere -material 0 -TRANS 0 0 0 -ROTAT 0 0 0 -SCALE 3 3 3 diff --git a/src/pathtrace.cu b/src/pathtrace.cu index 8519ab6d..17f4dbd3 100644 --- a/src/pathtrace.cu +++ b/src/pathtrace.cu @@ -22,7 +22,7 @@ #include "device_launch_parameters.h" // toggle material sorting -#define CONTIGUOUS_MATERIAL 1 +#define CONTIGUOUS_MATERIAL 0 // toggle first bounce intersections // not available when CACHE is ON or FISHEYE is ON From 62dfc5e85401ca9bfa023e6f1d588ea5db310b27 Mon Sep 17 00:00:00 2001 From: plasmas Date: Wed, 11 Oct 2023 00:54:46 -0400 Subject: [PATCH 14/15] [readme] finish readme --- README.md | 62 ++++++++++++++++++++++++++++++++++++++-- img/aperture_1.png | Bin 0 -> 1119971 bytes img/aperture_5.png | Bin 0 -> 1232169 bytes img/fisheye.png | Bin 0 -> 1052399 bytes img/focal_left.png | Bin 0 -> 1146047 bytes img/focal_right.png | Bin 0 -> 1109994 bytes img/motion_blue.png | Bin 0 -> 1369183 bytes img/showcase.png | Bin 0 -> 375959 bytes img/w_antialiasing.png | Bin 0 -> 57202 bytes img/wo_antialiasing.png | Bin 0 -> 55533 bytes 10 files changed, 60 insertions(+), 2 deletions(-) create mode 100644 img/aperture_1.png create mode 100644 img/aperture_5.png create mode 100644 img/fisheye.png create mode 100644 img/focal_left.png create mode 100644 img/focal_right.png create mode 100644 img/motion_blue.png create mode 100644 img/showcase.png create mode 100644 img/w_antialiasing.png create mode 100644 img/wo_antialiasing.png diff --git a/README.md b/README.md index bc6aa6a8..ee13a03f 100644 --- a/README.md +++ b/README.md @@ -9,7 +9,7 @@ CUDA Path Tracer # Overview -![Showcase Picture]() +![Showcase Picture](./img/showcase.png) A CUDA-based path tracer based on Monte Carlo sampling. @@ -105,6 +105,64 @@ From the testing result under different maximum bounce limit, it seems that the The path tracer also supports ideal refraction, combined with Frensel's effect, which is emulated by Schlick's approximation. +![refraction](./img/refraction.png) +This implementation only accounts for ideal reflections and refraction, so images refracted within spheres are sharp and not blurred. -# Reference \ No newline at end of file +## 6. Imperfect Specular Surfaces with MIS + +To achieve a good mixture of diffusion and specular shading, MIS weights are used to lower the variance and promote convergence. To account for imperfect specular shading, rays leaving the surface are sampled in a lobe centering around the ideal reflect direction. The results resembles a good Phong shading result. + +![Imperfect Specular](./img/imperfect_specular.png) + +The use of MIS weights, which are computed by PDFs for both sampling techniques, lowers the variance and appearance of fireflies drastically. On the contrary, if a 50/50 chance of refraction/reflection chance is chosen, the variance will be so high that the final image will be full of fireflies. + +## 7. Stochastic Antialiasing + +To achieve smoother edges, antialiasing is accomplished by jittering primary rays within the range of a single pixel. Since randomization is introduced, primary ray caching is no longer feasible. + +Here is a side-by-side comparison of edges: + +With Antialiasing (5000 iters, 8 depth) | Without Antialiasing (5000 iters, 8 depth) +:-------------------------:|:-------------------------: +![w/ Antialiasing](./img/w_antialiasing.png) | ![w/o Antialiasing](./img/wo_antialiasing.png) + +## 8. Motion Blur + +In the scene file, a `VELOC` `vec3` tag can be added to each object to specify the velocity vector of its movement. + +To achieve a sense of movement, a time is randomly chosen from 0 to a specified shutter time, and objects will be updated to their respective position at that specific time, achieving a sampling at that time. + +To further show the acceleration of the object, time is sampled more often at the end of the shutter time, so the object is more solid at the end position of its movement. + +![Motion Blur](./img/motion_blue.png) + +The sphere is specified a velocity of `[4, 0, 0]`, therefore moving to the right. It is obvious that the sphere is more solid on the right, which is the endpoint of its movement. + +## 9. Physically-Based Depth-of-Field + +Rather than using a traditional pin-hole camera, the origin of primary rays are instead generated within a small aperture space. The aperture diameter as well as the focal distance can then be specified. + +Focal distance is used to control the focal point and which objects should be sharp and clear: + +Focal Length 12.38 | Focal Length 8.08 +:-------------------------:|:-------------------------: +![Focus Left](./img/focal_left.png) | ![Focus Right](./img/focal_right.png) + +Aperture diameter is used to control the blur degree. Larger aperture means more blur at the same distance from the focal plain: + +Aperture Diameter 1.0 | Aperture Diameter 5.0 +:-------------------------:|:-------------------------: +![Aperture Diameter 1.0](./img/aperture_1.png) | ![Aperture Diameter 5.0](./img/aperture_5.png) + +## 10. Alternative Camera Types + +Fish-eye camera and Panorama camera are also available for this path tracer, by blending primary rays in a spherical or cylindrical coordination. + +Fish Eye Camera | Panorama Camera +:-------------------------:|:-------------------------: +![Fish Eye](./img/fisheye.png) | ![Panorama](./img/panorama.png) + +# Reference + +1. 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