From 022ba1fa7cf26582d6058ee39a5033c781473ed1 Mon Sep 17 00:00:00 2001 From: yhesper Date: Sun, 30 Aug 2020 16:28:17 -0400 Subject: [PATCH] pathtracer doc 1st draft --- ...(-273.149994 + 243.5) - Google Search.html | 206 + .../cb=gapi.loaded_0 | 365 ++ .../googlelogo_color_92x30dp.png | Bin 0 -> 3831 bytes ...spch,tl,uiNkee,vs,wft,xiqEse,xz7cCd,zbML3c | 2240 ++++++++++ .../m=OClNZ,Uuupec,bTaGX,r36a9c,rNtpMd | 379 ++ .../m=wkrYee | 12 + .../rs=AA2YrTtoxWzWOM8c9LLpFmwwe7Am_Zh8-w | 1 + .../rs=AA2YrTvgm6cFIKkew3wqtQ0j-fULdplNSA | 725 +++ .../rs=ACT90oHyczYKMnFrHMjJAmrkPfwzAzfBsg | 3957 +++++++++++++++++ docs/pathtracer/.DS_Store | Bin 0 -> 12292 bytes docs/pathtracer/CBsphere.png | Bin 0 -> 469575 bytes docs/pathtracer/bounding_volume_hierarchy.md | 35 + docs/pathtracer/camera_rays.md | 42 + docs/pathtracer/cornell_classic.png | Bin 0 -> 528316 bytes docs/pathtracer/cornell_lambertian.png | Bin 0 -> 414620 bytes docs/pathtracer/dielectric_eq1.png | Bin 0 -> 2648 bytes docs/pathtracer/dielectric_eq10.png | Bin 0 -> 5922 bytes docs/pathtracer/dielectric_eq2.png | Bin 0 -> 2773 bytes docs/pathtracer/dielectric_eq3.png | Bin 0 -> 2619 bytes docs/pathtracer/dielectric_eq4.png | Bin 0 -> 2732 bytes docs/pathtracer/dielectric_eq5.png | Bin 0 -> 6399 bytes docs/pathtracer/dielectric_eq6.png | Bin 0 -> 10500 bytes docs/pathtracer/dielectric_eq7.png | Bin 0 -> 10575 bytes docs/pathtracer/dielectric_eq8.png | Bin 0 -> 2702 bytes docs/pathtracer/dielectric_eq9.png | Bin 0 -> 3076 bytes .../dielectrics_and_transmission.md | 31 + docs/pathtracer/environment_eq1.png | Bin 0 -> 3270 bytes docs/pathtracer/environment_eq10.png | Bin 0 -> 4469 bytes docs/pathtracer/environment_eq11.png | Bin 0 -> 3644 bytes docs/pathtracer/environment_eq12.png | Bin 0 -> 4469 bytes docs/pathtracer/environment_eq2.png | Bin 0 -> 4978 bytes docs/pathtracer/environment_eq3.png | Bin 0 -> 2957 bytes docs/pathtracer/environment_eq4.png | Bin 0 -> 3039 bytes docs/pathtracer/environment_eq5.png | Bin 0 -> 3817 bytes docs/pathtracer/environment_eq6.png | Bin 0 -> 4370 bytes docs/pathtracer/environment_eq7.png | Bin 0 -> 7468 bytes docs/pathtracer/environment_eq8.png | Bin 0 -> 9538 bytes docs/pathtracer/environment_eq9.png | Bin 0 -> 2493 bytes docs/pathtracer/environment_lighting.md | 44 + docs/pathtracer/envmap_figure.jpg | Bin 0 -> 133244 bytes docs/pathtracer/envmap_gui.png | Bin 0 -> 494268 bytes docs/pathtracer/importance_sampling.md | 22 + docs/pathtracer/intersecting_objects.md | 53 + docs/pathtracer/materials.md | 41 + docs/pathtracer/normalviz.png | Bin 0 -> 546759 bytes docs/pathtracer/overview.md | 27 + docs/pathtracer/path_tracing.md | 49 + docs/pathtracer/ray_triangle_intersection.md | 30 + docs/pathtracer/rays_dir.png | Bin 0 -> 35108 bytes docs/pathtracer/shadow_directional.png | Bin 0 -> 151912 bytes docs/pathtracer/shadow_hemisphere.png | Bin 0 -> 295451 bytes docs/pathtracer/shadow_rays.md | 32 + docs/pathtracer/spheres.png | Bin 0 -> 1858754 bytes docs/pathtracer/triangle_eq1.png | Bin 0 -> 8487 bytes docs/pathtracer/triangle_eq2.png | Bin 0 -> 8199 bytes docs/pathtracer/triangle_eq3.png | Bin 0 -> 14916 bytes docs/pathtracer/triangle_eq4.png | Bin 0 -> 8664 bytes docs/pathtracer/triangle_eq5.png | Bin 0 -> 18692 bytes docs/pathtracer/visualization_of_normals.md | 20 + 59 files changed, 8311 insertions(+) create mode 100644 docs/pathtracer/-273.149994 _ 17.67_(-273.149994 + 243.5) - 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z>hw?Tg-A)W?36sEe*!Xhc87m%Tr%@@BbCUe+iPXza{00#y~4TTx~rs!1C`mW=ps~paM3yA@FHorMig@QY!eJB zKu6WG(As+!6pdh*#j_HhY*6PP#%A1&LFp^FGiCW9dsOh8_EJp&m!=AQtOMx1Q^^qH zN0Sk{wXmGaLmjrWCpiq3bvYGu0d%e7z%4k4I7Uv6CgmLg?Enh5l3z+-F^y?5E)AKHedQh%vSYB zXlC4L_CLWi8WiU3J_Ef+g2%f_4RPER{y`WzG209qgkx94(Umu!3tHqU*?Qasp&>`hwc)5C@9cRS7NyTAOVYXA2E0M5q) Uin_#Bp#T5?07*qoM6N<$f~5TGuK)l5 literal 0 HcmV?d00001 diff --git a/docs/pathtracer/bounding_volume_hierarchy.md b/docs/pathtracer/bounding_volume_hierarchy.md new file mode 100644 index 0000000..2af627a --- /dev/null +++ b/docs/pathtracer/bounding_volume_hierarchy.md @@ -0,0 +1,35 @@ +--- +layout: default +title: "(Task 3) Bounding Volume Hierarchy" +permalink: /pathtracer/bounding_volume_hierarchy +--- + +# (Task 3) Bounding Volume Hierarchy + +In this task you will implement a bounding volume hierarchy that accelerates ray-scene intersection. Most of this work will be in `student/bvh.cpp`. + +First, take a look at the definition for our `BVH` in `rays/bvh.h`. We represent our BVH using a vector of `Node`s, `nodes`, as an implicit tree data structure in the same fashion as heaps that you probably have seen in some other courses. A `Node` has the following fields: + +* `BBox bbox`: the bounding box of the node (bounds all primitives in the subtree rooted by this node) +* `size_t start`: start index of primitives in the `BVH`'s primitive array +* `size_t size`: range of index in the primitive list (number of primitives in the subtree rooted by the node) +* `size_t l`: the index of the left child node +* `size_t r`: the index of the right child node + +The BVH class also maintains a vector of all primitives in the BVH. The fields start and range in the BVH `Node` refer the range of contained primitives in this array. The primitives in this array are not initially in any particular order, and you will need to _rearrange the order_ as you build the BVH so that your BVH can accurately represent the spacial hierarchy. + +The starter code constructs a valid BVH, but it is a trivial BVH with a single node containing all scene primitives. + +## Step 0: Bounding Box Calculation + +Implement `BBox::hit` in `student/bbox.cpp`. +Also if you haven't already, implement `Triangle::bbox` in `student/tri_mesh.cpp`. + +## Step 1: BVH Construction + +Your job is to construct a `BVH` using the [Surface Area Heuristic](http://15462.courses.cs.cmu.edu/fall2017/lecture/acceleratingqueries/slide_025) discussed in class. Tree construction would occur when the BVH object is constructed. + + +## Step 2: Ray-BVH Intersection + +Implement the ray-BVH intersection routine `Trace BVH::hit(const Ray& ray)`. You may wish to consider the node visit order optimizations we discussed in class. Once complete, your renderer should be able to render all of the test scenes in a reasonable amount of time. [Visualization of normals](visualization_of_normals.md) may help with debugging. diff --git a/docs/pathtracer/camera_rays.md b/docs/pathtracer/camera_rays.md new file mode 100644 index 0000000..c1fafaf --- /dev/null +++ b/docs/pathtracer/camera_rays.md @@ -0,0 +1,42 @@ +--- +layout: default +title: "(Task 1) Generating Camera Rays" +permalink: /pathtracer/camera_rays +--- + +# (Task 1) Generating Camera Rays + +"Camera rays" emanate from the camera and measure the amount of scene radiance that reaches a point on the camera's sensor plane. (Given a point on the virtual sensor plane, there is a corresponding camera ray that is traced into the scene.) + +Take a look at `Pathtracer::trace_pixel` in `studnet/pathtracer.cpp`. The job of this function is to compute the amount of energy arriving at this pixel of the image. Conveniently, we've given you a function `Pathtracer::trace_ray(r)` that provides a measurement of incoming scene radiance along the direction given by ray `r`. See `lib/ray.h` for the interface of ray. + +When the number of samples per pixel is 1, you should sample incoming radiance at the center of each pixel by constructing a ray `r` that begins at this sensor location and travels through the camera's pinhole. Once you have computed this ray, then call `Pathtracer::trace_ray(r)` to get the energy deposited in the pixel. When supersampling is enabled, the expected behavior of the program is being addressed below. + +Here are some [rough notes](https://drive.google.com/file/d/0B4d7cujZGEBqVnUtaEsxOUI4dTMtUUItOFR1alQ4bmVBbnU0/view) giving more detail on how to generate camera rays. + +This tutorial from [Scratchapixel](https://www.scratchapixel.com/lessons/3d-basic-rendering/ray-tracing-generating-camera-rays/generating-camera-rays) also provides a detailed walkthrough of what you need to do. (Note that the coordinate convention that Scratchpixel adopted is different from the one we use, and you should stick to the coordinate system from the [rough notes](https://drive.google.com/file/d/0B4d7cujZGEBqVnUtaEsxOUI4dTMtUUItOFR1alQ4bmVBbnU0/view) all the time.) + +**Step 1:** Given the width and height of the screen, and point in screen space, compute the corresponding coordinates of the point in normalized ([0-1]x[0-1]) screen space in `Pathtracer::trace_pixel`. Pass these coordinates to the camera via `Camera::generate_ray` in `camera.cpp`. + +**Step 2:** Implement `Camera::generate_ray`. This function should return a ray **in world space** that reaches the given sensor sample point. We recommend that you compute this ray in camera space (where the camera pinhole is at the origin, the camera is looking down the -Z axis, and +Y is at the top of the screen.). In `util/camera.h`, the `Camera` class stores `vert_fov` and `aspect_ratio` indicating the vertical field of view of the camera (in degrees, not radians) as well as the aspect ratio. Note that the camera maintains camera-space-to-world space transform matirx `iview` that will come fairly handy. + +**Step 3:** Your implementation of `Pathtracer::trace_pixel` must support supersampling (more than one sample per pixel). The member `Pathtracer::ns_aa` in the raytracer class gives the number of samples of scene radiance your ray tracer should take per pixel (a.k.a. the number of camera rays per pixel. You should implement `Rect::Uniform::sample` (see `src/student/samplers.cpp`), such that it provides uniformly distributed random 2D points in the [0-1]^2 box. Supersampling should be implemented by calling get_sample() to obtain randomly chosen points within the pixel. + +Once you have implemented `Pathtracer::trace_pixel`, `Rect::Uniform::sample` and `Camera::generate_ray`, you should have a working camera. + +**Tips:** + +* Since it'll be hard to know if you camera rays are correct until you implement primitive intersection, we recommend debugging your camera rays by checking what your implementation of `Camera::generate_ray` does with rays at the center of the screen (0.5, 0.5) and at the corners of the image. +* The code can log the results of raytracing for visualization and debugging. To do so, simply call function `Pathtracer::log_ray` in your `Pathtracer::trace_pixel`. Function `Pathtracer::log_ray` takes in 3 arguments: the ray thay you want to log, a float that specifies the time/distance to log that ray up to, as well as the color. You don't need to worry about the color as it is being set by default. +After running the ray tracer, rays will be shown as lines in visualizer. Press v to switch to the visualizer, and use s to toggle showing rays. A yellow ray indicates that it intersected some primitive (which you will implement soon). Be sure to wait for rendering to complete so you see all rays while visualizing, a message is printed to standard output on completion. **Ray logging is NOT thread-safe, so only use with a single thread (the default -t 1 setting) and remember to disable it out when you render using multiple threads**. + +**Extra credit ideas:** + +* Modify the implementation of the camera to simulate a camera with a finite aperture (rather than a pinhole camera). This will allow your ray tracer to simulate the effect of defocus blur. +* Write your own sampler that generates samples with improved distribution. 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An environment light is a light that supplies incident radiance (really, the light intensity dPhi/dOmega) from all directions on the sphere. Rather than using a predefined collection of explicit lights, an environment light is a capture of the actual incoming light from some real-world scene; rendering using environment lighting can be quite striking. + +The intensity of incoming light from each direction is defined by a texture map parameterized by phi and theta, as shown below. + +![envmap_figure](envmap_figure.jpg) + +In this task you need to implement the `Env_Map::sample` and `Env_Map::sample_direction` method in `student/env_light.cpp`. You'll start with uniform direction sampling to get things working, and then move to a more advanced implementation that uses **importance sampling** to significantly reduce variance in rendered images. + +## Step 1: Uniform sampling +To get things working, your first implementation of `Env_Map::sample` will be quite simple. You should generate a random direction on the sphere (**with uniform (1/4pi) probability with respect to solid angle**), convert this direction to coordinates (phi, theta) and then look up the appropriate radiance value in the texture map using **bilinear interpolation** (note: we recommend you begin with bilinear interpolation to keep things simple.) + + +Since high dynamic range environment maps can be large files, we have not included them in the starter code repo. You can download a set of environment maps from this [link](http://15462.courses.cs.cmu.edu/fall2015content/misc/asst3_images/asst3_exr_archive.zip).You can designate rendering to use a particular environment map from the GUI: go to `layout` -> `new light` -> `environment map`-> `add`, and then select one of the environment maps that you have just downloaded. + +![envmap_gui](envmap_gui.png) + + +**Tips:** + +* You must write your own code to uniformly sample the sphere. +* check out the interface of `Env_Map` in `rays/env_light.h`. For `Env_Map`, the `image` field is the actual map being represented as a `HDR_Image`, which contains the pixels of the environment map and size of the environment texture. The interface for `HDR_Image` is in `util/hdr_image.h`. + + +## Step 2: Importance sampling the environment map + +Much like light in the real world, most of the energy provided by an environment light source is concentrated in the directions toward bright light sources. **Therefore, it makes sense to bias selection of sampled directions towards the directions for which incoming radiance is the greatest.** In this final task you will implement an importance sampling scheme for environment lights. For environment lights with large variation in incoming light intensities, good importance sampling will significantly improve the quality of renderings. + +The basic idea is that you will assign a probability to each pixel in the environment map based on the total flux passing through the solid angle it represents. We've written up [a set of notes for you here](importance_sampling.md). + +**Here are a few tips:** + +* When computing areas corresponding to a pixel, use the value of theta at the pixel centers. +* We recommend precomputing the joint distributions p(phi, theta) and marginal distributions p(theta) in the constructor of `Sampler::Sphere::Image` and storing the resulting values in fields `pdf`. See `rays/sampler.h`. +* `Spectrum::luma()` returns the luminance (brightness) of a Spectrum. The probability of a pixel should be proportional to the product of its luminance and the solid angle it subtends. +* `std::binary_search` is your friend. 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![environment_eq4](environment_eq4.png) the angles subtended by each pixel -- as determined by the resolution of the texture). Thus, the flux through a pixel is proportional to ![environment_eq5](environment_eq5.png). (We only care about the relative flux through each pixel to create a distribution.) + +**Summing the fluxes for all pixels, then normalizing the values so that they sum to one, yields a discrete probability distribution for picking a pixel based on flux through its corresponding solid angle on the sphere.** + +The question is now how to sample from this 2D discrete probability distribution. We recommend the following process which reduces the problem to drawing samples from two 1D distributions, each time using the inversion method discussed in class: + +* Given ![environment_eq6](environment_eq6.png) the probability distribution for all pixels, compute the marginal probability distribution ![environment_eq7](environment_eq7.png) for selecting a value from each row of pixels. + +* Given for any pixel, compute the conditional probability ![environment_eq8](environment_eq8.png). + +Given the marginal distribution for ![environment_eq9](environment_eq9.png) and the conditional distributions ![environment_eq10](environment_eq10.png) for environment map rows, it is easy to select a pixel as follows: + +1. Use the inversion method to first select a "row" of the environment map according to ![environment_eq11](environment_eq11.png). +2. Given this row, use the inversion method to select a pixel in the row according to ![environment_eq12](environment_eq12.png). \ No newline at end of file diff --git a/docs/pathtracer/intersecting_objects.md b/docs/pathtracer/intersecting_objects.md new file mode 100644 index 0000000..83b55e0 --- /dev/null +++ b/docs/pathtracer/intersecting_objects.md @@ -0,0 +1,53 @@ +--- +layout: default +title: "(Task 2) Intersecting Objects" +permalink: /pathtracer/intersecting_objects +--- + +# (Task 2) Intersecting Objects + +Now that your ray tracer generates camera rays, we need to be able to answer the core query in ray tracing: "does this ray hit this object?" Here, you will start by implementing ray-object intersection routines against the two types of objects in the starter code: triangles and spheres. Later, we will use a BVH to accelerate these queries, but for now we consider an intersection test against a single object. + +The `Object` interface is implemented by both the `Triangle` class and `Sphere` class. You can find the definition for `Object`, `Triangle` and `Sphere` in `rays/object.h`, `src/rays/shapes.h`, and `rays/tri_mesh.h`, respectively. + +The `hit` routine that you need to implement (for both kinds of objects) takes in a ray, and returns a `Trace` structure, which contains information on whether the ray hits the object and if hits, the information describing the surface at the point of the hit. See `rays/trace.h` for the definition of `Trace`. + +In order to correctly implement `hit` you need to understand some of the fields in the Ray structure defined in `lib/ray.h`. + +* `point`: represents the 3D point of origin of the ray +* `dir`: represents the 3D direction of the ray (this direction will be normalized) +* `time_bound`: correspond to the minimum and maximum points on the ray with its x-component as the lower bound and y-component as the upper bound. That is, intersections that lie outside the [`ray.time_bound.x`, `ray.time_bound.y`] range should not be considered valid intersections with the primitive. + +One important detail of the Ray structure is that `time_bound` is a mutable field of the Ray. This means that this fields can be modified by constant member functions such as `Triangle::hit`. When finding the first intersection of a ray and the scene, you almost certainly want to update the ray's `time_bound` value after finding each hit with scene geometry. By bounding the ray as tightly as possible, your ray tracer will be able to avoid unnecessary tests with scene geometry that is known to not be able to result in a closest hit, resulting in higher performance. + +--- + +### **Step 1: Intersecting Triangles** + +The first intersect routine that the `hit` routines for the triangle mesh in `student/tri_mesh.cpp`. + +While faster implementations are possible, we recommend you implement ray-triangle intersection using the method described in the [lecture slides](http://15462.courses.cs.cmu.edu/fall2017/lecture/acceleratingqueries). Further details of implementing this method efficiently are given in [these notes](ray_triangle_intersection.md). + +There are two important details you should be aware of about intersection: + +* When finding the first-hit intersection with a triangle, you need to fill in the `Trace` structure with details of the hit. The structure should be initialized with: + + * `hit`: a boolean representing if there is a hit or not + * `time`: the ray's _t_-value of the hit point + * `position`: the exact position of the hit point. This can be easily computed by the `time` above as with the ray's `point` and `dir`. + * `normal`: the normal of the surface at the hit point. This normal should be the interpolated normal (obtained via interpolation of the per-vertex normals according to the barycentric coordinates of the hit point) + +* When intersection occurs with the back-face of a triangle (the side of the triangle opposite the direction of the normal) you should flip the returned normal to point in that direction. That is, always return a normal pointing in the direction the ray came from! + +Once you've successfully implemented triangle intersection, you will be able to render many of the scenes in the media directory. However, your ray tracer will be very slow! + +While you are working with `student/tri_mesh.cpp`, you should implement `Triangle::bbox` as well, which are important for task 3. + + +### **Step 2: Intersecting Spheres** + +You also need to implement the `hit` routines for the `Sphere` class in `student/sphapes.cpp`. Remember that your intersection tests should respect the ray's `time_bound`. Because spheres always represent closed surfaces, you should not flip back-facing normals you did with triangles. + +--- + +[Visualization of normals](visualization_of_normals.md) might be very helpful with debugging. diff --git a/docs/pathtracer/materials.md b/docs/pathtracer/materials.md new file mode 100644 index 0000000..5aa3e1b --- /dev/null +++ b/docs/pathtracer/materials.md @@ -0,0 +1,41 @@ +--- +layout: default +title: "(Task 6) Materials" +permalink: /pathtracer/materials +--- + +# (Task 6) Materials + +Now that you have implemented the ability to sample more complex light paths, it's finally time to add support for more types of materials (other than the fully Lambertian material that you have implemented in Task 5). In this task you will add support for two types of materials: a perfect mirror and glass (a material featuring both specular reflection and transmittance) in `student/bsdf.cpp`. + +To get started take a look at the BSDF interface in `rays/bsdf.h`. There are a number of key methods you should understand in `BSDF class`: + +* `Spectrum evaluate(Vec3 out_dir, Vec3 in_dir)`: evaluates the distribution function for a given pair of directions. +* `BSDF_Sample sample(Vec3 out_dir)`: given the `out_dir`, generates a random sample of the in-direction (which may be a reflection direction or a refracted transmitted light direction). It returns a `BSDF_Sample`, which contains the in-direction(`direction`), its probability (`pdf`), as well as the `absorbtion` for this pair of directions. (You do not need to worry about the `emissive` for the materials that we are asking you to implement, since those materials do not emit light.) + +There are also two helper functions in the BSDF class in `student/bsdf.cpp` that you will need to implement: + +* `Vec3 reflect(Vec3 dir)` returns a direction that is the **perfect specular reflection** direction corresponding to `dir` (reflection of `dir` about the normal, which in the surface coordinate space is [0,1,0]). More detail about specular reflection is [here](http://15462.courses.cs.cmu.edu/fall2015/lecture/reflection/slide_028). + +* `Vec3 refract(Vec3 out_dir, float index_of_refraction, bool& was_internal)` returns the ray that results from refracting the ray in `out_dir` about the surface according to [Snell's Law](http://15462.courses.cs.cmu.edu/fall2015/lecture/reflection/slide_032). The surface's index of refraction is given by the argument `index_of_refraction`. Your implementation should assume that if the ray in `out_dir` **is entering the surface** (that is, if `cos(out_dir, N=[0,1,0]) > 0`) then the ray is currently in vacuum (index of refraction = 1.0). If `cos(out_dir, N=[0,1,0]) < 0` then your code should assume the ray is leaving the surface and entering vacuum. **In the case of total internal reflection, you should set `*was_internal` to `true`.** + +* Note that in `reflect` and `refract`, both the `out_dir` and the returned in-direction are pointing away from the intersection point of the ray and the surface, as illustrated in this picture below. +![rays_dir](rays_dir.png) + +## Step 1 + +Implement the class `BSDF_Mirror` which represents a material with perfect specular reflection (a perfect mirror). You should Implement `BSDF_Mirror::sample`, `BSDF_Mirror::evaluate`, and `reflect`. **(Hint: what should the pdf sampled by `BSDF_Mirror::sample` be? What should the reflectance function `BSDF_Mirror::evalute` be?)** + +## Step 2 + +Implement the class `BSDF_Glass` which is a glass-like material that both reflects light and transmit light. As discussed in class the fraction of light that is reflected and transmitted through glass is given by the dielectric Fresnel equations, which are [documented in detail here](dielectrics_and_transmission.md). Specifically your implementation should: + +* Implement `refract` to add support for refracted ray paths. +* Implement `BSDF_refract::sample` as well as `BSDF_Glass::sample`. Your implementation should use the Fresnel equations to compute the fraction of reflected light and the fraction of transmitted light. The returned ray sample should be either a reflection ray or a refracted ray, with the probability of which type of ray to use for the current path proportional to the Fresnel reflectance. (e.g., If the Fresnel reflectance is 0.9, then you should generate a reflection ray 90% of the time. What should the pdf be in this case?) Note that you can also use [Schlick's approximation](https://en.wikipedia.org/wiki/Schlick's_approximation) instead. +* You should read the [provided notes](dielectrics_and_transmission.md) on the Fresnel equations as well as on how to compute a transmittance BSDF. +When you are done, you will be able to render images like these: + +When you are done, you will be able to render images like these: + +![cornell_classic](cornell_classic.png) + diff --git a/docs/pathtracer/normalviz.png b/docs/pathtracer/normalviz.png new file mode 100644 index 0000000000000000000000000000000000000000..4c2af8f11bcfa25aefd4e65b0f17b578a017c321 GIT binary patch literal 546759 zcmeEt2UC+>*Y2GJ5^6xI(u>lhDN64}P^zFJA`rS1A=J2@>6qS!v7qW8v5D*;KKs|=uiOoO?V4UnB*Y}06!4` zAe{mLjL3|d`?7=&pcb0ysuzC;>EpvG!Z(4ts!9*MCf24=DRd(f8yA}&KIqV1cJ1Q` zCgJ0FiGCl!r=b@d%$4)bLRm@aK~KcH9PpidYxxIGp#%_VO>WLgjYFVMnpuMDqOFRnhI{$al298v)-t- zMy6AVigyk-fU9^PSd0@Eq5u2f@d{F6ubFJd0=+*;0VA3|j$DLsK{GOUD3dXpI&*Pi 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b/docs/pathtracer/shadow_rays.md new file mode 100644 index 0000000..7854064 --- /dev/null +++ b/docs/pathtracer/shadow_rays.md @@ -0,0 +1,32 @@ +--- +layout: default +title: "(Task 4) Shadow Rays" +permalink: /pathtracer/shadow_rays +--- + +# (Task 4) Shadow Rays + +In this task you will modify `Pathtracer::trace_ray` to implement accurate shadows. + +Currently `Pathtracer::trace_ray` computes the following: + +* It computes the intersection of ray `r` with the scene. +* It computes the amount of light arriving at the hit point `result.position` (the irradiance at the hit point) by integrating radiance from all scene light sources. +* It computes the radiance reflected from the hit point in the direction of -`r`. (The amount of reflected light is based on the BSDF of the surface at the hit point.) + +Shadows occur when another scene object blocks light emitted from scene light sources towards the hit point. Fortunately, determining whether or not a ray of light from a light source to the hit point is occluded by another object is easy given a working ray tracer (which you have at this point!). **You simply want to know whether a ray originating from the hit point (`result.position`), and traveling towards the light source (direction to light) hits any scene geometry before reaching the light.** (Note that you need to consider light's distance from the hit point is given, more on this in the notes below.) + +Your job is to implement the logic needed to compute whether hit point is in shadow with respect to the current light source sample. Below are a few notes: + +* In the starter code, when we call `light.sample(result.position)`, it returns us a `Light_sample sample` at the hit point . (You might want to take a look at `rays/light.h` for the definition of `struct Light_sample` and `class light`.) A `Light_sample` contains fields `radiance`, `pdf`, `direction`, and `distance`. In particular, `sample.direction` is the direction from the hit point to the light source, and `sample.distance` is the distance from the hit point to the light source. + +* A common ray tracing pitfall is for the "shadow ray" shot into the scene to accidentally hit the same objecr as `r` (the surface is erroneously determined to be occluded because the shadow ray is determined to hit the surface!). We recommend that you make sure the origin of the shadow ray is offset from the surface to avoid these erroneous "self-intersections". For example, consider setting the origin of the shadow ray to be `result.position + epsilon * sample.direction` instead of simply `result.position`. `EPS_F` is defined in for this purpose(see `lib/mathlib.h`). + +* Another common pitfall is forgetting that it doesn't matter if the shadow ray hits any scene geometry after reaching the light. Note that the light's distance from the hit point is given by `sample.distance`. Also note that `Ray` has a member called `time_bound`... +* You will find it useful to debug your shadow code using the `DirectionalLight` since it produces hard shadows that are easy to reason about. +* You would want to comment out the line `Spectrum radiance_out = Spectrum(0.5f);` and initialize the `radiance_out` to a more reasonable value. Hint: is there supposed to have any amount of light before we even start considering each light sample? + +At this point you should be able to render very striking images. For example, here is the Stanford Dragon model rendered with both a directional light (light coming from a single direction only) and a hemispherical light (light coming from all directions). Notice how both have realistic shadows in response to the the lighting conditions. + +![shadow_directional](shadow_directional.png) +![shadow_hemisphere](shadow_hemisphere.png) \ No newline at end of file diff --git a/docs/pathtracer/spheres.png b/docs/pathtracer/spheres.png new file mode 100644 index 0000000000000000000000000000000000000000..4b2b45e0c8c1086fcf80dd0d79f370b415549a2b GIT binary patch literal 1858754 zcmeFa2UJtrw(!3}kO(MI>7WEfMWh4>5IO__L3-~HAV82Fq)Km!ASz9|fT2ng=^X@A znutj6LIeb)OAB8-=U&da=id7s-?;A^Z;b!n3^9|n=bUTL-TKw>gI0FbMqWn|RUY#d!3 zF*c4)5Cs_-h?9$>71|C303O3Bn$}vH^R(jI;~R+E_x)pTJ8IB?AR35={?t#dacvPKYP+%0}}0e{L|#Kp6dLG5qaroM1X1(35j0bo$6B`fCOG7<2@S4`~2 zrAD%PfXJhd0t7TFCpAKu!w#ty5D7*^{=r0zu20~%LH^W$l-DCf79b@@VHeuNSLlBoUnXWGPMfPq5x*ODjNMdB76nC>{0s~(FjB0Yd69Aq+p&>-Oe&Er4 zrm(wP@KO00Q?7-ElZThg&1dklJ^4;j05Ik1+l%MqDP{B*J?U?c&$zNoVq-$_{OgST!rZPY!m+wm3K-`vMX8X(pU3o^_iE0-KN^N4V4LC(2 z{T6f{$vS+W$UI!{@*@ykLdXx+rduTE9TMMED&Uq@@qNC)}OUnE<#$uh9Cu$ySTJ)5-lbj2XZ9FAN 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mov%%R*|~8Zhs(ps|K;zPc&rM46)^pUXO@geCwkIGk+& literal 0 HcmV?d00001 diff --git a/docs/pathtracer/visualization_of_normals.md b/docs/pathtracer/visualization_of_normals.md new file mode 100644 index 0000000..660d717 --- /dev/null +++ b/docs/pathtracer/visualization_of_normals.md @@ -0,0 +1,20 @@ +--- +layout: default +title: "Visualization of normals" +permalink: /pathtracer/visualization_of_normals +--- + +# Visualization of normals + +For debugging purposes: + +You can replace the `radiance_out = Spectrum(5.f)` in `student/pathtracer.cpp` that the starter code gives you with: + +``` +(result.n).normalize(); +return Spectrum(result.normal.n.x/2.0 + 0.5, result.normal.y/2.0 + 0.5, result.normal.z/2.0 + 0.5); +``` + +Reference results for CBspheres, bunny, dragon, and wall-e: + +![normalviz](normalviz.png) \ No newline at end of file -- GitLab

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