Ray Tracing The Next Week

Ray Tracing in One Weekend

1 Overview
2 Output an Image
- 2.1 The PPM Image Format
- 2.2 Creating an Image File
- 2.3 Adding a Progress Indicator
3 The vec3 Class
- 3.1 Color Utility Functions
4 Rays, a Simple Camera, and Background
- 4.1 The ray Class
- 4.2 Sending Rays Into the Scene
5 Adding a Sphere
- 5.1 Ray-Sphere Intersection
- 5.2 Creating Our First Raytraced Image
6 Surface Normals and Multiple Objects
- 6.1 Shading with Surface Normals
- 6.2 Simplifying the Ray-Sphere Intersection Code
- 6.3 An Abstraction for Hittable Objects
- 6.4 Front Faces Versus Back Faces
- 6.5 A List of Hittable Objects
- 6.6 Some New C++ Features
- 6.7 Common Constants and Utility Functions
- 6.8 An Interval Class
7 Moving Camera Code Into Its Own Class
8 Antialiasing
- 8.1 Some Random Number Utilities
- 8.2 Generating Pixels with Multiple Samples
9 Diffuse Materials
- 9.1 A Simple Diffuse Material
- 9.2 Limiting the Number of Child Rays
- 9.3 Fixing Shadow Acne
- 9.4 True Lambertian Reflection
- 9.5 Using Gamma Correction for Accurate Color Intensity
10 Metal
- 10.1 An Abstract Class for Materials
- 10.2 A Data Structure to Describe Ray-Object Intersections
- 10.3 Modeling Light Scatter and Reflectance
- 10.4 Mirrored Light Reflection
- 10.5 A Scene with Metal Spheres
- 10.6 Fuzzy Reflection
11 Dielectrics
- 11.1 Refraction
- 11.2 Snell’s Law
- 11.3 Total Internal Reflection
- 11.4 Schlick Approximation
- 11.5 Modeling a Hollow Glass Sphere
12 Positionable Camera
- 12.1 Camera Viewing Geometry
- 12.2 Positioning and Orienting the Camera
13 Defocus Blur
- 13.1 A Thin Lens Approximation
- 13.2 Generating Sample Rays
14 Where Next?
- 14.1 A Final Render
- 14.2 Next Steps
15 Acknowledgments
16 Citing This Book
- 16.1 Basic Data
- 16.2 Snippets
  - 16.2.1 Markdown
  - 16.2.2 HTML
  - 16.2.3 LaTeX and BibTex
  - 16.2.4 BibLaTeX
  - 16.2.5 IEEE
  - 16.2.6 MLA:

Ray Tracing: The Next Week

1 Overview
2 Motion Blur
- 2.1 Introduction of SpaceTime Ray Tracing
- 2.2 Managing Time
- 2.3 Updating the Camera to Simulate Motion Blur
- 2.4 Adding Moving Spheres
- 2.5 Tracking the Time of Ray Intersection
- 2.6 Putting Everything Together
3 Bounding Volume Hierarchies
- 3.1 The Key Idea
- 3.2 Hierarchies of Bounding Volumes
- 3.3 Axis-Aligned Bounding Boxes (AABBs)
- 3.4 Ray Intersection with an AABB
- 3.5 An Optimized AABB Hit Method
- 3.6 Constructing Bounding Boxes for Hittables
- 3.7 Creating Bounding Boxes of Lists of Objects
- 3.8 The BVH Node Class
- 3.9 Splitting BVH Volumes
- 3.10 The Box Comparison Functions
4 Texture Mapping
- 4.1 Constant Color Texture
- 4.2 Solid Textures: A Checker Texture
- 4.3 Rendering The Solid Checker Texture
- 4.4 Texture Coordinates for Spheres
- 4.5 Accessing Texture Image Data
- 4.6 Rendering The Image Texture
5 Perlin Noise
- 5.1 Using Blocks of Random Numbers
- 5.2 Smoothing out the Result
- 5.3 Improvement with Hermitian Smoothing
- 5.4 Tweaking The Frequency
- 5.5 Using Random Vectors on the Lattice Points
- 5.6 Introducing Turbulence
- 5.7 Adjusting the Phase
6 Quadrilaterals
- 6.1 Defining the Quadrilateral
- 6.2 Ray-Plane Intersection
- 6.3 Finding the Plane That Contains a Given Quadrilateral
- 6.4 Orienting Points on The Plane
- 6.5 Interior Testing of The Intersection Using UV Coordinates
7 Lights
- 7.1 Emissive Materials
- 7.2 Adding Background Color to the Ray Color Function
- 7.3 Turning Objects into Lights
- 7.4 Creating an Empty “Cornell Box”
8 Instances
- 8.1 Instance Translation
- 8.2 Instance Rotation
9 Volumes
- 9.1 Constant Density Mediums
- 9.2 Rendering a Cornell Box with Smoke and Fog Boxes
10 A Scene Testing All New Features
11 Acknowledgments
12 Citing This Book
- 12.1 Basic Data
- 12.2 Snippets
  - 12.2.1 Markdown
  - 12.2.2 HTML
  - 12.2.3 LaTeX and BibTex
  - 12.2.4 BibLaTeX
  - 12.2.5 IEEE
  - 12.2.6 MLA:

Ray Tracing: The Rest of Your Life

1 Overview
2 A Simple Monte Carlo Program
- 2.1 Estimating Pi
- 2.2 Showing Convergence
- 2.3 Stratified Samples (Jittering)
3 One Dimensional Monte Carlo Integration
- 3.1 Expected Value
- 3.2 Integrating x²
- 3.3 Density Functions
- 3.4 Constructing a PDF
- 3.5 Choosing our Samples
- 3.6 Approximating Distributions
- 3.7 Importance Sampling
4 Monte Carlo Integration on the Sphere of Directions
5 Light Scattering
- 5.1 Albedo
- 5.2 Scattering
- 5.3 The Scattering PDF
6 Playing with Importance Sampling
- 6.1 Returning to the Cornell Box
- 6.2 Using a Uniform PDF Instead of a Perfect Match
- 6.3 Random Hemispherical Sampling
7 Generating Random Directions
- 7.1 Random Directions Relative to the Z Axis
- 7.2 Uniform Sampling a Hemisphere
- 7.3 Cosine Sampling a Hemisphere
8 Orthonormal Bases
- 8.1 Relative Coordinates
- 8.2 Generating an Orthonormal Basis
- 8.3 The ONB Class
9 Sampling Lights Directly
- 9.1 Getting the PDF of a Light
- 9.2 Light Sampling
- 9.3 Switching to Unidirectional Light
10 Mixture Densities
- 10.1 The PDF Class
- 10.2 Sampling Directions towards a Hittable
- 10.3 The Mixture PDF Class
11 Some Architectural Decisions
12 Cleaning Up PDF Management
- 12.1 Diffuse Versus Specular
- 12.2 Handling Specular
- 12.3 Sampling a Sphere Object
- 12.4 Updating the Sphere Code
- 12.5 Adding PDF Functions to Hittable Lists
- 12.6 Handling Surface Acne
13 The Rest of Your Life
14 Acknowledgments
15 Citing This Book
- 15.1 Basic Data
- 15.2 Snippets
  - 15.2.1 Markdown
  - 15.2.2 HTML
  - 15.2.3 LaTeX and BibTex
  - 15.2.4 BibLaTeX
  - 15.2.5 IEEE
  - 15.2.6 MLA:

Ray Tracing The Next Week

Contents