Computer Graphics

  1. Advanced Rendering Techniques
    1. Global Illumination Theory
      1. Rendering Equation
        1. Light Transport Theory
          1. Bidirectional Reflectance Distribution Function
            1. Energy Conservation
            2. Monte Carlo Methods
              1. Random Sampling
                1. Importance Sampling
                  1. Variance Reduction
                2. Ray Tracing
                  1. Ray Tracing Fundamentals
                    1. Ray Definition
                      1. Ray-Object Intersection
                        1. Ray Generation
                        2. Ray-Object Intersection
                          1. Ray-Sphere Intersection
                            1. Ray-Triangle Intersection
                              1. Ray-Plane Intersection
                                1. Acceleration Structures
                                  1. Bounding Volume Hierarchies
                                    1. Spatial Subdivision
                                      1. Kd-Trees
                                        1. Octrees
                                      2. Recursive Ray Tracing
                                        1. Reflection Rays
                                          1. Refraction Rays
                                            1. Shadow Rays
                                              1. Recursive Depth Limits
                                              2. Distributed Ray Tracing
                                                1. Soft Shadows
                                                  1. Motion Blur
                                                    1. Depth of Field
                                                      1. Glossy Reflections
                                                    2. Path Tracing
                                                      1. Monte Carlo Path Tracing
                                                        1. Random Walk Simulation
                                                          1. Russian Roulette
                                                            1. Next Event Estimation
                                                            2. Bidirectional Path Tracing
                                                              1. Light Path Construction
                                                                1. Eye Path Construction
                                                                  1. Path Connection
                                                                  2. Metropolis Light Transport
                                                                    1. Markov Chain Monte Carlo
                                                                      1. Mutation Strategies
                                                                    2. Radiosity
                                                                      1. Radiosity Theory
                                                                        1. Form Factor Calculation
                                                                          1. Energy Balance Equations
                                                                            1. Diffuse Interreflection
                                                                            2. Progressive Radiosity
                                                                              1. Shooting Method
                                                                                1. Gathering Method
                                                                                  1. Hierarchical Radiosity
                                                                                2. Photon Mapping
                                                                                  1. Photon Emission
                                                                                    1. Light Source Sampling
                                                                                      1. Photon Scattering
                                                                                      2. Photon Storage
                                                                                        1. Photon Maps
                                                                                          1. Kd-Tree Storage
                                                                                          2. Density Estimation
                                                                                            1. Nearest Neighbor Search
                                                                                              1. Kernel Density Estimation
                                                                                            2. Real-Time Global Illumination
                                                                                              1. Light Propagation Volumes
                                                                                                1. Voxel Cone Tracing
                                                                                                  1. Screen Space Global Illumination
                                                                                                    1. Reflective Shadow Maps

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                                                                                                  7. Rasterization and Visibility

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                                                                                                  9. Real-Time Rendering and Graphics APIs