This section serves as a summary of all the Physically-Based Rendering concepts.
Radiometry
Physics
Photon Energy: energy that moves along a ray, assuming no wave properties. It has position e, direction d, and wave length λ.
Radiant Energy: the total energy radiated by all the rays from any λ.
Spectral Energy: the total energy at a specific λ.
Flux: radiant energy a second.
Irradiance: arrival flux at unit area (per square meter).
Radiant Exitance: exitted flux at unit area.
Radiance: irradiance per solid angle.
Integrators
Solid Angle
Irradiance by Integral Over Spheric Surface
Irradiance by Integral Over Area
Properties
Lambert's Law
Radiance's Invariant Property Along A Ray
Probability
Monte Carlo Integration
To Be Integrated:
Estimator
p(x) is the sampling distribution function.
Sampling
Rejection Sampling
Random On Disk
Random In Unit Sphere
Random On Unit Sphere
Random On Unit Hemisphere By XY plane
Random On Unit Hemisphere By Any Plane
Importance Sampling
Direct Light
Ambient Light
MIS
Balance Heuristic
Power Heuristic
BSDF
BRDF
Phong
Blinn-Phong
, where
Diffuse
Torrance-Sparrow
, where
, and in Beckmann Distribution Model,
Oren-Nayar
, where
Stochastic Path Tracing
Algorithm
Russian Roulette
Next Event Estimation
Multiple Importance Sampling
Photon Mapping
Bidirectional Path Tracing
Volumetric Rendering
Procedures
Absorption
Emission
Outscattering
Inscattering
Comments