Radiosity and relaxation methods

Wavelet Methods for Radiosity

The computation of radiosity ( W m ), i.e. power per unit area, on a given surface is a widely used technique in computer graphics to solve for the illumination in an environment. Radiosity is governed by an integral equation which arises from a more general integral equation known as the rendering equation [18] when one assumes that all reflection occurs isotropically. Solving the underlying i...

Hybrid Radiosity/Monte Carlo Methods

Monte Carlo methods refer to any method that uses random numbers to get an approximate answer to a problem. In computer graphics Monte Carlo techniques can be used to perform radiosity calculations and can be used in distribution ray tracing for effects such as soft shadows and motion blur. Although these notes are for a course on radiosity, they have a great deal of material from a previous Si...

Overview of Perceptually-Driven Radiosity Methods

Iterative Methods For Fast Radiosity Solutions

In applications involving the radiosity method such as computer animation, time is a crucial factor. This report shows that iterative methods which converge in a smaller number of iterations do not necessarily solve the radiosity system of linear equations in a faster way. For high average re ectance environments is introduced a method that converges faster than any standard method presented in...

Wavelet Radiosity: Wavelet Methods for Integral Equations

In this chapter we will explain how wavelets can be used to solve integral equations. The example we use is an important integral equation in graphics, the radiosity equation. The radiosity equation governs the transport of light between surfaces under the assumption that all reflection occurs isotropically. The resulting integral equation is linear and can be analyzed as a linear operator. Sin...