Accurate Computation of the Radiosity Gradient for Constant and Linear Emitters

Abstract

Controlling the error incurred in a radiosity calculation is one of the most challenging issues remaining in global illumination research. In this paper we propose a new method to compute the value and the gradient of the radiosity function at any point of a receiver, with arbitrary precision. The knowledge of the gradient provides fundamental informations on the radiosity function and its behaviour. It can specially be used to control the consistency of the discretisation assumptions.