Error control for radiosity


Philippe Bekaert

Katholieke Universiteit Leuven

            

Yves Willems

Katholieke Universiteit Leuven



Contact: Computer Graphics Research Group

Proceedings of the 7th Eurographics Workshop on Rendering, p. 153-164
Porto, Portugal, 17-19 June 1996





Abstract

In this paper, we address the problem of computing the radiance in a diffuse environment up to an accuracy specified beforehand. We consider this problem in the context of wavelet radiosity, a hierarchical radiosity method with higher order radiance approximations. We first present an analysis of the discretisation error, which is the error introduced by projecting the problem onto a finite set of basis functions. This analysis leads to an algorithm for a-posteriori error estimation and a criterion and strategy for hierarchical refinement, generalising previous work for constant and bilinear approximations. We propose a new hierarchical radiosity algorithm in which a user controls the accuracy of the solution by specifying the maximum allowable absolute radiance error rather than an interaction error threshold.




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