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UBC Theses and Dissertations

Wavelet radiosity in computer graphics Ziegler, Philipp

Abstract

The thesis presents an overview of the recent development of radiosity methods in computer graphics in a uniform mathematical framework. The focus is on hierarchical methods using wavelets. The thesis experimentally analyzes the behavior of higher-order wavelet bases in hierarchical methods. The functions applied are multiwavelets and a family of wavelets proposed by Cohen, Daubechies and Vial. The latter wavelets have overlapping support. Generally, we find that higher-order wavelet bases save memory compared to Haar wavelets, while they require more time for the computation. Furthermore, we investigate how Krylov subspace methods can be employed to solve the discrete system of equations arising in hierarchical methods. We show that the Generalized Minimal Residual method (GMRES) is advantageous compared to the usually employed Picard iteration.

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