An Analysis of Quasi-Monte Carlo Integration Applied to the Transillumination Radiosity Method
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Date
1997
Journal Title
Journal ISSN
Volume Title
Publisher
Blackwell Publishers Ltd and the Eurographics Association
Abstract
This paper presents an enhanced transillumination radiosity method that can provide accurate solutions at relatively low computational cost. The proposed algorithm breaks down the double integral of the gathered power to an area integral that is computed analytically and to a directional integral that is evaluated by quasi-Monte Carlo techniques. Since the analytical integration results in a continuous function of finite variation, the quasi-Monte Carlo integration that follows the analytical integration will be efficient and its error can be bounded by the Koksma-Hlawka inequality. The paper also analyses the requirements of the convergence, presents theoretical error bounds and proposes error reduction techniques. The theoretical bounds are compared with simulation results.
Description
@article{10.1111:1467-8659.00164,
journal = {Computer Graphics Forum},
title = {{An Analysis of Quasi-Monte Carlo Integration Applied to the Transillumination Radiosity Method}},
author = {Szirmay-Kalos, Laszlo and Foris, Tibor and Neumann, Laszlo and Csebfalvi, Balazs},
year = {1997},
publisher = {Blackwell Publishers Ltd and the Eurographics Association},
ISSN = {1467-8659},
DOI = {10.1111/1467-8659.00164}
}