Quasi Monte Carlo approach with uniform separation for solving of the rendering equation, ICNAAM 2007

Penzov, A.A., Dimov, I.T. and Stoilova, S.S. (2008) Quasi Monte Carlo approach with uniform separation for solving of the rendering equation, ICNAAM 2007. In: International Conference on Computational Methods in Science and Engineering, Corfu, Greece.

Abstract/Summary

This paper is directed to the advanced parallel Quasi Monte Carlo (QMC) methods for realistic image synthesis. We propose and consider a new QMC approach for solving the rendering equation with uniform separation. First, we apply the symmetry property for uniform separation of the hemispherical integration domain into 24 equal sub-domains of solid angles, subtended by orthogonal spherical triangles with fixed vertices and computable parameters. Uniform separation allows to apply parallel sampling scheme for numerical integration. Finally, we apply the stratified QMC integration method for solving the rendering equation. The superiority our QMC approach is proved.