**Szirmay-Kalos László, Fóris Tibor, Werner Purgathofer
Department of Process Control, Technical University of Budapest,
Budapest, Muegyetem rkp. 11, H-1111, HUNGARY
szirmay@fsz.bme.hu
**

**Abstract:**

This paper presents an efficient method to solve the general rendering equation, using a combined finite element and quasi-random walk approach. Applying point collocation method, the surfaces are decomposed into planar patches where the directional distribution of the radiance is assumed to be a linear combination of the distributions at the vertices. The direction dependent radiance function of the vertices is then computed by random or quasi-random walk.

**Keywords:**

Rendering equation, quasi-monte carlo quadrature, radiosity,
point-collocation method.