Analysis of the Quasi-Monte Carlo Integration of the Rendering Equation

摘要: Quasi-Monte Carlo integration is said to be better than Monte-Carlo since its error bound can in the order of instead probabilistic classical if integrand has finite variation. However, computer graphics rendering equation usually discontinuous and thus infinite variation, superiority quasi-Monte not been theoretically justified. This paper examines functions using both theoretical arguments simulations explains what kind improvements expected from techniques graphics.