Computation of higher order illumination with a non-deterministic approach
In spite of the number of efforts made by the computer graphics researchers, till today the computation of view-independent global illumination in an environment containing non-diffusely reflecting objects is a non-resolved problem. In general non-deterministic techniques seem to be capable of solving this problem. In this article we propose one such non-deterministic method which will permit such calculation by using a combined technique of higher order function approximation and particle tracing. We have used multi-wavelets as basis functions and have calculated the illumination function approximation coefficients; by exploiting the adjointness between the radiance equation and the potential equation.
particle tracing adjointness radiance equation potential equation monte carlo quadrature random walk weighted function approximation multiwavelet push/pull operation