Quasi-Monte Carlo Progressive Photon Mapping

Abstract

The simulation of light transport often involves specular and transmissive surfaces, which are modeled by functions that are not square integrable. However, in many practical cases unbiased Monte Carlo methods are not able to handle such functions efficiently and consistent Monte Carlo methods are applied. Based on quasi-Monte Carlo integration, a deterministic alternative to the stochastic approaches is introduced. The new method for deterministic consistent functional approximation uses deterministic consistent density estimation.

Parallel Quasi-Monte Carlo Integration by Partitioning Low Discrepancy Sequences

“…In the latter domain, a method for the parallel generation of phoAlexander Keller NVIDIA, e-mail: keller.alexander@googlemail.com Leonhard Grünschloß NVIDIA / Weta Digital, e-mail: leonhard@gruenschloss.org ton maps [1] has been introduced (see [8] for a solid introduction to photon mapping and [11] in this volume for a compact summary). Core of the method was a number theoretic argument similar to [12] that allowed for partitioning one Halton sequence into a number of sequences.…”

Efficient computations of scalable caustic rendering and reconstruction

“…By using 9 to 36 workstations, their implementation is able to reach up to six times speed improvement. Metropolis Sampling [34] or by using deterministic approach (quasi-Monte Carlo) [35].…”