Hierarchical Monte Carlo image synthesis

Alexander Keller

Mathematics and Computers in Simulation (MATCOM), 2001, vol. 55, issue 1, 79-92

Abstract: A fundamental variance reduction technique for Monte Carlo integration in the framework of integro-approximation problems is presented. Using the method of dependent tests a successive hierarchical function approximation algorithm is developed, which captures discontinuities and exploits smoothness in the target function. The general mathematical scheme and its highly efficient implementation are illustrated for image generation by ray tracing, yielding new and much faster image synthesis algorithms.

Keywords: Image synthesis; Integro-approximation; Monte Carlo integration; Quasi-Monte Carlo integration (search for similar items in EconPapers)
Date: 2001
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:55:y:2001:i:1:p:79-92

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