Quasi-Monte Carlo methods: applications to modeling of light transport in tissue

Steven A. Schafer

doi:10.1117/12.239590

7 May 1996 Quasi-Monte Carlo methods: applications to modeling of light transport in tissue

Steven A. Schafer

Proceedings Volume 2681, Laser-Tissue Interaction VII; (1996) https://doi.org/10.1117/12.239590
Event: Photonics West '96, 1996, San Jose, CA, United States

Abstract

Monte Carlo modeling of light propagation can accurately predict the distribution of light in scattering materials. A drawback of Monte Carlo methods is that they converge inversely with the square root of the number of iterations. Theoretical considerations suggest that convergence which scales inversely with the first power of the number of iterations is possible. We have previously shown that one can obtain at least a portion of that improvement by using van der Corput sequences in place of a conventional pseudo-random number generator. Here, we present our further analysis, and show that quasi-Monte Carlo methods do have limited applicability to light scattering problems. We also discuss potential improvements which may increase the applicability.

Citation Download Citation

Steven A. Schafer "Quasi-Monte Carlo methods: applications to modeling of light transport in tissue", Proc. SPIE 2681, Laser-Tissue Interaction VII, (7 May 1996); https://doi.org/10.1117/12.239590

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