Dual-grid mesh-based Monte Carlo algorithm for efficient photon transport simulations in complex three-dimensional media

Journal of Biomedical Optics
Shijie YanQianqian Fang

Abstract

The mesh-based Monte Carlo (MMC) method is an efficient algorithm to model light propagation inside tissues with complex boundaries, but choosing appropriate mesh density can be challenging. A fine mesh improves the spatial resolution of the output but requires more computation. We propose an improved MMC-dual-grid mesh-based Monte Carlo (DMMC)-to accelerate photon simulations using a coarsely tessellated tetrahedral mesh for ray-tracing computation and an independent voxelated grid for output data storage. The decoupling between ray-tracing and data storage grids allows us to simultaneously achieve faster simulations and improved output spatial accuracy. Furthermore, we developed an optimized ray-tracing technique to eliminate unnecessary ray-tetrahedron intersection tests in optically thick mesh elements. We validate the proposed algorithms using a complex heterogeneous domain and compare the solutions with those from MMC and voxel-based Monte Carlo. We found that DMMC with an unrefined constrained Delaunay tessellation of the boundary nodes yielded the highest speedup, ranging from 1.3  ×   to 2.9  ×   for various scattering settings, with nearly no loss in accuracy. In addition, the optimized ray-tracing technique offers ex...Continue Reading

References

Jul 1, 1995·Computer Methods and Programs in Biomedicine·L WangL Zheng
Oct 17, 2007·Optics Express·Eduardo Margallo-Balbás, Patrick J French
Jan 22, 2010·Physics in Medicine and Biology·H Shen, G Wang
Dec 21, 2010·Biomedical Optics Express·Qianqian Fang
Jan 25, 2011·Biomedical Optics Express·Erik AlerstamLothar Lilge
Feb 18, 2011·Biomedical Optics Express·Haiou Shen, Ge Wang
Oct 13, 2011·Biomedical Optics Express·Alexander Doronin, Igor Meglinski
Dec 18, 2012·Biomedical Optics Express·Qianqian Fang, David R Kaeli
May 24, 2013·Journal of Biomedical Optics·Caigang Zhu, Quan Liu
May 28, 2014·Physics in Medicine and Biology·Yeon Soo YeomChan Hyeong Kim

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Software Mentioned

CUDAMCML
MMC
GPU
MOSE
Iso2Mesh
CL
TetGen
MCX
DMMC
Ubuntu Linux

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