Fast linear solver for radiative transport equation with multiple right hand sides in diffuse optical tomography

Journal of Quantitative Spectroscopy & Radiative Transfer
Jingfei JiaAndreas H Hielscher

Abstract

It is well known that radiative transfer equation (RTE) provides more accurate tomographic results than its diffusion approximation (DA). However, RTE-based tomographic reconstruction codes have limited applicability in practice due to their high computational cost. In this article, we propose a new efficient method for solving the RTE forward problem with multiple light sources in an all-at-once manner instead of solving it for each source separately. To this end, we introduce here a novel linear solver called block biconjugate gradient stabilized method (block BiCGStab) that makes full use of the shared information between different right hand sides to accelerate solution convergence. Two parallelized block BiCGStab methods are proposed for additional acceleration under limited threads situation. We evaluate the performance of this algorithm with numerical simulation studies involving the Delta-Eddington approximation to the scattering phase function. The results show that the single threading block RTE solver proposed here reduces computation time by a factor of 1.5~3 as compared to the traditional sequential solution method and the parallel block solver by a factor of 1.5 as compared to the traditional parallel sequential m...Continue Reading

References

Mar 8, 2000·Proceedings of the National Academy of Sciences of the United States of America·V NtziachristosB Chance
Nov 1, 2003·Optics Letters·Joseph P CulverDavid A Boas
Dec 3, 2003·Disease Markers·A H HielscherJ Beuthan
May 7, 2004·Physics in Medicine and Biology·Andreas H HielscherJürgen Beuthan
Feb 22, 2005·Current Opinion in Biotechnology·Andreas H Hielscher
Mar 19, 2005·Physics in Medicine and Biology·A P GibsonS R Arridge
Jul 27, 2006·Technology in Cancer Research & Treatment·Gultekin GulsenOrhan Nalcioglu
Aug 3, 2011·Journal of Biomedical Optics·Molly L FlexmanAndreas H Hielscher
Oct 2, 2012·Biomedical Optics Express·Michael A KhalilAndreas H Hielscher
May 24, 2013·Journal of Biomedical Optics·Caigang Zhu, Quan Liu
Jul 17, 2013·Journal of Biomedical Optics·Ludguier D MontejoAndreas H Hielscher
Sep 21, 2013·Journal of Biomedical Optics·Molly L FlexmanAndreas H Hielscher

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