• Chinese Optics Letters
  • Vol. 14, Issue 7, 071701 (2016)
Shenghan Ren, Xueli Chen, Xu Cao, Shouping Zhu, and Jimin Liang*
Author Affiliations
  • Engineering Research Center of Molecular and Neuro Imaging of Ministry of Education & School of Life Science and Technology, Xidian University, Xi’an 710071, China
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    DOI: 10.3788/COL201614.071701 Cite this Article Set citation alerts
    Shenghan Ren, Xueli Chen, Xu Cao, Shouping Zhu, Jimin Liang. GPU accelerated simplified harmonic spherical approximation equations for three-dimensional optical imaging[J]. Chinese Optics Letters, 2016, 14(7): 071701 Copy Citation Text show less

    Abstract

    Simplified spherical harmonics approximation (SPN) equations are widely used in modeling light propagation in biological tissues. However, with the increase of order N, its computational burden will severely aggravate. We propose a graphics processing unit (GPU) accelerated framework for SPN equations. Compared with the conventional central processing unit implementation, an increased performance of the GPU framework is obtained with an increase in mesh size, with the best speed-up ratio of 25 among the studied cases. The influence of thread distribution on the performance of the GPU framework is also investigated.
    {·ζi,φiφi+j=1(N+1)/2ζi,φjφj=ζi,SSij=1(N+1)/2ζi,φjbv·φj=j=1(N+1)/2ζi,φjbφji[1,(N+1)/2],(1)

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    φi(r)=k=1Nδφi,kvk(r),(2)

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    Si(r)=k=1NδSi,kvk(r),(3)

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    [M1φ1M1φ(N+1)/2M(N+1)/2φ1M(N+1)/2φ(N+1)/2][φ1φ(N+1)/2]=[b1φ1b(N+1)/2φ(N+1)/2][S1S(N+1)/2],(4)

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    Miφj={δ{ζi,φivk·vl+ζi,φivkvl}drδζi,φifv·φi(vk)vldrifi=jδζi,φivkvldrδζi,φifv·φi(vk)vldrifij,(5)

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    biφj=δζi,Svkvldr,(6)

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    J=j=1(N+1)/2(βj,φjbv·φj+βj,φjbφj)j[1,(N+1)/2],(7)

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    ARE=1Ndi=1Ndabs(dmcidSPni)/max(dmci),(8)

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    Shenghan Ren, Xueli Chen, Xu Cao, Shouping Zhu, Jimin Liang. GPU accelerated simplified harmonic spherical approximation equations for three-dimensional optical imaging[J]. Chinese Optics Letters, 2016, 14(7): 071701
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