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Virtual Journal for Biomedical Optics

Virtual Journal for Biomedical Optics


  • Editor: Gregory W. Faris
  • Vol. 4, Iss. 2 — Feb. 10, 2009

Galerkin-based meshless methods for photon transport in the biological tissue

Chenghu Qin, Jie Tian, Xin Yang, Kai Liu, Guorui Yan, Jinchao Feng, Yujie Lv, and Min Xu  »View Author Affiliations

Optics Express, Vol. 16, Issue 25, pp. 20317-20333 (2008)

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As an important small animal imaging technique, optical imaging has attracted increasing attention in recent years. However, the photon propagation process is extremely complicated for highly scattering property of the biological tissue. Furthermore, the light transport simulation in tissue has a significant influence on inverse source reconstruction. In this contribution, we present two Galerkin-based meshless methods (GBMM) to determine the light exitance on the surface of the diffusive tissue. The two methods are both based on moving least squares (MLS) approximation which requires only a series of nodes in the region of interest, so complicated meshing task can be avoided compared with the finite element method (FEM). Moreover, MLS shape functions are further modified to satisfy the delta function property in one method, which can simplify the processing of boundary conditions in comparison with the other. Finally, the performance of the proposed methods is demonstrated with numerical and physical phantom experiments.

© 2008 Optical Society of America

OCIS Codes
(170.3660) Medical optics and biotechnology : Light propagation in tissues
(170.3880) Medical optics and biotechnology : Medical and biological imaging
(170.5280) Medical optics and biotechnology : Photon migration

ToC Category:
Medical Optics and Biotechnology

Original Manuscript: September 29, 2008
Revised Manuscript: November 3, 2008
Manuscript Accepted: November 11, 2008
Published: November 24, 2008

Virtual Issues
Vol. 4, Iss. 2 Virtual Journal for Biomedical Optics

Chenghu Qin, Jie Tian, Xin Yang, Kai Liu, Guorui Yan, Jinchao Feng, Yujie Lv, and Min Xu, "Galerkin-based meshless methods for photon transport in the biological tissue," Opt. Express 16, 20317-20333 (2008)

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