中国物理B ›› 1999, Vol. 8 ›› Issue (12): 938-943.doi: 10.1088/1004-423X/8/12/010

• • 上一篇    

TOMOGRAPHY FORMULA FOR BIOCHEMICAL IMAGING OF THIN TISSUE WITH DIFFUSE-PHOTON DENSITY WAVES

KAORU SAKATANI1, 董光炯2, 韩汝珊2, 黄畇2, 庄逢源3   

  1. (1)Department of Neurosurgery, Institute of Clinic, China-Japan Friendship Hospital, Beijing 100029, China; (2)Department of Physics, Beijing University, Beijing 100871, China; (3)Hemorheology Department, Institute of Clinic, China-Japan Friendship Hospital, Beijing 100029, China
  • 收稿日期:1999-07-05 出版日期:1999-12-15 发布日期:2005-06-29
  • 基金资助:
    Project supported by the National Natural Science Foundation of China(Grant No.19774127).

TOMOGRAPHY FORMULA FOR BIOCHEMICAL IMAGING OF THIN TISSUE WITH DIFFUSE-PHOTON DENSITY WAVES

DONG GUANG-JIONG (董光炯)a, HAN RU-SHAN (韩汝珊)a, HUANG YUN (黄畇)a, KAORU SAKATANIb, ZHUANG FENG-YUAN (庄逢源)b   

  1. a Department of Physics, Beijing University, Beijing 100871, China; 
    b Department of Neurosurgery, Institute of Clinic, China-Japan Friendship Hospital, Beijing 100029, China; 
    c Hemorheology Department, Institute of Clinic, China-Japan Friendship Hospital, Beijing 100029, China
  • Received:1999-07-05 Online:1999-12-15 Published:2005-06-29
  • Supported by:
    Project supported by the National Natural Science Foundation of China(Grant No.19774127).

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摘要： Using the transport theory to describe the near infrared light propagating in tissue with finite parallel-plane geometry, and taking the zero-boundary condition, we obtain the analytical expression of average photon density and Green's function incorporating the boundary effects in the homogeneous tissure. Making use of perturbation theory we also obtain the analytical expression of scattered wave induced by the heterogeneity, and present the 2-dimensional spatial transform of scattered wave with respect to transverse coordinate. If the information of heterogeneity on depth and thickness is available, diffraction tomography formula is presented to save the time of image reconstruction; if the information is unknown, we suggest to obtain the inhomogeneous function from the one-dimensional integral equation of 2-dimensional spatial transform of scattered wave applying the direct matrix method or iterative method for image reconstruction. This approach avoids directly solving three-dimensional integral equation of scattered wave. In our proposed approach the strong points of the direct matrix method, iterative method, and diffraction tomography are fully combined.

Abstract: Using the transport theory to describe the near infrared light propagating in tissue with finite parallel-plane geometry, and taking the zero-boundary condition, we obtain the analytical expression of average photon density and Green's function incorporating the boundary effects in the homogeneous tissure. Making use of perturbation theory we also obtain the analytical expression of scattered wave induced by the heterogeneity, and present the 2-dimensional spatial transform of scattered wave with respect to transverse coordinate. If the information of heterogeneity on depth and thickness is available, diffraction tomography formula is presented to save the time of image reconstruction; if the information is unknown, we suggest to obtain the inhomogeneous function from the one-dimensional integral equation of 2-dimensional spatial transform of scattered wave applying the direct matrix method or iterative method for image reconstruction. This approach avoids directly solving three-dimensional integral equation of scattered wave. In our proposed approach the strong points of the direct matrix method, iterative method, and diffraction tomography are fully combined.

中图分类号: 

  • 87.50.W-
87.57.N- (Image analysis) 87.85.Lf (Tissue engineering)