Image reconstruction for optical tomography using photon density waves

被引:0
|
作者
Khalaf, R [1 ]
van der Zee, P [1 ]
Dixon, L [1 ]
Davies, A [1 ]
机构
[1] Univ Hertfordshire, Dept Phys Sci, Hatfield AL10 9AB, Herts, England
来源
PHOTON PROPAGATION IN TISSUES IV, PROCEEDINGS | 1998年 / 3566卷
关键词
tomography; diffusion approximation; frequency domain; reconstruction; least squares; truncated Newton;
D O I
10.1117/12.334372
中图分类号
R318 [生物医学工程];
学科分类号
0831 ;
摘要
The forward model in this work is based on the frequency-dependent Diffusion approximation. The Diffusion approximation is solved using the Finite Element Method with the Robin Boundary condition. The model is two dimensional, with a circular domain simulating the cross section of a limb. The meshes are generated with FIDAP, a computational fluid dynamics package. The Diffusion matrix is solved using Cholesky decomposition, and results on the boundary for a modulated source include AC and DC data for a given set of optical parameters. The reconstruction is treated as a non-linear optimisation problem without constraints. The algorithm is developed using the least squares method. The errors between the measured and finite element values at the boundary are minimised by using the Conjugate Gradient and Truncated Newton methods. Forward Analytic Differentiation is used to calculate gradients. Images are reconstructed in the frequency domain for both a scattering and an absorbing object.
引用
收藏
页码:211 / 221
页数:11
相关论文
共 50 条
  • [31] Symmetries, inversion formulas, and image reconstruction for optical tomography
    Markel, VA
    Schotland, JC
    PHYSICAL REVIEW E, 2004, 70 (05): : 19 - 1
  • [32] Numerical modelling and image reconstruction in diffuse optical tomography
    Dehghani, Hamid
    Srinivasan, Subhadra
    Pogue, Brian W.
    Gibson, Adam
    PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2009, 367 (1900): : 3073 - 3093
  • [33] Near-field diffraction tomography with diffuse photon density waves
    Li, Xingde
    Pattanayak, Deva N.
    Durduran, Turgut
    Culver, Joseph P.
    Chance, Britton
    Yodh, Arjun G.
    Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 2000, 61 (04): : 4295 - 4309
  • [34] Diffraction tomography for biochemical imaging with diffuse-photon density waves
    Li, XD
    Durduran, T
    Yodh, AG
    Chance, B
    Pattanayak, DN
    OPTICS LETTERS, 1997, 22 (08) : 573 - 575
  • [35] Near-field diffraction tomography with diffuse photon density waves
    Li, XD
    Pattanayak, DN
    Durduran, T
    Culver, JP
    Chance, B
    Yodh, AG
    PHYSICAL REVIEW E, 2000, 61 (04): : 4295 - 4309
  • [36] Image reconstruction in ultrasound-modulated optical tomography
    Li, J
    Wang, LHV
    PHOTONS PLUS ULTRASOUND: IMAGING AND SENSING, 2004, 5320 : 268 - 272
  • [37] Optical sensing with photon density waves:: Investigation of model media
    Reich, O
    Löhmannsröben, HG
    Schael, F
    PHYSICAL CHEMISTRY CHEMICAL PHYSICS, 2003, 5 (23) : 5182 - 5187
  • [38] Model-based iterative image reconstruction for photon migration tomography
    Hielscher, AH
    COMPUTATIONAL, EXPERIMENTAL, AND NUMERICAL METHODS FOR SOLVING ILL-POSED INVERSE IMAGING PROBLEMS: MEDICAL AND NONMEDICAL APPLICATIONS, 1997, 3171 : 106 - 117
  • [39] Characterization of Maximum Likelihood Solutions to Image Reconstruction in Photon Emission Tomography
    Chapeau-Blondeau, Francois
    Jeanguillaume, Christian
    JOURNAL OF MATHEMATICAL IMAGING AND VISION, 2014, 49 (02) : 467 - 480
  • [40] Characterization of Maximum Likelihood Solutions to Image Reconstruction in Photon Emission Tomography
    François Chapeau-Blondeau
    Christian Jeanguillaume
    Journal of Mathematical Imaging and Vision, 2014, 49 : 467 - 480