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Volume 29, Issue 1
Local Convergence of an EM-Like Image Reconstruction Method for Diffuse Optical Tomography

Caifang Wang & Tie Zhou

DOI: 10.4208/jcm.1006-m3182

J. Comp. Math., 29 (2011), pp. 61-73.

Published online: 2011-02

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  • Abstract

In this paper, an EM-like image reconstruction iterative formula specifically developed for stable external sources is rewritten as a map towards a fixed point iteration. Local convergence of the image reconstruction method is then proved. Finally a three-dimensional numerical image reconstruction example is presented.

  • Keywords

Diffuse optical tomography, Image reconstruction, Fixed-point iteration, Local convergence.

  • AMS Subject Headings

78A70, 78M50, 93B15.

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JCM-29-61, author = {Caifang Wang and Tie Zhou}, title = {Local Convergence of an EM-Like Image Reconstruction Method for Diffuse Optical Tomography}, journal = {Journal of Computational Mathematics}, year = {2011}, volume = {29}, number = {1}, pages = {61--73}, abstract = {

In this paper, an EM-like image reconstruction iterative formula specifically developed for stable external sources is rewritten as a map towards a fixed point iteration. Local convergence of the image reconstruction method is then proved. Finally a three-dimensional numerical image reconstruction example is presented.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.1006-m3182}, url = {http://global-sci.org/intro/article_detail/jcm/8464.html} }
TY - JOUR T1 - Local Convergence of an EM-Like Image Reconstruction Method for Diffuse Optical Tomography AU - Caifang Wang & Tie Zhou JO - Journal of Computational Mathematics VL - 1 SP - 61 EP - 73 PY - 2011 DA - 2011/02 SN - 29 DO - http://doi.org/10.4208/jcm.1006-m3182 UR - https://global-sci.org/intro/article_detail/jcm/8464.html KW - Diffuse optical tomography, Image reconstruction, Fixed-point iteration, Local convergence. AB -

In this paper, an EM-like image reconstruction iterative formula specifically developed for stable external sources is rewritten as a map towards a fixed point iteration. Local convergence of the image reconstruction method is then proved. Finally a three-dimensional numerical image reconstruction example is presented.

Caifang Wang and Tie Zhou. (2011). Local Convergence of an EM-Like Image Reconstruction Method for Diffuse Optical Tomography. Journal of Computational Mathematics. 29 (1). 61-73. doi:10.4208/jcm.1006-m3182
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