Volume 26, Issue 6
A Variational Expectation-Maximization Method for the Inverse Black Body Radiation Problem

Jiantao Cheng & Tie Zhou

DOI:

J. Comp. Math., 26 (2008), pp. 876-890.

Published online: 2008-12

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  • Abstract

The inverse black body radiation problem, which is to reconstruct the area temperature distribution from the measurement of power spectrum distribution, is a well-known ill-posed problem. In this paper, a variational expectation-maximization (EM) method is developed and its convergence is studied. Numerical experiments demonstrate that the variational EM method is more efficient and accurate than the traditional methods, including the Tikhonov regularization method, the Landweber method and the conjugate gradient method.

  • Keywords

Inverse black body radiation problem Variational EM method

  • AMS Subject Headings

45Q05 65L50.

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JCM-26-876, author = {}, title = {A Variational Expectation-Maximization Method for the Inverse Black Body Radiation Problem}, journal = {Journal of Computational Mathematics}, year = {2008}, volume = {26}, number = {6}, pages = {876--890}, abstract = { The inverse black body radiation problem, which is to reconstruct the area temperature distribution from the measurement of power spectrum distribution, is a well-known ill-posed problem. In this paper, a variational expectation-maximization (EM) method is developed and its convergence is studied. Numerical experiments demonstrate that the variational EM method is more efficient and accurate than the traditional methods, including the Tikhonov regularization method, the Landweber method and the conjugate gradient method.}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8665.html} }
TY - JOUR T1 - A Variational Expectation-Maximization Method for the Inverse Black Body Radiation Problem JO - Journal of Computational Mathematics VL - 6 SP - 876 EP - 890 PY - 2008 DA - 2008/12 SN - 26 DO - http://dor.org/ UR - https://global-sci.org/intro/jcm/8665.html KW - Inverse black body radiation problem KW - Variational EM method AB - The inverse black body radiation problem, which is to reconstruct the area temperature distribution from the measurement of power spectrum distribution, is a well-known ill-posed problem. In this paper, a variational expectation-maximization (EM) method is developed and its convergence is studied. Numerical experiments demonstrate that the variational EM method is more efficient and accurate than the traditional methods, including the Tikhonov regularization method, the Landweber method and the conjugate gradient method.
Jiantao Cheng & Tie Zhou. (2019). A Variational Expectation-Maximization Method for the Inverse Black Body Radiation Problem. Journal of Computational Mathematics. 26 (6). 876-890. doi:
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