A VARIATIONAL EXPECTATION-MAXIMIZATION METHOD FOR THE INVERSE BLACK BODY RADIATION PROBLEM

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. N...

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Bibliographic Details
Published inJournal of computational mathematics Vol. 26; no. 6; pp. 876 - 890
Main Authors Cheng, Jiantao, Zhou, Tie
Format Journal Article
LanguageEnglish
Published Chinese Academy of Mathematices and System Sciences (AMSS) Chinese Academy of Sciences 01.11.2008
Subjects
Black body radiation
Conjugate gradient method
Differential equations
Gaussian distributions
Iterative methods
Mathematical integrals
Noise control
Noise temperature
Simpsons rule
Temperature distribution
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Summary: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:0254-9409
1991-7139