A Variational Expectation-Maximization Method for the Inverse Black Body Radiation Problem

A Variational Expectation-Maximization Method for the Inverse Black Body Radiation Problem

Year:    2008

Journal of Computational Mathematics, Vol. 26 (2008), Iss. 6 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2008-JCM-8665

Journal of Computational Mathematics, Vol. 26 (2008), Iss. 6 : pp. 876–890

Published online:    2008-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    15

Keywords:    Inverse black body radiation problem Variational EM method.