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

• 来源期刊: 计算数学(英文版)
• 关键词: Inverse black body radiation problem Variational EM method
• 年，卷（期）: 2008,（6）
• 页码范围: 876-890
• 页数: 15页
• 语种: 英文

摘要

The inverse black body radiation problem, which is to reconstruct the area tempera-ture 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, in-cluding the Tikhonov regularization method, the Landweber method and the conjugate gradient method.