文章基本信息

标题：Data Fusion for Electromagnetic and Electrical Resistive Tomography Based on Maximum Likelihood
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作者：Sven Nordebo ; Mats Gustafsson ; Therese Sjöden 等
期刊名称：International Journal of Geophysics
印刷版ISSN：1687-885X
电子版ISSN：1687-8868
出版年度：2011
卷号：2011
DOI：10.1155/2011/617089
出版社：Hindawi Publishing Corporation
摘要：This paper presents a maximum likelihood based approach to data fusion for electromagnetic (EM) and electrical resistive (ER) tomography. The statistical maximum likelihood criterion is closely linked to the additive Fisher information measure, and it facilitates an appropriate weighting of the measurement data which can be useful with multiphysics inverse problems. The Fisher information is particularly useful for inverse problems which can be linearized similar to the Born approximation. In this paper, a proper scalar product is defined for the measurements and a truncated Singular Value Decomposition (SVD) based algorithm is devised which combines the measurement data of the two imaging modalities in a way that is optimal in the sense of maximum likelihood. As a multiphysics problem formulation with applications in geophysics, the problem of tunnel detection based on EM and ER tomography is studied in this paper. To illustrate the connection between the Green's functions, the gradients and the Fisher information, two simple and generic forward models are described in detail regarding two-dimensional EM and ER tomography, respectively.