Generalized cross-validation applied to a Newton-type algorithm for microwave tomography

机译：广义交叉验证应用于牛顿型微波层析成像算法

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Abstract: The non-linear inverse scattering problem, occurring inthe field of microwave tomography for biomedicalapplications, is solved with the Newton-type iterativealgorithm. This method allows the reconstruction of thecomplex permittivity of strongly inhomogeneous objects.An ill-conditioned system of linear equations isobtained at each iteration and is regularized usingTikhonov's method. The choice of regularization iscrucial, specially when random error is present in thedata. We investigate the Generalized Cross Validationmethod for choosing the regularization parameter.Numerical examples are given in the case of 2D TMinverse problems.!29

机译：摘要：利用牛顿型迭代算法解决了微波层析成像领域在生物医学领域中出现的非线性逆散射问题。这种方法可以重建强非均匀物体的复介电常数。每次迭代都会得到一个线性方程组的病态系统，并使用Tikhonov方法对其进行正则化。正则化的选择至关重要，特别是当数据中存在随机错误时。我们研究了用于选择正则化参数的广义交叉验证方法。在二维TM逆问题的情况下给出了数值示例！29

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《Inverse Problems in Scattering and Imaging》|1992年|p.232-240|共9页
会议地点 San Diego CA(US)
作者
Author(s): Ann Franchois Lab. des Signaux et Systemes Gif-Sur-Yvette Cedex France; Christian Pichot Lab. des Signaux et Systemes Gif-Sur-Yvette Cedex France.;
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正文语种 eng
中图分类物理学;
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4. Generalized cross-validation applied to a Newton-type algorithm formicrowave tomography, [C] . Ann Franchois, Lab. des Signaux et Systemes, Gif-Sur-Yvette Cedex, Inverse Problems in Scattering and Imaging . 1992

机译：广义交叉验证适用于微波层析成像的牛顿型算法，
5. Investigation and Development of Algorithms And Techniques for Microwave Tomography. [D] . Mojabi, Puyan. 2010

机译：微波层析成像算法和技术的研究与开发。
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Generalized cross-validation applied to a Newton-type algorithm for microwave tomography

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