A maximum product criterion as a Tikhonov parameter choice rule for Kirsch’s factorization method

Autor:	George Pelekanos, Koung Hee Leem, Juliano B. Francisco, Fermín S. V. Bazán
Rok vydání:	2012
Předmět:	SVD-tail Factorization method Applied Mathematics Mathematical analysis Inversion (meteorology) Tikhonov regularization Fixed points Computational Mathematics Regularization (physics) Regularization Applied mathematics Choice rule Mathematics
Zdroj:	Journal of Computational and Applied Mathematics. 236(17):4264-4275
ISSN:	0377-0427
DOI:	10.1016/j.cam.2012.05.008
Popis:	Kirsch’s factorization method is a fast inversion technique for visualizing the profile of a scatterer from measurements of the far-field pattern. We present a Tikhonov parameter choice approach based on a maximum product criterion (MPC) which provides a regularization parameter located in the concave part of the L-curve on a log–log scale. The performance of the method is evaluated by comparing our reconstructions with those obtained via the L-curve, Morozov’s discrepancy principle and the SVD-tail. Numerical results that illustrate the effectiveness of the MPC in reconstruction problems involving both simulated and real data are reported and analyzed.
Databáze:	OpenAIRE
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