Variational Bayesian inversion for microwave breast imaging

• Autorzy: Gharsalli L. , Ayasso H. , Duchêne B. , Mohammad-Djafari A.
• Języki publikacji: EN

Abstrakty

EN

Microwave imaging is considered as a nonlinear inverse scattering problem and tackled in a Bayesian estimation framework. The object under test (a breast affected by a tumor) is assumed to be composed of compact regions made of a restricted number of different homogeneous materials. This a priori knowledge is defined by a Gauss-Markov-Potts distribution. First, we express the joint posterior of all the unknowns; then, we present in detail the variational Bayesian approximation used to compute the estimators and reconstruct both permittivity and conductivity maps. This approximation consists of the best separable probability law that approximates the true posterior distribution in the Kullback-Leibler sense. This leads to an implicit parametric optimization scheme which is solved iteratively. Some preliminary results, obtained by applying the proposed method to synthetic data, are presented and compared with those obtained by means of the classical contrast source inversion method.

Słowa kluczowe

EN

inverse scattering; microwave imaging; breast cancer detection; Gauss-Markov-Potts prior; variational Bayesian approximation

PL

odwrotne rozproszenie; obrazowanie mikrofalowe; wykrywanie raka piersi; Gauss-Markov-Potts; metoda Bayesa

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Computer Assisted Methods in Engineering and Science
• Rocznik: 2014
• Tom: Vol. 21, no. 3-4
• Strony: 199--210
• Opis fizyczny: Bibliogr. 27 poz., il., tab., wykr.

Twórcy

autor

Gharsalli L.

• Laboratoire des Signaux et Systèmes (L2S, UMR 8506: CNRS – Centrale-Supélec – Univ Paris-Sud) 3 rue Joliot-Curie, F-91190 Gif-sur-Yvette, France

autor

Ayasso H.

• Univ Grenoble-Alpes, GIPSA-Lab 11 rue des mathématiques, Grenoble Campus, BP 46, F-38000 Grenoble, France

autor

Duchêne B.

• Laboratoire des Signaux et Systèmes (L2S, UMR 8506: CNRS – Centrale-Supélec – Univ Paris-Sud) 3 rue Joliot-Curie, F-91190 Gif-sur-Yvette, France

autor

Mohammad-Djafari A.

• Laboratoire des Signaux et Systèmes (L2S, UMR 8506: CNRS – Centrale-Supélec – Univ Paris-Sud) 3 rue Joliot-Curie, F-91190 Gif-sur-Yvette, France

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