Blind Deconvolution of Medical Ultrasound Images Using a Parametric Model for the Point Spread Function

Ningning Zhao (1, 2) , Qi Wei (3) , Adrian Basarab (2, 4) , Denis Kouamé (2) , Jean-Yves Tourneret (5, 6)

1 IRIT-SC - Signal et Communications
2 IRIT-TCI - Traitement et Compréhension d’Images
3 CAM - University of Cambridge [UK]
4 UT3 - Université Toulouse III - Paul Sabatier
5 IRIT-MINDS - CoMputational imagINg anD viSion
6 Toulouse INP - Institut National Polytechnique (Toulouse)

This paper addresses the problem of blind deconvolution of medical ultrasound (US) images. Specifically, a parametric model for the point spread function (PSF) established experimentally is used, i.e., the US PSF can be modeled by a Gaussian function modulated by a sinusoidal function. Given this parametric model, the estimation of the PSF in a blind deconvolution problem can be reduced to the estimation of its parameters. Moreover, due to the ill-posedness of blind deconvolution problem, an ℓp-norm (0 <; p ≤ 2) regularization term (including the widely considered ℓ1-norm, ℓ2-norm regularization terms) for the ultrasound tissue reflectivity function (TRF) is employed, based on the assumption of generalized Gaussian distributed US images. An alternating optimization approach is proposed for the estimations of the US PSF and TRF. The behavior of the proposed algorithm is illustrated using simulated and in vivo US data.

Mots clés: Ultrasound imaging; Block circulant matrix; Blind deconvolution; Proximal alternating linearized minimization; Optimization; Variable metric forward backward splitting

Domaines: Synthèse d'image et réalité virtuelle [cs.GR]; Traitement du signal et de l'image [eess.SP]; Traitement des images [eess.IV]; Vision par ordinateur et reconnaissance de formes [cs.CV]; Intelligence artificielle [cs.AI]

Ningning Zhao, Qi Wei, Adrian Basarab, Denis Kouamé, Jean-Yves Tourneret. Blind Deconvolution of Medical Ultrasound Images Using a Parametric Model for the Point Spread Function. IEEE International Ultrasonics Symposium (IUS 2016), Sep 2016, Tours, France. pp. 1-4. ⟨hal-01517383⟩