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Reconstruction of ultrasound RF echoes modelled as stable random variables

Achim, Alin Marian and Basarab, Adrian and Tzagkarakis, George and Tsakalides, Panagiotis and Kouamé, Denis Reconstruction of ultrasound RF echoes modelled as stable random variables. (2015) IEEE Transactions on Computational Imaging, 1 (2). 86-95. ISSN 2333-9403

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Official URL: http://dx.doi.org/10.1109/TCI.2015.2463257

Abstract

This paper introduces a new technique for reconstruction of biomedical ultrasound images from simulated compressive measurements, based on modeling data with stable distributions. The proposed algorithm exploits two types of prior information: on one hand, our proposed approach is based on the observation that ultrasound RF echoes are best characterized statistically by alpha-stable distributions. On the other hand, through knowledge of the acquisition process, the support of the RF echoes in the Fourier domain can be easily inferred. Together, these two facts form the basis of an ℓp minimization approach that employs the iteratively reweighted least squares (IRLS) algorithm, but in which the parameter p is judiciously chosen, by relating it to the characteristic exponent of the underlying alpha-stable distributed data. We demonstrate, through Monte Carlo simulations, that the optimal value of the parameter p is just below that of the characteristic exponent α, which we estimate from the data. Our reconstruction results show that the proposed algorithm outperforms previously proposed reconstruction techniques, both visually and in terms of two objective evaluation measures.

Item Type:Article
Additional Information:Thanks to the IEEE (Institute of Electrical and Electronics Engineers). The definitive version is available at http://ieeexplore.ieee.org The original PDF of the article can be found at IEEE Transactions on Computational Imaging website : http://ieeexplore.ieee.org/xpl/articleDetails.jsp?reload=true&arnumber=7174535&punumber%3D6745852
HAL Id:hal-01274386
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Other partners > Foundation for Research and Techonology Hellas – FORTH (GREECE)
Université de Toulouse > Institut National Polytechnique de Toulouse - INPT (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UPS (FRANCE)
Université de Toulouse > Université Toulouse - Jean Jaurès - UT2J (FRANCE)
Université de Toulouse > Université Toulouse 1 Capitole - UT1 (FRANCE)
Other partners > University of Bristol (UNITED KINGDOM)
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Deposited By: IRIT IRIT
Deposited On:15 Feb 2016 16:34

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