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Restoration of ultrasound images using spatially-variant kernel deconvolution

Florea, Mihai I. and Basarab, Adrian and Kouamé, Denis and Vorobyov, Sergiy A. Restoration of ultrasound images using spatially-variant kernel deconvolution. (2018) In: IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP 2018), 15 April 2018 - 20 April 2018 (Calgary, Canada).

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Official URL: https://doi.org/10.1109/ICASSP.2018.8461339

Abstract

Most of the existing ultrasound image restoration methods consider a spatially-invariant point-spread function (PSF) model and circulant boundary conditions. While computationally efficient, this model is not realistic and severely limits the quality of reconstructed images. In this work, we address ultrasound image restoration under the hypothesis of piece-wise linear vertical variation of the PSF based on a small number of prototypes. No assumption is made on the structure of the prototype PSFs. To regularize the solution, we use the classical elastic net constraint. Existing methodologies are rendered impractical either due to their reliance on matrix inversion or due to their inability to exploit the strong convexity of the objective. Therefore, we propose an optimization algorithm based on the Accelerated Composite Gradient Method, adapted and optimized for this task. Our method is guaranteed to converge at a linear rate and is able to adaptively estimate unknown problem parameters. We support our theoretical results with simulation examples.

Item Type:Conference or Workshop Item (Paper)
Additional Information:Thanks to IEEE editor. The definitive version is available at http://ieeexplore.ieee.org This papers appears in Proceedings of ICASSP 2018. Electronic ISSN: 2379-190X Electronic ISBN: 978-1-5386-4658-8 The original PDF of the article can be found at: https://ieeexplore.ieee.org/document/8461339 Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
HAL Id:hal-02348205
Audience (conference):International conference proceedings
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - Toulouse INP (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE)
Université de Toulouse > Université Toulouse - Jean Jaurès - UT2J (FRANCE)
Université de Toulouse > Université Toulouse 1 Capitole - UT1 (FRANCE)
Other partners > Aalto University (FINLAND)
Laboratory name:
Funders:
Academy of Finland, under grant no. 299243 - ANR : Agence nationale de la recherche (France) - CIMI : Centre International de Mathématiques et d’Informatique de Toulouse (France)
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Deposited On:25 Oct 2019 09:30

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