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Advances in Acoustics and Vibration
Volume 2012 (2012), Article ID 231317, 16 pages
http://dx.doi.org/10.1155/2012/231317
Research Article

Frequency Domain Compressive Sampling for Ultrasound Imaging

University of Toulouse, IRIT UMR 5505 CNRS, 31062 Toulouse Cedex 9, France

Received 9 December 2011; Accepted 5 April 2012

Academic Editor: Erdal Oruklu

Copyright © 2012 Céline Quinsac et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Compressed sensing or compressive sampling is a recent theory that originated in the applied mathematics field. It suggests a robust way to sample signals or images below the classic Shannon-Nyquist theorem limit. This technique has led to many applications, and has especially been successfully used in diverse medical imaging modalities such as magnetic resonance imaging, computed tomography, or photoacoustics. This paper first revisits the compressive sampling theory and then proposes several strategies to perform compressive sampling in the context of ultrasound imaging. Finally, we show encouraging results in 2D and 3D, on high- and low-frequency ultrasound images.