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Computational and Mathematical Methods in Medicine
Volume 2014, Article ID 329350, 13 pages
Research Article

Sparse-View Ultrasound Diffraction Tomography Using Compressed Sensing with Nonuniform FFT

Image Processing and Intelligence Control Key Laboratory of Education Ministry of China, Department of Biomedical Engineering, School of Life Science and Technology, Huazhong University of Science and Technology, Wuhan 430074, China

Received 22 December 2013; Revised 16 March 2014; Accepted 19 March 2014; Published 24 April 2014

Academic Editor: William Crum

Copyright © 2014 Shaoyan Hua 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.


Accurate reconstruction of the object from sparse-view sampling data is an appealing issue for ultrasound diffraction tomography (UDT). In this paper, we present a reconstruction method based on compressed sensing framework for sparse-view UDT. Due to the piecewise uniform characteristics of anatomy structures, the total variation is introduced into the cost function to find a more faithful sparse representation of the object. The inverse problem of UDT is iteratively resolved by conjugate gradient with nonuniform fast Fourier transform. Simulation results show the effectiveness of the proposed method that the main characteristics of the object can be properly presented with only 16 views. Compared to interpolation and multiband method, the proposed method can provide higher resolution and lower artifacts with the same view number. The robustness to noise and the computation complexity are also discussed.