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Computational and Mathematical Methods in Medicine
Volume 2014, Article ID 810680, 10 pages
http://dx.doi.org/10.1155/2014/810680
Research Article

Improving the Performance of the Prony Method Using a Wavelet Domain Filter for MRI Denoising

Escuela de Matemáticas, Facultad de Ciencias, Universidad Nacional de Colombia, Medellín, Colombia

Received 11 February 2014; Accepted 18 March 2014; Published 14 April 2014

Academic Editor: Fenglin Liu

Copyright © 2014 Rodney Jaramillo 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

The Prony methods are used for exponential fitting. We use a variant of the Prony method for abnormal brain tissue detection in sequences of weighted magnetic resonance images. Here, MR images are considered to be affected only by Rician noise, and a new wavelet domain bilateral filtering process is implemented to reduce the noise in the images. This filter is a modification of Kazubek’s algorithm and we use synthetic images to show the ability of the new procedure to suppress noise and compare its performance with respect to the original filter, using quantitative and qualitative criteria. The tissue classification process is illustrated using a real sequence of MR images, and the filter is applied to each image before using the variant of the Prony method.