The EM Method in a Probabilistic Wavelet-Based MRI Denoising
Joint Authors
Martin-Fernandez, Marcos
Villullas, Sergio
Source
Computational and Mathematical Methods in Medicine
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-05-18
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
Human body heat emission and others external causes can interfere in magnetic resonance image acquisition and produce noise.
In this kind of images, the noise, when no signal is present, is Rayleigh distributed and its wavelet coefficients can be approximately modeled by a Gaussian distribution.
Noiseless magnetic resonance images can be modeled by a Laplacian distribution in the wavelet domain.
This paper proposes a new magnetic resonance image denoising method to solve this fact.
This method performs shrinkage of wavelet coefficients based on the conditioned probability of being noise or detail.
The parameters involved in this filtering approach are calculated by means of the expectation maximization (EM) method, which avoids the need to use an estimator of noise variance.
The efficiency of the proposed filter is studied and compared with other important filtering techniques, such as Nowak’s, Donoho-Johnstone’s, Awate-Whitaker’s, and nonlocal means filters, in different 2D and 3D images.
American Psychological Association (APA)
Martin-Fernandez, Marcos& Villullas, Sergio. 2015. The EM Method in a Probabilistic Wavelet-Based MRI Denoising. Computational and Mathematical Methods in Medicine،Vol. 2015, no. 2015, pp.1-21.
https://search.emarefa.net/detail/BIM-1057824
Modern Language Association (MLA)
Martin-Fernandez, Marcos& Villullas, Sergio. The EM Method in a Probabilistic Wavelet-Based MRI Denoising. Computational and Mathematical Methods in Medicine No. 2015 (2015), pp.1-21.
https://search.emarefa.net/detail/BIM-1057824
American Medical Association (AMA)
Martin-Fernandez, Marcos& Villullas, Sergio. The EM Method in a Probabilistic Wavelet-Based MRI Denoising. Computational and Mathematical Methods in Medicine. 2015. Vol. 2015, no. 2015, pp.1-21.
https://search.emarefa.net/detail/BIM-1057824
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1057824