Median Filter Based Compressed Sensing Model with Application to MR Image Reconstruction
Joint Authors
Yang, Yunyun
Qin, Xuxu
Wu, Boying
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-09-16
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
Magnetic resonance imaging (MRI) has become a helpful technique and developed rapidly in clinical medicine and diagnosis.
Magnetic resonance (MR) images can display more clearly soft tissue structures and are important for doctors to diagnose diseases.
However, the long acquisition and transformation time of MR images may limit their application in clinical diagnosis.
Compressed sensing methods have been widely used in faithfully reconstructing MR images and greatly shorten the scanning and transforming time.
In this paper we present a compressed sensing model based on median filter for MR image reconstruction.
By combining a total variation term, a median filter term, and a data fitting term together, we first propose a minimization problem for image reconstruction.
The median filter term makes our method eliminate additional noise from the reconstruction process and obtain much clearer reconstruction results.
One key point of the proposed method lies in the fact that both the total variation term and the median filter term are presented in the L1 norm formulation.
We then apply the split Bregman technique for fast minimization and give an efficient algorithm.
Finally, we apply our method to numbers of MR images and compare it with a related method.
Reconstruction results and comparisons demonstrate the accuracy and efficiency of the proposed model.
American Psychological Association (APA)
Yang, Yunyun& Qin, Xuxu& Wu, Boying. 2018. Median Filter Based Compressed Sensing Model with Application to MR Image Reconstruction. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1209255
Modern Language Association (MLA)
Yang, Yunyun…[et al.]. Median Filter Based Compressed Sensing Model with Application to MR Image Reconstruction. Mathematical Problems in Engineering No. 2018 (2018), pp.1-9.
https://search.emarefa.net/detail/BIM-1209255
American Medical Association (AMA)
Yang, Yunyun& Qin, Xuxu& Wu, Boying. Median Filter Based Compressed Sensing Model with Application to MR Image Reconstruction. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1209255
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1209255