https://scholars.lib.ntu.edu.tw/handle/123456789/425873
Title: | An adaptive directional haar framelet-based reconstruction algorithm for parallel magnetic resonance imaging | Authors: | Li, Y.-R. Chan, R.H. LI-JIUAN SHEN YEN-CHUN HSU WEN-YIH TSENG |
Keywords: | Haar wavelet system | Parallel MRI | Proximity operator | Tight frame | Total variation | Issue Date: | 2016 | Journal Volume: | 9 | Journal Issue: | 2 | Source: | SIAM Journal on Imaging Sciences | Abstract: | © 2016 Society for Industrial and Applied Mathematics. Parallel magnetic resonance imaging (pMRI) is a technique to accelerate the magnetic resonance imaging process. The problem of reconstructing an image from the collected pMRI data is ill-posed. Regularization is needed to make the problem well-posed. In this paper, we first construct a twodimensional tight framelet system whose filters have the same support as the orthogonal Haar filters and are able to detect edges of an image in the horizontal, vertical, and ±45° directions. This system is referred to as directional Haar framelet (DHF). We then propose a pMRI reconstruction model whose regularization term is formed by the DHF. This model is solved by a fast proximal algorithm with low computational complexity. The regularization parameters are updated adaptively and determined automatically during the iteration of the algorithm. Numerical experiments for in-silico and in-vivo data sets are provided to demonstrate the superiority of the DHF-based model and the efficiency of our proposed algorithm for pMRI reconstruction. |
URI: | https://scholars.lib.ntu.edu.tw/handle/123456789/425873 | ISSN: | 1936-4954 | DOI: | 10.1137/15M1033964 http://www.scopus.com/inward/record.url?eid=2-s2.0-84976632944&partnerID=MN8TOARS 27628198 |
Appears in Collections: | 醫療器材與醫學影像研究所 |
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