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通过交替方向法进行分布式重建。

Distributed reconstruction via alternating direction method.

机构信息

National Digital Switching System Engineering & Technological R&D Center, Zhengzhou, China.

出版信息

Comput Math Methods Med. 2013;2013:418747. doi: 10.1155/2013/418747. Epub 2013 Aug 20.

DOI:10.1155/2013/418747
PMID:24027601
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC3762165/
Abstract

With the development of compressive sensing theory, image reconstruction from few-view projections has received considerable research attentions in the field of computed tomography (CT). Total-variation- (TV-) based CT image reconstruction has been shown to be experimentally capable of producing accurate reconstructions from sparse-view data. In this study, a distributed reconstruction algorithm based on TV minimization has been developed. This algorithm is very simple as it uses the alternating direction method. The proposed method can accelerate the alternating direction total variation minimization (ADTVM) algorithm without losing accuracy.

摘要

随着压缩感知理论的发展，从少视角投影重建图像在计算机断层扫描（CT）领域受到了相当多的关注。基于全变差（TV）的 CT 图像重建已被证明在实验上能够从稀疏视图数据中产生精确的重建。在本研究中，开发了一种基于 TV 最小化的分布式重建算法。该算法非常简单，因为它使用交替方向法。所提出的方法可以在不损失准确性的情况下加速交替方向全变分最小化（ADTVM）算法。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bae5/3762165/77475a3e89be/CMMM2013-418747.006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bae5/3762165/8ca9846189b2/CMMM2013-418747.001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bae5/3762165/1a575db5dd15/CMMM2013-418747.002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bae5/3762165/35639ad5f8d1/CMMM2013-418747.003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bae5/3762165/9f81b41627ee/CMMM2013-418747.004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bae5/3762165/18ad758bd254/CMMM2013-418747.005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bae5/3762165/77475a3e89be/CMMM2013-418747.006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bae5/3762165/8ca9846189b2/CMMM2013-418747.001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bae5/3762165/1a575db5dd15/CMMM2013-418747.002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bae5/3762165/35639ad5f8d1/CMMM2013-418747.003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bae5/3762165/9f81b41627ee/CMMM2013-418747.004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bae5/3762165/18ad758bd254/CMMM2013-418747.005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/bae5/3762165/77475a3e89be/CMMM2013-418747.006.jpg

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引用本文的文献

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Front Oncol. 2022 Apr 27;12:832037. doi: 10.3389/fonc.2022.832037. eCollection 2022.

本文引用的文献

1
Optimization-based reconstruction of sparse images from few-view projections.基于优化的稀疏图像从少视角投影重建。
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Image reconstruction in circular cone-beam computed tomography by constrained, total-variation minimization.基于约束全变差最小化的圆锥束计算机断层扫描图像重建
Phys Med Biol. 2008 Sep 7;53(17):4777-807. doi: 10.1088/0031-9155/53/17/021. Epub 2008 Aug 13.
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Image reconstruction from cone-beam projections: necessary and sufficient conditions and reconstruction methods.
从锥束投影重建图像：必要和充分条件及重建方法。
IEEE Trans Med Imaging. 1985;4(1):14-25. doi: 10.1109/TMI.1985.4307689.