Few-View Image Reconstruction Combining Total Variation and a High-Order Norm

Yi Zhang; Wei-Hua Zhang; Hu Chen; Meng-Long Yang; Tai-Yong Li; Ji-Liu Zhou

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Few-View Image Reconstruction Combining Total Variation and a High-Order Norm

机译：结合总变化量和高阶范数的少量视图图像重建

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摘要

This work presents a novel computed tomography reconstruction method for few-view problem based on a compound method. To overcome the disadvantages of total variation (TV) minimization method, we use a high-order norm coupled within TV and the numerical scheme for our method is given. We use the root mean square error as a referee. The numerical experiments demonstrate that our method achieves better performance than existing reconstruction methods, including filtered back projection, expectation maximization, and TV with projection on convex sets.

机译：这项工作提出了一种新颖的基于复合方法的针对少视力问题的计算机断层摄影重建方法。为了克服总方差（TV）最小化方法的缺点，我们在TV中使用了高阶范数，并给出了该方法的数值方案。我们使用均方根误差作为裁判。数值实验表明，与现有的重建方法相比，我们的方法具有更好的性能，包括滤波反投影，期望最大化以及在凸集上进行投影的电视。

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来源
《International journal of imaging systems and technology》 |2013年第3期|249-255|共7页
作者
Yi Zhang; Wei-Hua Zhang; Hu Chen; Meng-Long Yang; Tai-Yong Li; Ji-Liu Zhou;
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作者单位

College of Computer Science, Sichuan University, Chengdu, China;

College of Computer Science, Sichuan University, Chengdu, China;

College of Computer Science, Sichuan University, Chengdu, China;

The School of Aerospace Science and Engineering, Sichuan University, Chengdu, China;

School of Economic Information Engineering, Southwestern University of Finance and Economics, Chengdu, China;

College of Computer Science, Sichuan University, Chengdu, China;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
x-ray computed tomography; few-view; total variation; image reconstruction;

机译：X射线计算机断层扫描;少数观点总变化影像重建;

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1. Few-view CT image reconstruction using improved total variation regularization [J] . Li Kuai, Sang Ziru, Zhang Xuezhu, Journal of X-ray science and technology . 2019,第4期

机译：使用改进的总变化正则化的少数视图CT图像重建
2. Computed Tomography Image Reconstruction from Few-Views Data by Multi-Directional Total Variation [J] . Chen Mian-Yi, Ren Yong, Feng Peng, Journal of Medical Imaging and Health Informatics . 2015,第2期

机译：通过多方向总变化从少量视图数据重建计算机断层扫描图像
3. Improved total variation minimization method for few-view computed tomography image reconstruction [J] . Zhanli Hu, Hairong Zheng BioMedical Engineering OnLine . 2014,第1期

机译：改进的总变异最小化方法用于多视角计算机断层摄影图像重建
4. Reconstruction of limited-angle and few-view nano-CT image via total variation iterative reconstruction [C] . Zhiting Liang, Yong Guan, Gang Liu, Conference on X-Ray Nanoimaging: Instruments and Methods . 2013

机译：通过全变化迭代重建法重建有限角度和少视点的纳米CT图像
5. Improved Total Variation Reconstruction Methods for Cardiac Magnetic Resonance Imaging [D] . Kamesh Iyer, Srikant. 2017

机译：改进的总变异重建方法用于心脏磁共振成像
6. Improved total variation minimization method for few-view computed tomography image reconstruction [O] . Zhanli Hu, Hairong Zheng 2010

机译：改进的总变异最小化方法用于多视点计算机断层摄影图像重建
7. Constrained Total Generalized p-Variation Minimization for Few-View X-Ray Computed Tomography Image Reconstruction. [O] . Hanming Zhang, Linyuan Wang, Bin Yan, 2016

机译：少数视图X射线计算机断层扫描图像重建的约束总广义p-变化最小化。

Few-View Image Reconstruction Combining Total Variation and a High-Order Norm

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