二维外扇束 CT 的一种新的迭代重建算法。

A new iterative reconstruction algorithm for 2D exterior fan-beam CT.

机构信息

ICT Research Center, Key Laboratory of Optoelectronic Technology and System of the Education Ministry of China, Chongqing University, Chongqing, China.

出版信息

J Xray Sci Technol. 2010;18(3):267-77. doi: 10.3233/XST-2010-0259.

DOI:10.3233/XST-2010-0259

PMID:20714085

Abstract

The exterior computed tomography (CT) problem is one kind of truncation problem. It is very ill-posed, so that accurate reconstruction of the attenuation function is hardly possible from real data. Based on projection onto convex sets (POCS) algorithm, total variation minimization (TVM) methods, and C-V model, we develop and investigate a new iterative reconstruction algorithm, which is referred to as subregion-averaged-TVM-POCS (SA-TVM-POCS). Numerical simulations are presented to illustrate the efficiency of the algorithm. The results of this paper can be easily applied to other x-ray CT reconstruction problems.

摘要

外部计算机断层扫描（CT）问题是一种截断问题。它非常不适定，因此从实际数据中准确重建衰减函数几乎是不可能的。基于投影 onto convex sets (POCS) 算法、总变差最小化 (TVM) 方法和 C-V 模型，我们开发并研究了一种新的迭代重建算法，称为子区域平均 TVM-POCS（SA-TVM-POCS）。数值模拟结果表明了该算法的有效性。本文的结果可以很容易地应用于其他 X 射线 CT 重建问题。