The Convergence of Two Algorithms for Compressed Sensing Based Tomography

• 作者: Jiehua Zhu Xiezhang Li
• 来源期刊: 计算机断层扫描(英文)
• 学科: 工学
• 关键词: Compressed SENSING Image Reconstruction Total Variation MINIMIZATION Block ITERATIVE Methods
• 年，卷（期）: 2012,（3）
• 页码范围: 30-36
• 页数: 7页
• 分类号: TP39

摘要

The constrained total variation minimization has been developed successfully for image reconstruction in computed tomography. In this paper, the block component averaging and diagonally-relaxed orthogonal projection methods are proposed to incorporate with the total variation minimization in the compressed sensing framework. The convergence of the algorithms under a certain condition is derived. Examples are given to illustrate their convergence behavior and noise performance.