西安电子科技大学学报（自然科学版）Issue(4)：95-99,113,6.DOI:10.3969/j.issn.1001-2400.2015.04.016
不完全投影图像重建的压缩感知算法
Improved compressive sensing algorithm for CT image reconstruction with incomplete projection data
摘要
Abstract
Aiming at the problem of the long scanning time of the classical scanning modalities in X‐ray luminescence computed tomography and based on the traditional total variation minimization ( TVM ) algorithm , an improved compressive sensing ( CS ) algorithm for image reconstruction under incomplete projection situations is suggested and investigated . The algebraic reconstruction technique ( ART ) process under the non‐negative constraint and the total variation minimization process solved by the gradient descent method are combined in the improved algorithm . To solve the constrained optimization problem , the ART process is performed several times first and then alternates with the total variation minimization process . The CS reconstructions under two incomplete projection situations , few‐view projection and limited‐angle projection , are discussed , and the effects of the adjustment factor and the iterative number in the total variation minimization process on the performance are investigated . The effectiveness of the proposed method is demonstrated by the simulation experiments based on the Shepp‐Logan head phantom .关键词
图像重建/不完全投影/压缩感知/全变分最小化Key words
image reconstruction/incomplete projection/compressive sensing/total variation minimization分类
信息技术与安全科学引用本文复制引用
匡涛,黄力宇,钟玉芳,李超..不完全投影图像重建的压缩感知算法[J].西安电子科技大学学报（自然科学版）,2015,(4):95-99,113,6.基金项目
国家自然科学基金资助项目（31271063）；陕西省科学技术研究发展计划资助项目（2014K06-12）；中央高校基本科研业务费专项资金资助项目 （）
