南方医科大学学报Issue(6)：783-786,4.DOI:10.3969/j.issn.1673-4254.2014.06.06
一种基于分裂Bregman方法求解的锥束CT图像迭代重建
Cone beam CT image iterative reconstruction based on Split-Bregman method
摘要
Abstract
Objective We propose a new iterative reconstruction method based on split-Bregman method with tight frame regularization for effective and accurate reconstruction of the sparse-view cone beam CT image. Methods A tight frame was chosen as the regularization term for the objective function, so that the image reconstruction involves only the minimization of an objective function according to the compressed sensing theory. We utilized the split-Bregman method to tackle the task of minimization in three steps:(1) a fast calculation of the forward projection matrix;(2) introducing an intermediate variable to transform the non-differentiated L1 regularization term into the differentiated L2 regularization problem, and solving the target function using conjugate-gradient method; (3) updating the intermediate variable using shrinkage formula from Bregman method. Results Digital and physical phantom experimental results suggested that our new approach had great advantages in terms of image quality, reconstruction time, and applicability. Conclusion The proposed method can accurately reconstruct CBCT image with limited data to lower the X-ray dose and accelerate the calculation speed in comparison with the POCS method.关键词
锥束CT图像重建/分裂Bregman/紧框架收缩/正则化/压缩感知Key words
cone beam CT image reconstruction/split Bregman/tight frame shrink/compressed sensing引用本文复制引用
杨柳,齐宏亮,徐圆,甄鑫,卢文婷,周凌宏..一种基于分裂Bregman方法求解的锥束CT图像迭代重建[J].南方医科大学学报,2014,(6):783-786,4.基金项目
国家自然科学基金（30970866）；广州市重大科技专项(11BppZLjj2120029)；广东省战略性新兴产业核心技术攻关(2011A081402003)@@@@Supported by National Natural Science Foundation of China (30970866) （11BppZLjj2120029）
