有限角度CT图像重建算法综述

基金项目:

国家自然科学基金(编号:10575059)资助

详细信息

Reviews of Image Reconstruction from Limited-angle

摘要: 本文主要介绍了处理有限角度CT图像重建的思路和方法。有限角度CT图像重建属于不完全数据重建范畴,由于不满足数据完备性条件,因此不能精确重建。其处理方法大致可以分为两类:基于变换的迭代-解析重建算法和基于级数展开的迭代-代数/统计重建算法。同时,有限角度重建等价于病态矩阵求逆问题,适当的约束条件、先验知识以及正则化因子对提高重建图像质量非常重要。
- 有限角度 /
- 图像重建 /
- 正则化 /
- 病态矩阵
Abstract: In this paper,the methods and algorithms for image reconstruction from limited-angle are discussed.It belongs to incomplete-data reconstruction,since the data sufficient condition is not satisfied and exact reconstruction is technically impossible.The methods and algorithms can be classified into two categories:transform-based iterative-analytic reconstructions and series expansion-based iterative-algebraic/statistical reconstructions.Meanwhile,image reconstruction from limited-angle is equivalent to inversion of ill-posed matrix so that proper limitation conditions,a prior knowledge and regularizations play vital roles.
- limited-angle /
- image reconstruction /
- regularization /
- and ill-posed matrix.