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一种基于POCS约束的图像代数重建算法
引用本文:胡小舟,孔斌,成二康,胡戎翔.一种基于POCS约束的图像代数重建算法[J].模式识别与人工智能,2009,22(5).
作者姓名:胡小舟  孔斌  成二康  胡戎翔
作者单位:1. 中国科学院合肥智能机械研究所仿生视觉实验室,合肥,230031;中国科学技术大学自动化系,合肥,230027;安徽省仿生感知与先进机器人技术重点实验室,合肥,230031
2. 中国科学院合肥智能机械研究所仿生视觉实验室,合肥,230031;安徽省仿生感知与先进机器人技术重点实验室,合肥,230031
摘    要:不完全投影数据的代数重建问题一直是CT应用中的热点问题.通过对相互垂直角度投影图像之间的关系分析,文中提出一种改进的代数重建(ART)算法.该算法采用记录射线穿过网格编号和射线与网格相交长度的方法计算投影系数矩阵,并在反投影过程中对不完全投影数据采用凸集投影约束的方法进行重建.实验表明该算法与ART算法相比,图像重建的速度与图像重建的质量都得到较大提高.

关 键 词:代数重建法(ART)  凸集投影(POCS)约束  不完全投影数据  投影系数矩阵

An Image Algebraic Reconstruction Technique Based on POCS Restriction
HU Xiao-Zhou,KONG Bin,CHENG Er-Kang,HU Rong-Xiang.An Image Algebraic Reconstruction Technique Based on POCS Restriction[J].Pattern Recognition and Artificial Intelligence,2009,22(5).
Authors:HU Xiao-Zhou  KONG Bin  CHENG Er-Kang  HU Rong-Xiang
Abstract:Algebraic reconstruction based on incomplete projection data is a hot issue in CT application. An improved algebraic reconstruction technique (ART) is proposed based on the analysis of relationships between images with mutual perpendicular projection angles. The projection coefficient matrix is calculated by recording the indices of ray-cross grids and the lengths of grid-ray intersections. In the process of reverse projection, POCS restriction is used to reconstruct the image from the incomplete data. The experimental results show that compared with the ART algorithm, the proposed algorithm greatly improves the speed and the quality of image reconstruction.
Keywords:Algebraic Reconstruction Technique (ART)  Projection onto Convex Set (POCS)Restriction  Incomplete Projection Data  Projection Coefficient Matrix
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