A SPECT reconstruction method for extending parallel to non-parallel geometries

被引:2
|
作者
Wen, Junhai [1 ]
Liang, Zhengrong [2 ]
机构
[1] Beijing Inst Technol, Sch Life Sci & Technol, Dept Biomed Engn, Beijing 100081, Peoples R China
[2] SUNY Stony Brook, Dept Radiol, Stony Brook, NY 11794 USA
来源
PHYSICS IN MEDICINE AND BIOLOGY | 2010年 / 55卷 / 06期
基金
中国国家自然科学基金;
关键词
EXPONENTIAL RADON-TRANSFORM; FAN-BEAM COLLIMATORS; INVERSION-FORMULA; ALGORITHM;
D O I
10.1088/0031-9155/55/6/007
中图分类号
R318 [生物医学工程];
学科分类号
0831 ;
摘要
Due to its simplicity, parallel-beam geometry is usually assumed for the development of image reconstruction algorithms. The established reconstruction methodologies are then extended to fan-beam, cone-beam and other non-parallel geometries for practical application. This situation occurs for quantitative SPECT (single photon emission computed tomography) imaging in inverting the attenuated Radon transform. Novikov reported an explicit parallel-beam formula for the inversion of the attenuated Radon transform in 2000. Thereafter, a formula for fan-beam geometry was reported by Bukhgeim and Kazantsev (2002 Preprint N. 99 Sobolev Institute of Mathematics). At the same time, we presented a formula for varying focal-length fan-beam geometry. Sometimes, the reconstruction formula is so implicit that we cannot obtain the explicit reconstruction formula in the non-parallel geometries. In this work, we propose a unified reconstruction framework for extending parallel-beam geometry to any non-parallel geometry using ray-driven techniques. Studies by computer simulations demonstrated the accuracy of the presented unified reconstruction framework for extending parallel-beam to non-parallel geometries in inverting the attenuated Radon transform.
引用
收藏
页码:1631 / 1641
页数:11
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