Analytical inversion formula for uniformly attenuated fan-beam projections

被引:14
作者
Weng, Y
Zeng, GL
Gullberg, GT
机构
[1] Department of Radiology, University of Utah, Salt Lake City
基金
美国国家卫生研究院;
关键词
attenuation correction; fan-beam; image reconstruction; CONSTANT ATTENUATION; RADON-TRANSFORM; TOMOGRAPHY;
D O I
10.1109/23.568816
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
A convolution backprojection algorithm was derived by Tretiak and Metz to reconstruct two-dimensional (2-D) transaxial slices from uniformly attenuated parallel-beam projections. Using transformation of coordinates, this algorithm can be modified to obtain a formulation useful to reconstruct uniformly attenuated fan-beam projections. Unlike that for parallel-beam projections, this formulation does not produce a filtered backprojection reconstruction algorithm but instead has a formulation that is an inverse integral operator with a spatially varying kernel, This algorithm thus requires more computation time than does the filtered backprojection reconstruction algorithm for the uniformly attenuated parallel-beam case. However, the fan-beam reconstructions demonstrate the same image quality as that of parallel-beam reconstructions.
引用
收藏
页码:243 / 249
页数:7
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