摘要
通过将Natterer的结果推广到具有复系数的At RT(衰减Radon变换)和应用针对ROI(感兴趣区域)的扇束扫描模式中,得到平行束扫描几何中具有复系数的At RT(衰减Radon变换)的明确反演公式,以及SPECT(单光子发射计算机断层)中非均匀衰减扇束投影的精确局部重建公式.重建结果基于平行束与扇束之间的坐标变换.
In this work, the inversion formula of the nonuniform attenuated Radon transform （AtRT） with complex coefficients in parallel-beam geometry, and the local reconstruction formula in SPECT with nonuniform absorption fan-beam data are derived by extending Natterer＇s results to the AtRT with imaginary coefficients and applying the fan-beam acquisition geometry for the Region of Interest （ROI）. The reconstruction result is achieved based on a usual transform between parallel-beam and fan-beam coordinates.
出处
《宁波大学学报（理工版）》
CAS
2016年第4期61-66,共6页
Journal of Ningbo University：Natural Science and Engineering Edition
基金
国家自然科学基金(61271398)
关键词
非均匀衰减
衰减Radon变换
感兴趣区域
局部重建
nonuniform absorption
attenuated Radon transform
region of interest
local image reconstruction
