Inversion formulas for cone transforms arising in application of Compton cameras
Inversion formulas for cone transforms arising in application of Compton cameras
复制标题
康普顿相机应用中出现的锥体变换反演公式
DOI：
10.1088/0266-5611/31/1/015006
复制
发表时间：
2015
期刊：
影响因子：
2.1
通讯作者：
Sunghwan Moon
中科院分区：
文献类型：
--
作者：
Chang;Sunghwan Moon
有人建议在单光子发射计算机断层扫描中应使用康普顿相机，因为传统的伽马相机效率较低。它带来了圆锥变换，将函数映射到由探测器位置、中心轴和康普顿相机的张角确定的圆锥上的表面积分集。我们使用完整的康普顿数据为三维和二维情况提供反演公式。通过数值模拟来演示所建议的二维算法。此外，我们还讨论了具有固定中心轴的圆锥变换的其他反演和稳定性估计。
It has been suggested that a Compton camera should be used in single photon emission computed tomography because a conventional gamma camera has low efficiency. It brings about a cone transform, which maps a function onto the set of its surface integrals over cones determined by the detector position, the central axis, and the opening angle of the Compton camera. We provide inversion formulas using complete Compton data for three- and two-dimensional cases. Numerical simulations are presented to demonstrate the suggested algorithms in dimension two. Also, we discuss other inversions and the stability estimates of a cone transform with a fixed central axis.
影响因子：
3.8
作者：
M. Singh
通讯作者：
M. Singh