Analytic Inversion of a Conical Radon Transform Arising in Application of Compton Cameras on the Cylinder
Analytic Inversion of a Conical Radon Transform Arising in Application of Compton Cameras on the Cylinder
复制标题
康普顿相机在圆柱体上应用时产生的圆锥Radon变换的解析反演
DOI：
10.1137/16m1083116
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发表时间：
2016
期刊：
影响因子：
--
通讯作者：
M. Haltmeier
中科院分区：
文献类型：
--
作者：
Sunghwan Moon;M. Haltmeier
单光子发射计算机断层扫描（SPECT）是一个完善的临床工具，功能成像。当前SPECT系统的局限性是使用机械准直，其中实际上仅将发射的光子的一小部分用于图像重建。这导致大的噪声水平并且最终导致有限的空间分辨率。为了降低噪声水平并提高成像分辨率，已经提出康普顿相机作为机械准直器的替代方案。用康普顿照相机在SPECT中进行图像重建产生从圆锥表面上的积分恢复标记分布的问题。由于这个和其他应用，这种锥形拉东变换最近得到了显着的关注。在目前的文件中，我们考虑的情况下，圆锥体的整合有顶点的圆柱和轴指向对称轴的圆柱。作为主要结果，我们推导出所考虑的变换的解析重建方法。我们还研究了顶点在圆上且对称轴与圆正交的V线变换，这是在吸收体分布位于水平面上的特殊情况下产生的。
Single photon emission computed tomography (SPECT) is a well established clinical tool for functional imaging. A limitation of current SPECT systems is the use of mechanical collimation, where only a small fraction of the emitted photons is actually used for image reconstruction. This results in large noise level and finally in a limited spatial resolution. In order to decrease the noise level and to increase the imaging resolution, Compton cameras have been proposed as an alternative to mechanical collimators. Image reconstruction in SPECT with Compton cameras yields to the problem of recovering a marker distribution from integrals over conical surfaces. Due to this and other applications, such conical Radon transforms recently got significant attention. In the current paper we consider the case where the cones of integration have vertices on a circular cylinder and axis pointing to the symmetry axis of the cylinder. As main results we derive analytic reconstruction methods for the considered transform. We also investigate the V-line transform with vertices on a circle and symmetry axis orthogonal to the circle, which arises in the special case where the absorber distribution is located in a horizontal plane.
用于单光子发射计算机断层扫描的电子准直伽马相机。
影响因子：
3.8
作者：
Singh,M;Doria,D
通讯作者：
Doria,D