New properties of the V-line Radon transform and their imaging applications
New properties of the V-line Radon transform and their imaging applications
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V线Radon变换的新特性及其成像应用
DOI：
10.1088/1751-8113/48/40/405204
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发表时间：
2015
期刊：
影响因子：
--
通讯作者：
M. Nguyen
中科院分区：
文献类型：
--
作者：
T. Truong;M. Nguyen
本文报道了新的方面，所谓的V线氡变换（RT）补充那些在早期的工作。这些新的性质很好地揭示和描述与笛卡尔坐标。特别是，我们表明，V-线RT属于类的RT曲线在平面上，可以映射到标准RT的直线，从而完全特征和可逆的。接下来，我们表明，几何反演的V线RT的效果是产生一个新的RT上的一对补充圆弧，这提供了一个新的访问图像重建在所谓的诺顿的模式康普顿散射断层扫描，领跑者在竞争中的替代品，目前的发射成像。
This paper reports on new aspects of the so-called V-line Radon transforms (RTs) complementing those reported in an earlier work. These new properties are nicely uncovered and described with Cartesian coordinates. In particular, we show that the V-line RT belongs to the class of RTs on curves in the plane which can be mapped onto the standard RT on straight lines and thereby are fully characterizable and invertible. Next, we show that the effect of geometric inversion on the V-line RT is to produce a new RT on a pair of supplementary circular arcs, which provides a new access to image reconstruction in the so-called Norton's modality of Compton scatter tomography, a front runner in the race for alternatives to current emission imaging.
单散射光学断层扫描：同时重建散射和吸收。
DOI：
10.1103/physreve.81.016602
发表时间：
2010
期刊：
Physical review. E, Statistical, nonlinear, and soft matter physics
影响因子：
--
作者：
Florescu,Lucia;Markel,VadimA;Schotland,JohnC
通讯作者：
Schotland,JohnC