论文标题
从3D中的球形ra变换中的局部重建
Local reconstruction from the spherical Radon transform in 3D
论文作者
论文摘要
在本文中，我们研究了$ \ mathbf r^3 $中的球形平均ra transform，探测器以飞机为中心。我们使用本文作者建议的一致性方法来倒入3D中的转换。提出了一种新的迭代反演公式。该公式具有本地的好处，适合实际重建。在热声断层扫描，雷达成像等中，在数学模型中需要球形平均ra变换的反转。
In this article we study the spherical mean Radon transform in $\mathbf R^3$ with detectors centered on a plane. We use the consistency method suggested by the author of this article for the inversion of the transform in 3D. A new iterative inversion formula is presented. This formula has the benefit of being local and is suitable for practical reconstructions. The inversion of the spherical mean Radon transform is required in mathematical models in thermo- and photo-acoustic tomography, radar imaging, and others.
