期刊
INVERSE PROBLEMS AND IMAGING
卷 6, 期 1, 页码 111-131出版社
AMER INST MATHEMATICAL SCIENCES
DOI: 10.3934/ipi.2012.6.111
关键词
Radon transform; spherical means; thermoacoustic tomography; fast algorithms; integrating detectors
资金
- NSF [DMS-090824]
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [0908243] Funding Source: National Science Foundation
We propose three fast algorithms for solving the inverse problem of the thermoacoustic tomography corresponding to certain acquisition geometries. Two of these methods are designed to process the measurements done with point-like detectors placed on a circle (in 2D) or a sphere (in 3D) surrounding the object of interest. The third inversion algorithm works with the data measured by the integrating line detectors arranged in a cylindrical assembly rotating around the object. The number of operations required by these techniques is equal to O(n(3) log n) and 0(n(3) log(2) n) for the 3D techniques (assuming the reconstruction grid with n(3) nodes) and to O(n(2) log n) for the 2D problem with n x n discretizetion grid. Numerical simulations show that on large computational grids our methods are at least two orders of magnitude faster than the finite-difference time reversal techniques. The results of reconstructions from real measurements done by the integrating line detectors are also presented, to demonstrate the practicality of our algorithms.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据