EXACT SERIES RECONSTRUCTION IN PHOTOACOUSTIC TOMOGRAPHY WITH CIRCULAR INTEGRATING DETECTORS

被引：0
|
作者：
Zangerl, Gerhard [1 ]
Scherzer, Otmar [1 ,2 ]
Haltmeier, Markus [1 ]
机构：
[1] Univ Innsbruck, Dept Math, A-6020 Innsbruck, Austria
[2] Radon Inst Computat & Appl Math, A-4040 Linz, Austria
来源：
COMMUNICATIONS IN MATHEMATICAL SCIENCES | 2009年 / 7卷 / 03期
关键词：
Radon transform; photoacoustic tomography; photoacoustic microscopy; Hankel transform; image reconstruction; integrating detectors; axially symmetric; wave equation; THERMOACOUSTIC TOMOGRAPHY; IN-VIVO; INVERSION; TRANSFORM; PHOTO;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A method for photoacoustic tomography is presented that uses circular integrals of the acoustic wave for the reconstruction of a three-dimensional image. Image reconstruction is a two-step process: In the first step data from a stack of circular integrating detectors are used to reconstruct the circular projection of the source distribution. In the second step the inverse circular Radon transform is applied. In this article we establish inversion formulas for the first step, which involves an inverse problem for the axially symmetric wave equation. Numerical results are presented that show the validity and robustness of the resulting algorithm.
引用
收藏
页码：665 / 678
页数：14
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