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首页> 外文期刊>Inverse Problems: An International Journal of Inverse Problems, Inverse Methods and Computerised Inversion of Data >Temporal back-projection algorithms for photoacoustic tomography with integrating line detectors
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Temporal back-projection algorithms for photoacoustic tomography with integrating line detectors

机译:具有集成线检测器的光声层析成像的时间反投影算法

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摘要

Line detectors integrate the measured acoustic pressure over a straight line and can be realized by a thin line of a piezoelectric film or by a laser beam as part of an interferometer. Photoacoustic imaging with integrating line detectors is performed by rotating a sample or the detectors around an axis perpendicular to the line detectors. The subsequent reconstruction is a two-step procedure: first, two-dimensional (2D) projections parallel to the line detector are reconstructed, then the three-dimensional (3D) initial pressure distribution is obtained by applying the 2D inverse Radon transform. The first step involves an inverse problem for the 2D wave equation. Wave propagation in two dimensions is significantly different from 3D wave propagation and reconstruction algorithms from 3D photoacoustic imaging cannot be used directly. By integrating recently established 3D formulae in the direction parallel to the line detector we obtain novel back-projection formulae in two dimensions. Numerical simulations demonstrate the capability of the derived reconstruction algorithms, also for noisy measurement data, limited angle problems and 3D reconstruction with integrating line detectors.
机译:线检测器将测得的声压在一条直线上积分,可以通过压电膜的细线或作为干涉仪一部分的激光束来实现。具有积分线检测器的光声成像是通过使一个或多个样本或检测器绕垂直于线检测器的轴旋转来执行的。随后的重建过程分为两步:首先,重建与线检测器平行的二维(2D)投影,然后通过应用2D逆Radon变换获得三维(3D)初始压力分布。第一步涉及二维波动方程的反问题。二维中的波传播与3D波传播显着不同,并且无法直接使用3D光声成像的重建算法。通过在平行于线检测器的方向上集成最近建立的3D公式,我们获得了二维的新颖反投影公式。数值模拟证明了导出的重构算法的功能,还适用于嘈杂的测量数据,有限角度问题以及带有集成线检测器的3D重构。

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