Reconstructions in limited-view thermoacoustic tomography

Reconstructions in limited-view thermoacoustic tomography
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DOI:
10.1118/1.1644531
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发表时间:
2004-04-01
期刊:
影响因子:
3.8
通讯作者:
Kuchment, P
Kuchment, P
中科院分区:
医学3区
文献类型:
--
作者:
Xu, Y;Wang, LV;Kuchment, P

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研究了热声断层扫描的有限视野问题,根据声波感应的辐射类型,热声断层扫描也称为光声或光声断层扫描。我们定义一个“检测区域”,其中所有点都有足够的检测视图。分析解释并数值表明,该区域内任何物体的边界都可以稳定地恢复。否则一些清晰的细节会变得模糊。如果检测视图不足,人们可以提前识别将受到影响的边界部分。如果探测器在二维情况下沿着圆进行扫描,则获取足够的视图可能需要覆盖轨迹的多于 pi 弧或少于 pi 弧,具体取决于物体的位置。类似的结果也适用于三维情况。为了支持我们的理论结论,使用了三种类型的重建方法:滤波反投影(FBP)近似反演,该方法对于有限视图数据效果很好,局部断层扫描型重建强调清晰的细节(例如,夹杂物的边界),以及与 FBP 结合使用的迭代代数截断共轭梯度算法。对数值模拟和实验数据进行计算。重建证实了我们的理论预测。 (C) 2004 年美国医学物理学家协会。
The limited-view problem is studied for thermoacoustic tomography, which is also referred to as photoacoustic or optoacoustic tomography depending on the type of radiation for the induction of acoustic waves. We define a "detection region," within which all points have sufficient detection views. It is explained analytically and shown numerically that the boundaries of any objects inside this region can be recovered stably. Otherwise some sharp details become blurred. One can identify in advance the parts of the boundaries that will be affected if the detection view is insufficient. If the detector scans along a circle in a two-dimensional case, acquiring a sufficient view might require covering more than a pi-, or less than a pi-arc of the trajectory depending on the position of the object. Similar results hold in a three-dimensional case. In order to support our theoretical conclusions, three types of reconstruction methods are utilized: a filtered backprojection (FBP) approximate inversion, which is shown to work well for limited-view data, a local-tomography-type reconstruction that emphasizes sharp details (e.g., the boundaries of inclusions), and an iterative algebraic truncated conjugate gradient algorithm used in conjunction with FBP. Computations are conducted for both numerically simulated and experimental data. The reconstructions confirm our theoretical predictions. (C) 2004 American Association of Physicists in Medicine.