Thermoacoustic tomography and the circular radon transform: Exact inversion formula
Thermoacoustic tomography and the circular radon transform: Exact inversion formula
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DOI：
10.1142/s0218202507002054
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发表时间：
2007-04-01
影响因子：
3.5
通讯作者：
Paltauf, Guenther
中科院分区：
文献类型：
--
作者：
Haltmeier, Markus;Scherzer, Otmar;Paltauf, Guenther
热声计算机断层成像（TACT）是一种新兴的混合成像方法，用于无创医学诊断和生物探针的全三维可视化。在该模态内，电磁照明用于在感兴趣的对象内感生声波。在本文中，我们假设一个圆柱形阵列的线探测器被用来记录的声学数据。这导致了圆形Radon变换求逆的数学问题。圆形Radon变换出现在其他几种最新的成像方式中，例如雷达成像或超声断层扫描。本文证明了一个新的稳定公式，用于恢复一个平面函数的圆形Radon变换。我们应用这个公式得到一个精确的三维成像算法TACT。从真实的和合成数据的数值重建证明了我们的算法的潜力和鲁棒性。
Thermoacoustic computed tomography ( TACT) is an emerging hybrid imaging method for non- invasive medical diagnosis and fully three- dimensional visualization of biological probes. Within this modality electromagnetic illumination is used to induce acoustic waves inside an object of interest. In this paper, we assume that a cylindrical array of line detectors is used to record the acoustical data. This leads to the mathematical problem of inverting the circular Radon transform.The circular Radon transform arises in several other up- to- date imaging modalities, such as RADAR imaging or ultrasound tomography. In this paper we prove a novel stable formula for recovering a planar function from its circular Radon transform. We apply this formula to obtain an exact three- dimensional imaging algorithm for TACT. Numerical reconstructions from real and synthetic data demonstrate the potential and robustness of our algorithm.