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首页> 外文会议>Photons Plus Ultrasound: Imaging and Sensing 2007; Progress in Biomedical Optics and Imaging; vol.8 no.14; Proceedings of SPIE-The International Society for Optical Engineering; vol.6437 >Perspectives in Fourier-based image reconstruction in photoacoustic tomography
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Perspectives in Fourier-based image reconstruction in photoacoustic tomography

机译：光声层析成像中基于傅立叶的图像重建的观点

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摘要

Photoacoustic tomography (PAT) is an emerging imaging technique with great potential for a wide range of biomedical imaging applications. The reconstruction problem of PAT is an inverse source problem, in which the photoacoustic source of interest is induced by a probing optical wavefield. In this work, we revisit the PAT reconstruction problem from a Fourier perspective. By use of standard analytic techniques from inverse source theory, we derive a mathematical relationship between the pressure wavefield data function and its normal derivative measured on an arbitrary aperture that encloses the object and the three-dimensional Fourier transform of the optical absorption distribution evaluated on concentric spheres. We refer to this relationship as a "Fourier-shell identity", which is analogous to the well-known Fourier-slice theorem of X-ray tomography. Potential applications of the Fourier-shell identity are identified and discussed.
机译：光声层析成像（PAT）是一种新兴的成像技术，具有广泛的生物医学成像应用潜力。 PAT的重建问题是逆源问题，其中感兴趣的光声源是由探测光波场引起的。在这项工作中，我们从傅立叶的角度重新审视了PAT重建问题。通过使用逆源理论中的标准分析技术，我们得出了压力波场数据函数与其在围绕物体的任意孔径上测量的正态导数之间的数学关系，以及在同心圆上评估的光吸收分布的三维傅里叶变换领域。我们称这种关系为“傅里叶壳身份”，它类似于X射线断层扫描的著名傅里叶切片定理。识别并讨论了傅里叶壳身份的潜在应用。

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