声衍射层析成像研究进展

在计算机层析成像中用声波或电磁波取代X射线照射目标时波长不能再看作无限小,需要将Fourier切片定理修改为Fourier衍射投影定理,基于射线的CT相应地推广为衍射CT。概述了近年来衍射CT的发展,特别是声衍射CT。在理论和算法方面讨论了非均匀Fourier变换算法及其实现、仅根据强度信息的图像重建方法、多频率入射的情况、不完整测量数据条件下的图像重建等问题。此外还扼要介绍了不同领域中衍射CT的研究和应用情况。

Progress in acoustic diffraction tomography research

In computer tomography (CT), when an acoustic or electromagnetic wave of finite wavelength is used instead of X-ray to illuminate the object, the Fourier slice theorem should be replaced by the Fourier diffraction theorem, leading to diffraction tomography. This article presents a review of the recent development of diffraction tomography, especially acoustic tomography. Issues discussed include algorithms of non-uniform Fourier transform and its fast implementation, image reconstruction based on intensity ...