Toshiba Medical Research Institute USA, Vernon Hills, Illinois 60061, USA.
J Acoust Soc Am. 2009 Dec;126(6):3095-105. doi: 10.1121/1.3238157.
The problem of reconstructing an object's weakly varying compressibility and density distributions in three-dimensional (3D) acoustic diffraction tomography is studied. Based on the Fourier diffraction projection theorem for acoustic media, it is demonstrated that the 3D Fourier components of an object's compressibility and density distributions can be decoupled algebraically, thereby providing a method for separately reconstructing the distributions. This is facilitated by the identification and exploitation of tomographic symmetries and the rotational invariance of the imaging model. The developed reconstruction methods are investigated by use of computer- simulation studies. The application of the proposed image reconstruction strategy to other tomography problems is discussed.
研究了在三维（3D）声波衍射层析成像中重建物体的弱变化压缩率和密度分布的问题。基于声波介质的傅里叶衍射投影定理，证明可以通过代数方法解耦物体的压缩率和密度分布的 3D 傅里叶分量，从而提供了一种分别重建这些分布的方法。这得益于对层析成像对称性和成像模型的旋转不变性的识别和利用。通过计算机模拟研究来研究所开发的重建方法。讨论了所提出的图像重建策略在其他层析成像问题中的应用。
