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.
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December 2009
December 14 2009
Exploitation of symmetries for image reconstruction in linearized variable density diffraction tomography
Daxin Shi;
Daxin Shi
Toshiba Medical Research Institute USA
, Vernon Hills, Illinois 60061
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Mark A. Anastasio
Mark A. Anastasio
a)
Department of Biomedical Engineering, Medical Imaging Research Center,
Illinois Institute of Technology
, Chicago, Illinois 60616
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a)
Author to whom correspondence should be addressed. Electronic mail: [email protected]
J. Acoust. Soc. Am. 126, 3095–3105 (2009)
Article history
Received:
April 15 2009
Accepted:
August 21 2009
Citation
Daxin Shi, Mark A. Anastasio; Exploitation of symmetries for image reconstruction in linearized variable density diffraction tomography. J. Acoust. Soc. Am. 1 December 2009; 126 (6): 3095–3105. https://doi.org/10.1121/1.3238157
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