Articles

Linear neural network for the solution of limited angle problems in computer-aided tomography

[+] Author Affiliations
Shun Him Wong, Sze Fong Yau

Hong Kong University of Science and Technology, Department of Electrical and Electronic Engineering, Clear Water Bay, Kowloon, Hong Kong

J. Electron. Imaging. 7(1), 70-78 (Jan 01, 1998). doi:10.1117/1.482652
History: Received Feb. 23, 1997; Revised June 28, 1997; Accepted Aug. 3, 1997
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Abstract

The problem of limited angle tomography in which a complete sinogram is not available is considered. This situation arises in many practical applications where tomographic projection over 180 deg is either physically unrealizable or infeasible. When a complete sinogram is not available, it is well known that the reconstructed images using common reconstruction algorithms, such as convolution back-projection (CBP), will have severe streak artifacts. We present a linear artificial neural network to extrapolate the missing part of the sinogram. Once the complete sinogram is obtained via extrapolation, standard reconstruction techniques such as CBP can be used to generate artifact-free reconstructions. The parameters of the neural network are designed using the sampling theory of signals with noncompact spectral support, the knowledge that complete sinograms have bow-tie-shaped spectral support and regularization. It is found that once designed, these parameters are data independent, especially for images of similar nature. For a sinogram with 2N angular views, each having M raysum per view, if 2L views are available, the computational requirement of the neural network is 4MNL only. The proposed neural network is much more efficient than other iterative algorithms, such as the method of projection onto convex sets; the Papoulis-Gerchberg algorithm; and the Clark-Palmer-Lawrence interpolation method; which requires computations of the order of kMNL, where k is the number of iterations. © 1998 SPIE and IS&T.

© 1998 SPIE and IS&T

Citation

Shun Him Wong and Sze Fong Yau
"Linear neural network for the solution of limited angle problems in computer-aided tomography", J. Electron. Imaging. 7(1), 70-78 (Jan 01, 1998). ; http://dx.doi.org/10.1117/1.482652


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