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SPECIAL SECTION ON IMAGING THROUGH SCATTERING MEDIA

Image reconstruction in optical tomography using local basis functions

[+] Author Affiliations
Martin Schweiger, Simon R. Arridge

University College London, Department of Computer Science, Gower Street, London WC1E 6BT, United Kingdom

J. Electron. Imaging. 12(4), 583-593 (Oct 01, 2003). doi:10.1117/1.1586919
History: Received Oct. 1, 2002; Revised Apr. 11, 2003; Accepted Apr. 11, 2003; Online October 22, 2003
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We demonstrate the effect of representing the solution of a reconstruction as a linear expansion of local basis functions, i.e., functions that have limited support over the domain. Local basis functions are computationally efficient because they lead to linear systems that are sparse. We present two different types of local basis functions: piecewise polynomial regular and irregular functions, and radially symmetric functions on a regular grid (blobs). We demonstrate that the use of higher order polynomial basis functions as well as radially symmetric functions with appropriate choice of shape parameters can reduce the image artifact present in low-order polynomial bases. © 2003 SPIE and IS&T.

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© 2003 SPIE and IS&T

Citation

Martin Schweiger and Simon R. Arridge
"Image reconstruction in optical tomography using local basis functions", J. Electron. Imaging. 12(4), 583-593 (Oct 01, 2003). ; http://dx.doi.org/10.1117/1.1586919


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