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Algebraic filter approach for fast approximation of nonlinear tomographic reconstruction methods

[+] Author Affiliations
Linda Plantagie

Centrum Wiskunde and Informatica, Scientific Computing, Science Park 123, 1098 XG Amsterdam, The Netherlands

Kees Joost Batenburg

Centrum Wiskunde and Informatica, Scientific Computing, Science Park 123, 1098 XG Amsterdam, The Netherlands

University of Antwerp, iMinds-Vision Lab, Universiteitsplein 1, Building N, 2610 Wilrijk, Belgium

Leiden University, Mathematical Institute, Niels Bohrweg 1, 2333 CA Leiden, The Netherlands

J. Electron. Imaging. 24(1), 013026 (Feb 13, 2015). doi:10.1117/1.JEI.24.1.013026
History: Received April 13, 2014; Accepted January 12, 2015
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Abstract.  We present a computational approach for fast approximation of nonlinear tomographic reconstruction methods by filtered backprojection (FBP) methods. Algebraic reconstruction algorithms are the methods of choice in a wide range of tomographic applications, yet they require significant computation time, restricting their usefulness. We build upon recent work on the approximation of linear algebraic reconstruction methods and extend the approach to the approximation of nonlinear reconstruction methods which are common in practice. We demonstrate that if a blueprint image is available that is sufficiently similar to the scanned object, our approach can compute reconstructions that approximate iterative nonlinear methods, yet have the same speed as FBP.

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Citation

Linda Plantagie and Kees Joost Batenburg
"Algebraic filter approach for fast approximation of nonlinear tomographic reconstruction methods", J. Electron. Imaging. 24(1), 013026 (Feb 13, 2015). ; http://dx.doi.org/10.1117/1.JEI.24.1.013026


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