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SIAMIS
2008

Quantitative Object Reconstruction Using Abel Transform X-Ray Tomography and Mixed Variable Optimization

13 years 3 months ago
Quantitative Object Reconstruction Using Abel Transform X-Ray Tomography and Mixed Variable Optimization
This paper introduces a new approach to the problem of quantitative reconstruction of an object from few radiographic views. A mixed variable programming problem is formulated in which the variables of interest are the number and types of materials and geometric parameters. To demonstrate the technique, we considered the problem of reconstructing cylindrically symmetric objects of multiple layers from a single radiograph. The mixed variable pattern search (MVPS) algorithm for linearly constrained problems was applied by means of the NOMADm MATLAB software package. Numerical results are presented for several test configurations and show that, while there are difficulties yet to be overcome, the method is promising for solving this class of problems. Key words: Mixed variable optimization, derivative-free optimization, mesh adaptive direct search (MADS) algorithms, x-ray tomography, Abel transforms AMS 65K05, 65R32, 65R10, 90C30, 90C56
Mark A. Abramson, Thomas J. Asaki, J. E. Dennis, K
Added 14 Dec 2010
Updated 14 Dec 2010
Type Journal
Year 2008
Where SIAMIS
Authors Mark A. Abramson, Thomas J. Asaki, J. E. Dennis, Kevin R. O'Reilly, Rachael L. Pingel
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