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

DOI10.1137/08071380XzbMath1177.65200OpenAlexW4234776850MaRDI QIDQ3183370

Kevin R. O'Reilly, Thomas J. Asaki, Rachael L. Pingel, Mark A. Abramson, John E. jun. Dennis

Publication date: 19 October 2009

Published in: SIAM Journal on Imaging Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/08071380x

zbMATH Keywords

numerical resultsderivative-free optimizationX-ray tomographyAbel transformsobject reconstructionradiographmixed variable optimizationmesh adaptive direct search algorithms

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Derivative-free methods and methods using generalized derivatives (90C56) Biomedical imaging and signal processing (92C55) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Numerical methods for integral transforms (65R10) Numerical methods for inverse problems for integral equations (65R32) Inverse problems for integral equations (45Q05)

Related Items (6)

Random derivative-free algorithm for solving unconstrained or bound constrained continuously differentiable non-linear problems ⋮ Global optimization advances in mixed-integer nonlinear programming, MINLP, and constrained derivative-free optimization, CDFO ⋮ Derivative-free optimization: a review of algorithms and comparison of software implementations ⋮ Quantitative Abel tomography robust to noisy, corrupted and missing data ⋮ A fast algorithm for the inversion of Abel's transform ⋮ Bayesian Abel Inversion in Quantitative X-Ray Radiography

Uses Software

• Matlab
• NOMADm

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