Shape Reconstruction with A Priori Knowledge Based on Integral Invariants

DOI10.1137/110824735zbMath1250.65152OpenAlexW2123617834MaRDI QIDQ2912291

Thomas Fidler, Markus Grasmair, Otmar Scherzer

Publication date: 14 September 2012

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

Full work available at URL: https://semanticscholar.org/paper/8f2369f1d0117140100fe98d0b32c9502187861e

zbMATH Keywords

Radon transformshape optimizationTikhonov regularizationintegral invariants\(\Gamma\)-convergenceill-posed inverse problemsshape invariants

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Radon transform (44A12) Numerical methods for integral transforms (65R10) Optimization of shapes other than minimal surfaces (49Q10) Numerical methods for ill-posed problems for integral equations (65R30) Numerical methods for inverse problems for integral equations (65R32)

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