Numerical Analysis of the Topological Gradient Method for Fourth Order Models and Applications to the Detection of Fine Structures in Imaging

DOI10.1137/140967374zbMath1361.94013OpenAlexW1967670119MaRDI QIDQ5174326

Audric Drogoul

Publication date: 17 February 2015

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

Full work available at URL: https://doi.org/10.1137/140967374

zbMATH Keywords

segmentationrestorationtopological gradientfine structures

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Detection theory in information and communication theory (94A13) Optimization of shapes other than minimal surfaces (49Q10) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Variational methods for higher-order elliptic equations (35J35) Sensitivity analysis for optimization problems on manifolds (49Q12)

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