The topological gradient method for semi-linear problems and application to edge detection and noise removal

DOI10.3934/ipi.2016.10.51zbMath1335.35076OpenAlexW2526795988MaRDI QIDQ254781

Gilles Aubert, Audric Drogoul

Publication date: 16 March 2016

Published in: Inverse Problems and Imaging (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/ipi.2016.10.51

zbMATH Keywords

segmentationPoisson noiserestorationsemi-linear problemSpeckle noisetopological gradient

Mathematics Subject Classification ID

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) Sensitivity analysis for optimization problems on manifolds (49Q12) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

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Topological derivatives of shape functionals. II: First-order method and applications, Small obstacle asymptotics for a 2D semi-linear convex problem, Automated image restoration and segmentation using Mumford-Shah-like regularization and topological asymptotic expansion

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