Topological gradient for fourth-order PDE and application to the detection of fine structures in 2D images

DOI10.1016/J.CRMA.2014.06.005zbMath1343.94001OpenAlexW1985775702MaRDI QIDQ404420

Audric Drogoul, Gilles Aubert

Publication date: 4 September 2014

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2014.06.005

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Variational methods applied to PDEs (35A15) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Asymptotic expansions of solutions to PDEs (35C20)

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Cites Work

• Topological gradient for fourth-order PDE and application to the detection of fine structures in 2D images
• Application of the topological gradient to image restoration and edge detection
• Topological asymptotic analysis of the Kirchhoff plate bending problem
• Nonconforming tetrahedral finite elements for fourth order elliptic equations
• On the Topological Derivative in Shape Optimization
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