Partial differential equations and mathematical morphology

DOI10.1016/S0021-7824(01)80003-9zbMath0920.35040OpenAlexW2063703787MaRDI QIDQ1277403

Frédéric Cao

Publication date: 1 September 1999

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0021-7824(01)80003-9

zbMATH Keywords

viscosity solutionsscale spacemorphological operatorsmean curvature motionstructuring elements

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Nonlinear higher-order PDEs (35G20)

Related Items

Approximation of viscosity solution by morphological filters, A $D_E[0,1$ representation of random upper semicontinuous functions], APPROXIMATION OF THE ANISOTROPIC MEAN CURVATURE FLOW, On the approximation of front propagation problems with nonlocal terms, The use of size functions for comparison of shapes through differential invariants, Does median filtering truly preserve edges better than linear filtering?

Cites Work

• The structure of images
• Motion of level sets by mean curvature. I
• Diffusion-generated motion by mean curvature for filaments
• User’s guide to viscosity solutions of second order partial differential equations
• A Simple Proof of Convergence for an Approximation Scheme for Computing Motions by Mean Curvature
• A Morphological Scheme for Mean Curvature Motion and Applications to Anisotropic Diffusion and Motion of Level Sets
• Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations
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