Optimal partitions, regularized solutions, and application to image classification

DOI10.1080/0003681042000267920zbMath1207.94004OpenAlexW2059445446WikidataQ58255762 ScholiaQ58255762MaRDI QIDQ4655405

Jean-François Aujol, Gilles Aubert

Publication date: 11 March 2005

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/0003681042000267920

zbMATH Keywords

perturbationimage processingpartial differential equationssets with finite perimeterBV

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Existence theories for free problems in two or more independent variables (49J10) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08)

Related Items

NUMERICAL IMAGING USING NONLINEAR OPTIMISATION, A topological asymptotic analysis for the regularized grey-level image classification problem, Minimal partitions and image classification using a gradient-free perimeter approximation, Topological optimization with the \(p\)-Laplacian operator and an application in image processing

Cites Work

• Unnamed Item
• Unnamed Item
• Esistenza e regolarita delle ipersuperfici di curvatura media assegnata in \(R^n\)
• Geodesic active regions and level set methods for supervised texture segmentation
• A level set model for image classification
• A multiphase level set framework for image segmentation using the Mumford and Shah model
• Solutions généralisées de certaines équations du type hypersurfaces minima
• Wavelet-based level set evolution for classification of textured images
• A Variational Method in Image Recovery
• Active contours without edges
• Local estimates for gradients of solutions of non‐uniformly elliptic and parabolic equations
• Connected components of sets of finite perimeter and applications to image processing