Euler equations for Blake and Zisserman functional

DOI10.1007/s00526-007-0129-2zbMath1138.49021OpenAlexW2011825544MaRDI QIDQ2478177

Franco Tomarelli, Michele Carriero, Antonio Leaci

Publication date: 14 March 2008

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-007-0129-2

zbMATH Keywords

necessary conditionsimage segmentationvisual reconstruction

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Methods involving semicontinuity and convergence; relaxation (49J45) Optimality conditions for free problems in two or more independent variables (49K10)

Related Items (12)

Generic uniqueness of minimizer for Blake \& Zisserman functional ⋮ Fractional Sobolev spaces and functions of bounded variation of one variable ⋮ A survey on the Blake-Zisserman functional ⋮ Numerical minimization of a second-order functional for image segmentation ⋮ Symmetrized fractional total variation for signal and image analysis ⋮ Unnamed Item ⋮ An Algorithm for Second Order Mumford--Shah Models Based on a Taylor Jet Formulation ⋮ Free gradient discontinuity and image inpainting ⋮ A candidate local minimizer of Blake and Zisserman functional ⋮ Corrigendum to: ``A candidate local minimizer of Blake and Zisserman functional ⋮ Unnamed Item ⋮ Elastic-brittle reinforcement of flexural structures

Cites Work

• A candidate local minimizer of Blake and Zisserman functional
• Variational methods in image segmentation with 7 image processing experiments
• Necessary conditions for extremals of Blake \& Zisserman functional
• Existence theorem for a minimum problem with free discontinuity set
• Variational Approximation of a Second Order Free Discontinuity Problem in Computer Vision
• Optimal approximations by piecewise smooth functions and associated variational problems
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
• ON HESSIAN MATRICES IN THE SPACE BH
• Problèmes aux limites en théorie des distributions
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