A candidate local minimizer of Blake and Zisserman functional

DOI10.1016/j.matpur.2011.01.005zbMath1218.49029OpenAlexW2092419527MaRDI QIDQ549984

Antonio Leaci, Michele Carriero, Franco Tomarelli

Publication date: 19 July 2011

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/j.matpur.2011.01.005

zbMATH Keywords

calculus of variationsimage segmentationfree discontinuitynecessary conditions for local minimizers

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items (11)

Generic uniqueness of minimizer for Blake \& Zisserman functional ⋮ 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 ⋮ Euler equations for Blake and Zisserman functional ⋮ Free gradient discontinuity and image inpainting ⋮ Corrigendum to: ``A candidate local minimizer of Blake and Zisserman functional ⋮ Unnamed Item ⋮ Elastic-brittle reinforcement of flexural structures

Cites Work

• Uniform density estimates for Blake \& Zisserman functional
• Strong solution for an elastic-plastic plate
• Necessary conditions for extremals of Blake \& Zisserman functional
• Free gradient discontinuity and image inpainting
• Existence theorem for a minimum problem with free discontinuity set
• The calibration method for the Mumford-Shah functional and free-discontinuity problems
• Euler equations for Blake and Zisserman functional
• Variational Approximation of a Second Order Free Discontinuity Problem in Computer Vision
• Optimal approximations by piecewise smooth functions and associated variational problems
• A VARIATIONAL PRINCIPLE FOR PLASTIC HINGES IN A BEAM
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