scientific article; zbMATH DE number 1766606

zbMath1015.49010MaRDI QIDQ4538010

Michele Carriero, Antonio Leaci, Franco Tomarelli

Publication date: 11 July 2002

Full work available at URL: http://www.numdam.org/item?id=ASNSP_1997_4_25_1-2_257_0

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

energy functionalintegral functionalimage segmentationlower-semicontinuityMumford-Shah functionalfree discontinuitiesGSBVSBVfree gradient discontinuitiesstrong minimizersBlake \& Zisserman functionalblow-up equation

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Variational problems in a geometric measure-theoretic setting (49Q20) Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items (14)

Generic uniqueness of minimizer for Blake \& Zisserman functional ⋮ A note on Meyers’ Theorem in $W^{k,1}$ ⋮ A Blake-Zisserman-Kirchhoff theory for plates with soft inclusions ⋮ A survey on the Blake-Zisserman functional ⋮ Numerical minimization of a second-order functional for image segmentation ⋮ 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 ⋮ Partial regularity for anisotropic functionals of higher order ⋮ A candidate local minimizer of Blake and Zisserman functional ⋮ Partial regularity for polyconvex functionals depending on the Hessian determinant ⋮ Necessary conditions for extremals of Blake \& Zisserman functional ⋮ Unnamed Item ⋮ Elastic-brittle reinforcement of flexural structures

Cites Work

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• Variational methods in image segmentation with 7 image processing experiments
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• Existence theorem for a minimum problem with free discontinuity set
• On the singular sets of minimizers of the Mumford-Shah functional
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• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
• Weakly Differentiable Functions
• FREE DISCONTINUITY PROBLEMS WITH UNBOUNDED DATA
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