Density lower bound estimates for local minimizers of the \(2d\) Mumford-Shah energy

DOI10.1007/S00229-012-0601-YzbMath1273.49008OpenAlexW2053295507MaRDI QIDQ361845

Camillo De Lellis, Matteo Focardi

Publication date: 19 August 2013

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-012-0601-y

zbMATH Keywords

local minimizerdensity lower boundMumford-Shah energy

Mathematics Subject Classification ID

Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (5)

Existence of minimizers for the \(2d\) stationary Griffith fracture model ⋮ Higher integrability of the gradient for minimizers of the \(2d\) Mumford-Shah energy ⋮ A survey on the Blake-Zisserman functional ⋮ Existence of strong minimizers for the Griffith static fracture model in dimension two ⋮ A selective review on Mumford-Shah minimizers

Cites Work

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• FRACTURE MECHANICS IN PERFORATED DOMAINS: A VARIATIONAL MODEL FOR BRITTLE POROUS MEDIA
• $C^{1} $-Arcs for Minimizers of the Mumford-Shah Functional
• Connected components of sets of finite perimeter and applications to image processing

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