A RELAXATION RESULT FOR AN INHOMOGENEOUS FUNCTIONAL PRESERVING POINT-LIKE AND CURVE-LIKE SINGULARITIES IN IMAGE PROCESSING

DOI10.1142/S0129167X12501200zbMath1258.49011MaRDI QIDQ4908360

Gilles Aubert, Daniele Graziani

Publication date: 5 March 2013

Published in: International Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

image processingconvexityrelaxationLeibniz rulep-capacitydivergence measure fields\(W^{1,p}_{\text{loc}}\)-lower semicontinuity

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Methods involving semicontinuity and convergence; relaxation (49J45) Numerical methods of relaxation type (49M20)

Related Items (1)

Parameter selection in a Mumford-Shah geometrical model for the detection of thin structures

Cites Work

• A remark on Serrin's theorem
• Pairings between measures and bounded functions and compensated compactness
• Sublinear functions of measures and variational integrals
• A Formal $\Gamma$-Convergence Approach for the Detection of Points in 2-D Images

This page was built for publication: A RELAXATION RESULT FOR AN INHOMOGENEOUS FUNCTIONAL PRESERVING POINT-LIKE AND CURVE-LIKE SINGULARITIES IN IMAGE PROCESSING