On a functional depending on curvature and edges

zbMath1072.49034MaRDI QIDQ2568711

Carlo Romano Grisanti

Publication date: 19 October 2005

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_2001__105__139_0

zbMATH Keywords

image segmentationMumford-Shah functional

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Variational problems in a geometric measure-theoretic setting (49Q20) Existence theories for free problems in two or more independent variables (49J10) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08)

Related Items (1)

Regular selections for multiple-valued functions

Cites Work

• Curvature varifolds with boundary
• On the first variation of a varifold: Boundary behavior
• Approximation problems for curvature varifolds
• Geometric measure theory.
• On the singular sets of minimizers of the Mumford-Shah functional
• On curvature sensitive image segmentation
• On the first variation of a varifold
• Optimal approximations by piecewise smooth functions and associated variational problems
• Approximation of functional depending on jumps by elliptic functional via t-convergence
• $C^{1} $-Arcs for Minimizers of the Mumford-Shah Functional
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