ON EXPLICIT SOLUTIONS FOR THE PROBLEM OF MUMFORD AND SHAH

DOI10.1142/S0219199799000092zbMath0953.49022MaRDI QIDQ4946772

Didier Smets, Thierry De Pauw

Publication date: 23 January 2001

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

zbMATH Keywords

image segmentationMumford-Shah functionalsymmetry of solutions

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Variational problems in a geometric measure-theoretic setting (49Q20) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Methods involving semicontinuity and convergence; relaxation (49J45) Optimality conditions for free problems in two or more independent variables (49K10)

Related Items (3)

The calibration method for the thermal insulation functional ⋮ Unnamed Item ⋮ A selective review on Mumford-Shah minimizers

Cites Work

• A variational method in image segmentation: Existence and approximation results
• On the regularity of edges in image segmentation
• Optimal approximations by piecewise smooth functions and associated variational problems

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