Convergence results for critical points of the one-dimensional Ambrosio-Tortorelli functional with fidelity term

zbMath1190.49048MaRDI QIDQ969246

Nam Q. Le

Publication date: 14 May 2010

Published in: Advances in Differential Equations (Search for Journal in Brave)

zbMATH Keywords

image segmentationMumford-Shah functionalenergy-densityone-dimensional Ambrosio-Tortorelli functional

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Nonlinear elliptic equations (35J60) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Methods involving semicontinuity and convergence; relaxation (49J45) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38)

Related Items (2)

A note on the one-dimensional critical points of the Ambrosio–Tortorelli functional ⋮ Unilateral gradient flow of the Ambrosio-Tortorelli functional by minimizing movements

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