Analysis of gradient flow of a regularized Mumford-Shah functional for image segmentation and image inpainting

DOI10.1051/m2an:2004014zbMath1074.65106OpenAlexW2111261488MaRDI QIDQ5315454

Andreas Prohl, Xiaobing Feng

Publication date: 8 September 2005

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=M2AN_2004__38_2_291_0

zbMATH Keywords

convergencefinite element methoderror analysisgradient flowimage segmentationMumford-Shah modelapriori estimatesellpitic approximation

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) Computing methodologies for image processing (68U10) Nonlinear parabolic equations (35K55) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (4)

Analysis of gradient flow of a regularized Mumford-Shah functional for image segmentation and image inpainting ⋮ Unilateral gradient flow of the Ambrosio-Tortorelli functional by minimizing movements ⋮ Computational parametric Willmore flow ⋮ Massive parallelization of the phase field formulation for crack propagation with time adaptivity

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