A multigrid finite-difference method for the solution of Euler equations of the variational image segmentation

DOI10.1016/S0168-9274(01)00091-5zbMath0990.65068WikidataQ127586713 ScholiaQ127586713MaRDI QIDQ5953942

Rosa Maria Spitaleri, Daniele Arena, Riccardo March

Publication date: 19 August 2002

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

zbMATH Keywords

algorithmconvergenceEuler equationsfinite-difference approximationimage segmentationMumford-Shah functionalmultigrid computation

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Computing methodologies for image processing (68U10) Newton-type methods (49M15) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (2)

A scientific computing environment for differential field simulation ⋮ On convergent finite difference schemes for variational-PDE-based image processing

Cites Work

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• Variational problems in SBV and image segmentation
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• An introduction to \(\Gamma\)-convergence
• Finite difference solution of Euler equations arising in variational image segmentation
• Existence theorem for a minimum problem with free discontinuity set
• Optimal approximations by piecewise smooth functions and associated variational problems
• Approximation of functional depending on jumps by elliptic functional via t-convergence
• Multi-Level Adaptive Solutions to Boundary-Value Problems
• A multigrid semi-implicit finite difference method for the two-dimensional shallow water equations

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