A method to convexify functions via curve evolution

DOI10.1080/03605309908821476zbMath0935.35087OpenAlexW2051574785MaRDI QIDQ4264569

Luminita A. Vese

Publication date: 5 December 1999

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309908821476

zbMATH Keywords

viscosity solutionsconvex envelopefinite differences scheme

Mathematics Subject Classification ID

Related Items (12)

From the Kähler-Ricci flow to moving free boundaries and shocks ⋮ COMPUTING THE CONVEX ENVELOPE USING A NONLINEAR PARTIAL DIFFERENTIAL EQUATION ⋮ Computing the level set convex hull ⋮ An iterated projection approach to variational problems under generalized convexity constraints ⋮ A smoothing method of global optimization that preserves global minima ⋮ Segmentation under geometrical conditions using geodesic active contours and interpolation using level set methods ⋮ A uniqueness result for the quasiconvex operator and first order PDEs for convex envelopes ⋮ A note on global optimization via the heat diffusion equation ⋮ The Dirichlet problem for the convex envelope ⋮ The convex envelope is the solution of a nonlinear obstacle problem ⋮ A Doubly Graduated Method for Inference in Markov Random Field ⋮ Variational methods on the space of functions of bounded Hessian for convexification and denoising

Cites Work

• Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
• Convex viscosity solutions and state constraints
• Feature-Oriented Image Enhancement Using Shock Filters
• High-Order Essentially Nonoscillatory Schemes for Hamilton–Jacobi Equations
• User’s guide to viscosity solutions of second order partial differential equations
• Front Propagation and Phase Field Theory

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