On the existence of solutions to a problem in multidimensional segmentation

DOI10.1016/S0294-1449(16)30271-2zbMath0729.49003OpenAlexW159255535MaRDI QIDQ806028

Italo Tamanini, Giuseppe Congedo

Publication date: 1991

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_1991__8_2_175_0

zbMATH Keywords

image segmentation in computer visionMinimal boundary problems with free discontinuity

Mathematics Subject Classification ID

Differential games and control (49N70) Existence theories for free problems in two or more independent variables (49J10) Pursuit and evasion games (49N75)

Related Items

Piecewise smooth approximations of functions, Homogenization of free discontinuity problems, The uniqueness as a generic property for some one-dimensional segmentation problems, Variational methods for the selection of solutions to an implicit system of PDE, On the regularity of edges in image segmentation, The interaction between bulk energy and surface energy in multiple integrals, Higher integrability of the gradient for minimizers of the \(2d\) Mumford-Shah energy, Piecewise constant reconstruction of damaged color images, Enhanced Electrical Impedance Tomographyviathe Mumford–Shah Functional, Density theorems for local minimizers of area-type functionals, Homogenization of High-contrast Mumford--Shah Energies, On a Volume Constrained Variational Problem in SBV²(Ω): Part I, Homogenization in BV of a model for layered composites in finite crystal plasticity, Unnamed Item, Nonconvex and nonsmooth total variation regularization method for diffuse optical tomography based on RTE ^*, Optimal segmentation of unbounded functions

Cites Work

• Existence theory for a new class of variational problems
• Functionals defined on partitions in sets of finite perimeter. II: Semicontinuity, relaxation and homogenization
• Density theorems for local minimizers of area-type functionals
• The structure of singularities in soap-bubble-like and soap-film-like minimal surfaces
• Existence theorem for a minimum problem with free discontinuity set
• Optimal approximations by piecewise smooth functions and associated variational problems
• Existence and regularity almost everywhere of solutions to elliptic variational problems with constraints
• Crystalline variational problems
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item