Variational Approximation of a Second Order Free Discontinuity Problem in Computer Vision

DOI10.1137/S0036141000368326zbMath0996.46014OpenAlexW2058007625MaRDI QIDQ2706229

Riccardo March, Loris Faina, Luigi Ambrosio

Publication date: 19 March 2001

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036141000368326

zbMATH Keywords

Sobolev spacesvariational problemsfunctions of bounded variationelliptic functionalsfree gradient discontinuitiesDe Giorgi \(\Gamma\)-convergencetheory and algorithms for computer vision

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Methods involving semicontinuity and convergence; relaxation (49J45)

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