AN IMAGE SEGMENTATION VARIATIONAL MODEL WITH FREE DISCONTINUITIES AND CONTOUR CURVATURE

DOI10.1142/S0218202504003143zbMath1044.49009MaRDI QIDQ3043599

Riccardo March, Giovanni Bellettini

Publication date: 6 August 2004

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

computer visionimage segmentation\(\Gamma\)-convergenceMumford-Shah functionalAmbrosio-Tortorelli functionalBVSBVrelaxation of functionals

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Variational problems in a geometric measure-theoretic setting (49Q20) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Methods involving semicontinuity and convergence; relaxation (49J45)

Related Items (8)

Steklov Eigenproblems and the Representation of Solutions of Elliptic Boundary Value Problems ⋮ A cortical based model of perceptual completion in the roto-translation space ⋮ Total roto-translational variation ⋮ A variational model in image processing with focal points ⋮ SNAPPING ELASTIC CURVES AS A ONE-DIMENSIONAL ANALOGUE OF TWO-COMPONENT LIPID BILAYERS ⋮ On screening induced fluctuations in Ostwald ripening ⋮ On first-order corrections to the LSW theory. II: Finite systems ⋮ Screening in interacting particle systems

Cites Work

• Unnamed Item
• Gradient theory of phase transitions with boundary contact energy
• On curvature sensitive image segmentation
• Optimal approximations by piecewise smooth functions and associated variational problems
• Approximation of functional depending on jumps by elliptic functional via t-convergence
• Continuity of neumann linear elliptic problems on varying two—dimensional bounded open sets

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