Regularization of discrete contour by Willmore energy

DOI10.1007/s10851-010-0257-8zbMath1255.68212OpenAlexW2066653339MaRDI QIDQ1932858

Jacques-Olivier Lachaud, Edouard Oudet, Elie Bretin

Publication date: 22 January 2013

Published in: Journal of Mathematical Imaging and Vision (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10851-010-0257-8

zbMATH Keywords

regularizationdigital geometryconvex geometryWillmore energyphase field reconstruction

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Optimization of shapes other than minimal surfaces (49Q10)

Related Items (8)

Existence, regularity and structure of confined elasticae ⋮ Isotropic image analysis for improving CBR forecasting ⋮ Curvature and torsion dependent energy of elastica and nonelastica for a lightlike curve in the Minkowski space ⋮ A new approach on the energy of elastica and non-elastica in Minkowski space \(E_2^4\) ⋮ Multigrid-convergence of digital curvature estimators ⋮ Volume Reconstruction from Slices ⋮ A New Approach On The Curvature Dependent Energy For Elastic Curves in a Lie Group ⋮ Average-distance problem with curvature penalization for data parameterization: regularity of minimizers

Uses Software

• KNITRO

Cites Work

• Global asymptotic limit of solutions of the Cahn-Hilliard equation
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• Applications of semi-implicit Fourier-spectral method to phase field equations
• A phase field approach in the numerical study of the elastic bending energy for vesicle membranes
• The Willmore boundary problem
• On a modified conjecture of De Giorgi
• A phase field formulation of the Willmore problem
• Mathematical Technique and Physical Conception in Euler's Investigation of the Elastica
• Phase transitions and generalized motion by mean curvature
• Three-dimensional alpha shapes
• Euler's Elastica and Curvature-Based Inpainting
• Robust Estimation of Curvature along Digital Contours with Global Optimization
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