Fast iterative algorithms for solving the minimization of curvature-related functionals in surface fairing

DOI10.1080/00207160.2012.720370zbMath1280.65022OpenAlexW2017088210WikidataQ58866731 ScholiaQ58866731MaRDI QIDQ2868159

Ke Chen, Carlos Brito-Loeza

Publication date: 23 December 2013

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160.2012.720370

zbMATH Keywords

algorithminverse problemnumerical experimentsmean curvaturesurface fairingvariational modelsfourth-order PDEiterative solution techniquessurface processingGaussian curvature model

Mathematics Subject Classification ID

Related Items (4)

An Operator-Splitting Method for the Gaussian Curvature Regularization Model with Applications to Surface Smoothing and Imaging ⋮ Super-resolution surface reconstruction from few low-resolution slices ⋮ Image denoising using the Gaussian curvature of the image surface ⋮ Introduction to variational image-processing models and applications

Cites Work

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• A level set formulation for Willmore flow
• Curvature formulas for implicit curves and surfaces
• Image Denoising Using Mean Curvature of Image Surface
• A Fourth-Order Variational Image Registration Model and Its Fast Multigrid Algorithm
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• Analogue of the Total Variation Denoising Model in the Context of Geometry Processing
• Filling-in by joint interpolation of vector fields and gray levels
• Euler's Elastica and Curvature-Based Inpainting
• Numerical Methods forp-Harmonic Flows and Applications to Image Processing
• Multigrid Algorithm for High Order Denoising
• Geometric fairing of irregular meshes for free-form surface design

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