Hole filling on surfaces by discrete variational splines

DOI10.1016/j.apnum.2011.11.003zbMath1252.65046OpenAlexW2075762218MaRDI QIDQ435986

J. Herrera, H. S. Yoon

Publication date: 13 July 2012

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2011.11.003

zbMATH Keywords

convergencefinite elementsnumerical examplessurfacesfilling holessmoothing variational splines

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18)

Related Items (3)

Dimensions of spline spaces over non-rectangular T-meshes ⋮ Fitting and filling of 3D datasets with volume constraints using radial basis functions under tension ⋮ Reconstruction approximating method by biquadratic splines of offset surfaces holes

Cites Work

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• Filling polygonal holes with minimal energy surfaces on Powell-Sabin type triangulations
• Filling polygonal holes with bicubic patches
• Approximation by discrete variational splines
• Filling polygonal holes using \(C^{1}\) cubic triangular spline patches
• Minimal energy surfaces on Powell-Sabin type triangulations
• Multisided macro-element spaces based on Clough-Tocher triangle splits with applications to hole filling
• Approximation spline de surfaces de type explicite comportant des failles

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