Filling polygonal holes using \(C^{1}\) cubic triangular spline patches

DOI10.1016/S0167-8396(00)00005-4zbMath0938.68122OpenAlexW1976222336MaRDI QIDQ1978685

Ming-Jun Lai, Charles K. Chui

Publication date: 4 June 2000

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-8396(00)00005-4

zbMATH Keywords

minimal energy methodpolygonal holestriangular splines

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05)

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Dimensions of spline spaces over non-rectangular T-meshes ⋮ Hole-filling techniques by using minimal energy surfaces ⋮ Hole filling on surfaces by discrete variational splines ⋮ Minimal energy spherical splines on Clough-Tocher triangulations for Hermite interpolation ⋮ Filling holes with geometric and volumetric constraints ⋮ Filling holes with shape preserving conditions ⋮ A hole filling method for explicit and parametric surfaces by using \(\mathcal{C}^1\)-Powell Sabin splines ⋮ Filling holes using a mesh of filled curves ⋮ Filling polygonal holes with minimal energy surfaces on Powell-Sabin type triangulations ⋮ A hole filling method for surfaces by using \(\mathcal C^1\)-Powell-Sabin splines. Estimation of the smoothing parameters ⋮ An MRA approach to surface completion and image inpainting ⋮ Multisided macro-element spaces based on Clough-Tocher triangle splits with applications to hole filling ⋮ Experimental results on quadrangulations of sets of fixed points

Uses Software

• Matlab