Adaptive quasi-interpolating quartic splines

DOI10.1007/s00607-009-0061-8zbMath1176.65012OpenAlexW2025802270MaRDI QIDQ1034761

Gerd Reis, Martin Hering-Bertram, Frank Zeilfelder

Publication date: 6 November 2009

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00607-009-0061-8

zbMATH Keywords

numerical examplesmodeling of surfacesterrain modelingadaptive pseudo-regular triangle mesheshigh-quality spline surfacesquartic spline constructionquasi-interpolating schemevarying geometric complexity

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Computer science aspects of computer-aided design (68U07) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items

Quasi-interpolation by \(C^1\) quartic splines on type-1 triangulations ⋮ \(C^1\)-quartic butterfly-spline interpolation on type-1 triangulations

Cites Work

• Scattered data fitting by direct extension of local polynomials to bivariate splines
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• Optimal Lagrange interpolation by quartic \(C^1\) splines on triangulations
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• Developments in bivarite spline interpolation
• Bézier and B-spline techniques
• A sharp upper bound on the approximation order of smooth bivariate pp functions
• Local quasi-interpolation by cubic C1 splines on type-6 tetrahedral partitions
• An Explicit Basis for $C^1 $ Quartic Bivariate Splines
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