Convexity preserving scattered data interpolation using Powell-Sabin elements

DOI10.1016/j.cagd.2009.03.003zbMath1205.65057OpenAlexW2070184938MaRDI QIDQ625227

J. M. Carnicer, Juan Manuel Peña, Tim N. T. Goodman

Publication date: 15 February 2011

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

Full work available at URL: https://doi.org/10.1016/j.cagd.2009.03.003

zbMATH Keywords

multivariate interpolationscattered dataconvexity preserving interpolationPowell-Sabin elements

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) Numerical interpolation (65D05) Interpolation in approximation theory (41A05)

Related Items (6)

Smooth bivariate shape-preserving cubic spline approximation ⋮ Nonnegative data interpolation by spherical splines ⋮ Convexity-preserving scattered data interpolation scheme using side-vertex method ⋮ Convexity preserving splines over triangulations ⋮ A novel construction of B-spline-like bases for a family of many knot spline spaces and their application to quasi-interpolation ⋮ On \(C^2\) cubic quasi-interpolating splines and their computation by subdivision via blossoming

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