Piecewise linear interpolants to Lagrange and Hermite convex scattered data

DOI10.1007/BF02207700zbMath0870.65004OpenAlexW2052911522MaRDI QIDQ676935

J. M. Carnicer, Michael S. Floater

Publication date: 17 September 1997

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02207700

zbMATH Keywords

Lagrange interpolationpiecewise linear interpolationHermite interpolationscattered data interpolation

Mathematics Subject Classification ID

Numerical interpolation (65D05) Interpolation in approximation theory (41A05)

Related Items (8)

Convexity preserving scattered data interpolation using Powell-Sabin elements ⋮ Contractivity of Runge--Kutta Methods for Convex Gradient Systems ⋮ Fitting piecewise linear continuous functions ⋮ Convexity preserving \(C^0\) splines ⋮ Modeling disjunctive constraints with a logarithmic number of binary variables and constraints ⋮ Convexity preserving splines over triangulations ⋮ Monotonicity preserving approximation of multivariate scattered data ⋮ Adaptive thinning for bivariate scattered data

Cites Work

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• The complexity of interpolating given data in three space with a convex function of two variables
• Voronoi diagrams and arrangements
• Convexity preserving interpolation and Powell-Sabin elements
• Interpolation of convex scattered data in \(R^ 3\) based upon an edge convex minimum norm network
• Multivariate convexity preserving interpolation by smooth functions
• Convex Analysis

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