Range restricted scattered data interpolation using convex combination of cubic Bézier triangles

DOI10.1016/S0377-0427(00)00580-XzbMath0990.65012OpenAlexW2059086209MaRDI QIDQ5948571

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Publication date: 18 July 2002

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(00)00580-x

zbMATH Keywords

numerical examplesscattered datacubic Bézier trianglerange restricted interpolation

Mathematics Subject Classification ID

Numerical interpolation (65D05)

Related Items (14)

Nonnegative data interpolation by spherical splines ⋮ Constrained interpolation with rational cubics ⋮ A class of \(C^1\) rational interpolation splines in one and two dimensions with region control ⋮ Scattered data interpolation with nonnegative preservation using bivariate splines and its application ⋮ \(C^2\) interpolation with range restriction ⋮ Positivity-preserving scattered data interpolation scheme using the side-vertex method ⋮ Univariate range-restricted \(C^2\) interpolation algorithms ⋮ Nonnegativity preserving macro-element interpolation of scattered data ⋮ \(C^{1}\) positivity preserving scattered data interpolation using rational Bernstein-Bézier triangular patch ⋮ \(C^{1}\) positive scattered data interpolation ⋮ A \(C^{1}\)-rational spline in range restricted interpolation of scattered data ⋮ \(C^2\) rational interpolation splines with region control and image interpolation application ⋮ Construction of new cubic Bézier-like triangular patches with application in scattered data interpolation ⋮ Spatially varying coefficient models with sign preservation of the coefficient functions

Cites Work

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• A local algorithm for constructing non-negative cubic splines
• The derivation of cubic splines with obstacles by methods of optimization and optimal control
• Positivity of cubic polynomials on intervals and positive spline interpolation
• Non-negative exponential splines
• Positive interpolation with rational splines
• Powell-Sabin splines in range restricted interpolation of scattered data
• Local derivative estimation for scattered data interpolation
• Scattered data interpolation subject to piecewise quadratic range restrictions
• On copositive matrices
• Positive Hermite Interpolation by Quadratic Splines

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