An algorithm for convexity-preserving surface interpolation

DOI10.1007/BF01578387zbMath0823.65012OpenAlexW2028423723MaRDI QIDQ1891300

Rafhat Iqbal

Publication date: 30 May 1995

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01578387

zbMATH Keywords

performancesurfacemonotonicitynumerical resultsconvexityconvexity-preserving surface interpolationRoulier method

Mathematics Subject Classification ID

Numerical interpolation (65D05) Multidimensional problems (41A63) Interpolation in approximation theory (41A05) Approximation with constraints (41A29) Algorithms for approximation of functions (65D15)

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Uses Software

• pchip

Cites Work

• An algorithm for computing shape-preserving interpolating splines of arbitrary degree
• A one-pass algorithm for shape-preserving quadratic spline interpolation
• Shape-Preserving Bivariate Interpolation
• On Shape Preserving Quadratic Spline Interpolation
• Monotone Piecewise Bicubic Interpolation
• A Method for Constructing Local Monotone Piecewise Cubic Interpolants
• Monotonicity Preserving Surface Interpolation
• Co-Monotone Interpolating Splines of Arbitrary Degree—a Local Approach
• An Algorithm for Monotone Piecewise Bicubic Interpolation
• Monotone Piecewise Cubic Interpolation
• An Algorithm for Computing a Shape-Preserving Osculatory Quadratic Spline
• Accurate $C^2$ Rational Interpolants in Tension
• On Monotone and Convex Spline Interpolation