Interpolation with slackness and continuity control and convexity-preservation using singular blending

DOI10.1016/j.cam.2004.02.015zbMath1063.65013OpenAlexW2073745637MaRDI QIDQ704196

Chiew-Lan Tai, Guo-Jin Wang

Publication date: 13 January 2005

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

Full work available at URL: https://doi.org/10.1016/j.cam.2004.02.015

zbMATH Keywords

InterpolationNumerical examplesComputer graphicsContinuity controlConvexity-preservingCubic polynomial spline curvesShape designSingular blendingSlackness controlTension

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Numerical interpolation (65D05) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (5)

New method for distinguishing planar rational cubic B-spline curve segments as monotone curvature variation ⋮ A class of algebraic-trigonometric blended splines ⋮ A control point based curve with two exponential~shape parameters ⋮ Convexity-preserving interpolation of trigonometric polynomial curves with a shape parameter ⋮ On the quartic curve of Han

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• Shape Preserving Interpolation to Convex Data by Rational Functions with Quadratic Numerator and Linear Denominator
• Shape-preserving interpolation in R3

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