Polynomial cubic splines with tension properties

DOI10.1016/j.cagd.2010.06.007zbMath1205.65048OpenAlexW2131903073MaRDI QIDQ625136

P. D. Kaklis, Carla Manni, Paolo Giuseppe Costantini

Publication date: 15 February 2011

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

Full work available at URL: https://strathprints.strath.ac.uk/45028/

zbMATH Keywords

subdivision schemesrational functionspolynomial splinesshape preservationtension property

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Spline approximation (41A15)

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Cites Work

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• Convexity-preserving interpolatory parametric splines of non-uniform polynomial degree
• A geometric approach for Hermite subdivision
• A family of Hermite interpolants by bisection algorithms
• Bernstein-type bases and corner cutting algorithms for \(C^1\) Merrien's curves
• Curve and surface construction using variable degree polynomial splines
• Exponential spline interpolation
• On a class of weak Tchebycheff systems
• Curve and surface construction using Hermite subdivision schemes
• Convexity-Preserving Polynomial Splines of Non-uniform Degree
• Shape Preserving Piecewise Rational Interpolation
• Shape Preserving Interpolation to Convex Data by Rational Functions with Quadratic Numerator and Linear Denominator
• An Interpolation Curve Using a Spline in Tension
• Blossoming beyond extended Chebyshev spaces