Variable degree polynomial splines are Chebyshev splines

DOI10.1007/s10444-011-9242-zzbMath1268.41022OpenAlexW2017780438MaRDI QIDQ1946519

Tina Bosner, Mladen Rogina

Publication date: 15 April 2013

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10444-011-9242-z

zbMATH Keywords

total positivityvariable degree polynomial splinescanonical complete Chebyshev system

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Best approximation, Chebyshev systems (41A50) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (14)

A class of blending functions with \(C^{\infty}\) smoothness ⋮ NURBS or not NURBS? ⋮ Design with quasi extended Chebyshev piecewise spaces ⋮ A shape-preserving approximation by weighted cubic splines ⋮ On a general new class of quasi Chebyshevian splines ⋮ New trigonometric basis possessing denominator shape parameters ⋮ A control point based curve with two exponential~shape parameters ⋮ Quadratic convergence of approximations by CCC-Schoenberg operators ⋮ New cubic rational basis with tension shape parameters ⋮ Curve construction based on four \(\alpha \beta\)-Bernstein-like basis functions ⋮ A Tchebycheffian Extension of Multidegree B-Splines: Algorithmic Computation and Properties ⋮ A class of trigonometric Bernstein-type basis functions with four shape parameters ⋮ Application of CCC-Schoenberg operators on image resampling ⋮ A Novel Recursive Modification Framework for Enhancing Polynomial Reproduction Property of Interpolation Basis Functions

Cites Work

• Quasi extended Chebyshev spaces and weight functions
• Polynomial cubic splines with tension properties
• On a general new class of quasi Chebyshevian splines
• New spline spaces with generalized tension properties
• On Tschebycheffian spline functions
• Piecewise smooth spaces in duality: Application to blossoming
• Blossoms and optimal bases
• Blossoming stories
• Non-uniform exponential tension splines
• Towards existence of piecewise Chebyshevian B-spline bases
• On a class of weak Tchebycheff systems
• Convexity-Preserving Polynomial Splines of Non-uniform Degree
• PROPERTIES AND APPLICATIONS OF NEW POLYNOMIAL SPACES
• Blossoming beyond extended Chebyshev spaces
• Quasi-Chebyshev splines with connection matrices: Application to variable degree polynomial splines
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Variable degree polynomial splines are Chebyshev splines