New cubic rational basis with tension shape parameters

DOI10.1007/s11766-015-3232-8zbMath1349.65068OpenAlexW2298892065MaRDI QIDQ530723

Publication date: 10 August 2016

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-015-3232-8

zbMATH Keywords

Bernstein basis Said-Ball basis B-spline basis Bernstein-Bezier basis tension shape parameter totally positive property

Mathematics Subject Classification ID

Numerical computation using splines (65D07)

Related Items (4)

A class of blending functions with \(C^{\infty}\) smoothness ⋮ New trigonometric basis possessing denominator shape parameters ⋮ A class of trigonometric Bernstein-type basis functions with four shape parameters ⋮ Trigonometric B

Cites Work

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An extension of the Bézier model
A control point based curve with two exponential~shape parameters
Polynomial cubic splines with tension properties
The computer graphics manual. 2 Volumes
On a general new class of quasi Chebyshevian splines
Curve construction based on five trigonometric blending functions
On a new criterion to decide whether a spline space can be used for design
A locally controllable spline with tension for interactive curve design
Shape preserving properties of the generalised Ball basis
Chebyshev spaces and Bernstein bases
A class of \({\alpha}{\beta}{\gamma}\)-Bernstein-Bézier basis functions over triangular domain
A geometric approach for Hermite subdivision
New spline spaces with generalized tension properties
Properties of generalized Ball curves and surfaces
Blossoms and optimal bases
Critical length for design purposes and extended Chebyshev spaces
Variable degree polynomial splines are Chebyshev splines
On discrete hyperbolic tension splines
Curve and surface construction using variable degree polynomial splines
An extension of Bernstein-Bézier surface over the triangular domain
Geometric construction of spline curves with tension properties
Curves and surfaces construction based on new basis with exponential functions
Curve construction based on four \(\alpha \beta\)-Bernstein-like basis functions
On a class of weak Tchebycheff systems
A rational cubic spline with tension
Curve and surface construction using Hermite subdivision schemes
Convexity-Preserving Piecewise Rational Quartic Interpolation
Local Control of Bias and Tension in Beta-splines
Bézier curves and surfaces with shape parameters
Quasi-Chebyshev splines with connection matrices: Application to variable degree polynomial splines

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