New trigonometric basis possessing denominator shape parameters

DOI10.1155/2018/9569834zbMath1427.65024OpenAlexW2898096247WikidataQ129030983 ScholiaQ129030983MaRDI QIDQ1721692

Xianqiang Yang

Publication date: 8 February 2019

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2018/9569834

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (4)

Curve construction based on quartic Bernstein-like basis ⋮ New rational cubic trigonometric B-spline curves with two shape parameters ⋮ A class of trigonometric Bernstein-type basis functions with four shape parameters ⋮ New cubic trigonometric Bézier-like functions with shape parameter: curvature and its spiral segment

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A practical method for generating trigonometric polynomial surfaces over triangular domains
• An extension of the Bézier model
• A control point based curve with two exponential~shape parameters
• New cubic rational basis with tension shape parameters
• Polynomial cubic splines with tension properties
• The computer graphics manual. 2 Volumes
• On a general new class of quasi Chebyshevian splines
• Generalized B-splines as a tool in isogeometric analysis
• Totally positive bases for shape preserving curve design and optimality of B-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
• Chebyshev spaces and Bernstein bases
• Quasi-Bernstein-Bézier polynomials over triangular domain with multiple shape parameters
• Which spaces for design?
• A geometric approach for Hermite subdivision
• New spline spaces with generalized tension properties
• The cubic trigonometric Bézier curve with two shape parameters
• C-curves: An extension of cubic curves
• Blossoms and optimal bases
• Critical length for design purposes and extended Chebyshev spaces
• Variable degree polynomial splines are Chebyshev 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
• Cubic trigonometric polynomial curves with a shape parameter
• Curves and surfaces construction based on new basis with exponential functions
• Curve construction based on four \(\alpha \beta\)-Bernstein-like basis functions
• A quasi-interpolation scheme for periodic data based on multiquadric trigonometric B-splines
• Quadratic trigonometric polynomial curves concerning local control
• A rational cubic spline with tension
• Curve and surface construction using Hermite subdivision schemes
• New Trigonometric Basis Possessing Exponential Shape Parameters
• Convexity-Preserving Piecewise Rational Quartic Interpolation
• Local Control of Bias and Tension in Beta-splines
• Quasi-Chebyshev splines with connection matrices: Application to variable degree polynomial splines

This page was built for publication: New trigonometric basis possessing denominator shape parameters