A general class of Bernstein-like bases
From MaRDI portal
Publication:2519642
DOI10.1016/j.camwa.2006.12.018zbMath1152.65408OpenAlexW2096736215MaRDI QIDQ2519642
Juan Manuel Peña, Esmeralda Mainar
Publication date: 27 January 2009
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2006.12.018
splinesextended Chebyshev spacesshape preserving representationstrigonometric and hyperbolic functionsevaluation and subdivision algorithms
Computer science aspects of computer-aided design (68U07) Best approximation, Chebyshev systems (41A50) Computer-aided design (modeling of curves and surfaces) (65D17)
Related Items (22)
Construction and Evaluation of Pythagorean Hodograph Curves in Exponential-Polynomial Spaces ⋮ Bivariate \(S\)-\(\lambda\) bases and \(S\)-\(\lambda\) surface patches ⋮ Interpolation mixing hyperbolic functions and polynomials ⋮ Monotonicity preserving representations of non-polynomial surfaces ⋮ Mixed hyperbolic/trigonometric spaces for design ⋮ Design with L-splines ⋮ Standard and Non-standard CAGD Tools for Isogeometric Analysis: A Tutorial ⋮ Normalized B-basis of the space of trigonometric polynomials and curve design ⋮ Curves and surfaces construction based on new basis with exponential functions ⋮ On a general new class of quasi Chebyshevian splines ⋮ A control point based curve with two exponential~shape parameters ⋮ Triangular domain extension of algebraic trigonometric Bézier-like basis ⋮ Algebraic-trigonometric Pythagorean-hodograph curves and their use for Hermite interpolation ⋮ A family of non-uniform subdivision schemes with variable parameters for curve design ⋮ On a new criterion to decide whether a spline space can be used for design ⋮ Quintic hyperbolic nonpolynomial spline and finite difference method for nonlinear second order differential equations and its application ⋮ Optimal bases for a class of mixed spaces and their associated spline spaces ⋮ Design of \(C^2\) algebraic-trigonometric Pythagorean hodograph splines with shape parameters ⋮ Degree elevation from Bézier curve to C-Bézier curve with corner cutting form ⋮ Ellipse-preserving Hermite interpolation and subdivision ⋮ Critical length: an alternative approach ⋮ Corner cutting evaluation algorithms for general rational curves
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Least supported bases and local linear independence
- Totally positive bases for shape preserving curve design and optimality of \(B\)-splines
- C-curves: An extension of cubic curves
- Shape preserving representations for trigonometric polynomial curves
- Two different forms of C-B-splines
- Quadratic-cycloidal curves
- On the optimal stability of bases of univariate functions
- A basis of C-Bézier splines with optimal properties
- Corner cutting algorithms associated with optimal shape preserving representations
- Critical length for design purposes and extended Chebyshev spaces
- Shape preserving representations and optimality of the Bernstein basis
- A class of Bézier-like curves
- Nuat B-spline curves
- On a class of weak Tchebycheff systems
- Unifying C-curves and H-curves by extending the calculation to complex numbers
- Spaces with Almost Strictly Totally Positive Bases
- Shape preserving alternatives to the rational Bézier model
This page was built for publication: A general class of Bernstein-like bases