Constructing totally positive piecewise Chebyshevian B-spline bases
type: Item
instance of: scholarly article
title: Constructing totally positive piecewise Chebyshevian B-spline bases
zbMATH Open document ID: 1391.65040
author: Marie-Laurence Mazure
published in: Journal of Computational and Applied Mathematics
publication date: 2018-06-13T00:00:00Z
Mathematics Subject Classification ID: 65D17
Mathematics Subject Classification ID: 65D07
zbMATH DE Number: 6887304
zbMATH Keywords: total positivity
zbMATH Keywords: B-spline bases
zbMATH Keywords: Bernstein-type bases
zbMATH Keywords: extended Chebyshev spaces
zbMATH Keywords: generalised derivatives
zbMATH Keywords: blossoms
zbMATH Keywords: shape parameters
zbMATH Keywords: geometric design
MaRDI profile type: Publication
full work available at URL: j.cam.2018.03.032
OpenAlex ID: W2800182126
cites work: de Boor-fix dual functionals and algorithms for Tchebycheffian B-spline curves
cites work: Properties of \(\beta\)-splines
cites work: ON LOCALLY SUPPORTED BASIS FUNCTIONS FOR THE REPRESENTATION OF GEOMETRICALLY CONTINUOUS CURVES
cites work: Piecewise polynomial spaces and geometric continuity of curves
cites work: New algorithms and techniques for computing with geometrically continuous spline curves of arbitrary degree
cites work: On the equivalence between existence of \(B\)-spline bases and existence of blossoms
cites work: Ready-to-blossom bases and the existence of geometrically continuous piecewise Chebyshevian B-splines
cites work: Blossoms and optimal bases
cites work: Ready-to-Blossom Bases in Chebyshev Spaces
cites work: Chebyshev splines beyond total positivity
cites work: How to build all Chebyshevian spline spaces good for geometric design?
cites work: Finding all systems of weight functions associated with a given extended Chebyshev space
cites work: One sided Hermite interpolation by piecewise different generalized polynomials
cites work: Piecewise Chebyshevian splines: interpolation versus design
cites work: Piecewise Chebyshev-Schoenberg operators: shape preservation, approximation and space embedding
cites work: Quadratic convergence of approximations by CCC-Schoenberg operators
cites work: Q4898231
cites work: Isogemetric analysis and symmetric Galerkin BEM: a 2D numerical study
cites work: Generalized B-Splines in Isogeometric Analysis
cites work: Generalized B-splines as a tool in isogeometric analysis
cites work: Mixed hyperbolic/trigonometric spaces for design
cites work: Q5534404
cites work: Q3895980
cites work: The geometry of Tchebycheffian splines
cites work: Chebyshev spaces and Bernstein bases
cites work: Critical length for design purposes and extended Chebyshev spaces
cites work: Q4938356
cites work: Blossoming: A geometrical approach
cites work: On a class of weak Tchebycheff systems
cites work: Construction of B-splines for generalized spline spaces generated from local ECT-systems
cites work: ECT-B-splines defined by generalized divided differences
cites work: Computing ECT-B-splines recursively
cites work: Blossoms are polar forms
cites work: Q4381525
cites work: Q4381524
cites work: On a new criterion to decide whether a spline space can be used for design
cites work: Polynomial splines as examples of Chebyshevian splines
cites work: Design with L-splines
cites work: Q4381520
cites work: Total positivity and the existence of piecewise exponential B-splines
cites work: Q3973489
cites work: Non-uniform exponential tension splines
cites work: Vandermonde type determinants and blossoming
cites work: Chebyshev spaces with polynomial blossoms
cites work: Chebyshev blossoming in Müntz spaces: toward shaping with Young diagrams
cites work: Dimension elevation in Müntz spaces: a new emergence of the Müntz condition
cites work: Polynomial Chebyshev splines
cites work: Knot intervals and multi-degree splines
cites work: On multi-degree splines
Wikidata QID: Q129910812
DOI: 10.1016/J.CAM.2018.03.032
Recommended article: Towards existence of piecewise Chebyshevian B-spline bases
Recommended article: Ready-to-blossom bases and the existence of geometrically continuous piecewise Chebyshevian B-splines
Recommended article: Chebyshev splines beyond total positivity
Recommended article: Totally positive bases for shape preserving curve design and optimality of B-splines
Recommended article: Totally positive bases for shape preserving curve design and optimality of \(B\)-splines
Recommended article: Q4938356
Recommended article: Total positivity and the existence of piecewise exponential B-splines
Recommended article: Tchebycheffian B-splines revisited: an introductory exposition

Constructing totally positive piecewise Chebyshevian B-spline bases (Recommended article)
Recommended article: Q3633871
Similarity Score: 0.8693138
Recommender Run: Recommender Run 3

Constructing totally positive piecewise Chebyshevian B-spline bases (Recommended article)
Recommended article: A Tchebycheffian Extension of Multidegree B-Splines: Algorithmic Computation and Properties
Similarity Score: 0.86378443
Recommender Run: Recommender Run 3