A practical method for computing with piecewise Chebyshevian splines
DOI10.1016/j.cam.2021.114051zbMath1482.65023arXiv1611.02068OpenAlexW3212068440MaRDI QIDQ2074909
Carolina Vittoria Beccari, Lucia Romani, Giulio Casciola
Publication date: 11 February 2022
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1611.02068
computational algorithmsknot insertionB-spline basistransition functionsorder elevationpiecewise Chebyshevian splines
Numerical computation using splines (65D07) Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Spline approximation (41A15) Computer-aided design (modeling of curves and surfaces) (65D17)
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- Exponential pseudo-splines: looking beyond exponential B-splines
- A general framework for the construction of piecewise-polynomial local interpolants of minimum degree
- Algebraic-trigonometric Pythagorean-hodograph curves and their use for Hermite interpolation
- Polynomial cubic splines with tension properties
- A basis of multi-degree splines
- Generalized B-splines as a tool in isogeometric analysis
- How to build all Chebyshevian spline spaces good for geometric design?
- Analysis of compactly supported nonstationary biorthogonal wavelet systems based on exponential B-splines
- On multi-degree splines
- Trigonometric generalized T-splines
- Discontinuous Galerkin method based on non-polynomial approximation spaces
- Unified and extended form of three types of splines
- Changeable degree spline basis functions
- Optimal bases for a class of mixed spaces and their associated spline spaces
- Numerically stable algorithm for cycloidal splines
- Piecewise polynomial spaces and geometric continuity of curves
- Construction of B-splines for generalized spline spaces generated from local ECT-systems
- Constructing totally positive piecewise Chebyshevian B-spline bases
- Piecewise extended Chebyshev spaces: a numerical test for design
- \(GB\)-splines of arbitrary order
- Critical length for design purposes and extended Chebyshev spaces
- de Boor-fix dual functionals and algorithms for Tchebycheffian B-spline curves
- Exponential polynomial reproducing property of non-stationary symmetric subdivision schemes and normalized exponential B-splines
- WENO schemes and their application as limiters for RKDG methods based on trigonometric approximation spaces
- Curve and surface construction using variable degree polynomial splines
- Dimension elevation is not always corner-cutting
- Isogeometric collocation methods with generalized B-splines
- A Cox-de Boor-type recurrence relation for \(C^1\) multi-degree splines
- Matrix representations for multi-degree B-splines
- Stable numerical evaluation of multi-degree B-splines
- Creating a bridge between cardinal B\(r\)-spline fundamental functions for interpolation and subdivision
- Critical length: an alternative approach
- Multi-degree B-splines: algorithmic computation and properties
- Multi-degree smooth polar splines: a framework for geometric modeling and isogeometric analysis
- Knot intervals and multi-degree splines
- Design or not design? A numerical characterisation for piecewise Chebyshevian splines
- Algebraic-trigonometric Pythagorean-hodograph space curves
- Multiresolution Subdivision Snakes
- A Tchebycheffian Extension of Multidegree B-Splines: Algorithmic Computation and Properties
- Algorithm 992
- Cardinal exponential splines: part I - theory and filtering algorithms
- Sixth-order Weighted Essentially Nonoscillatory Schemes Based on Exponential Polynomials
- Chebyshev splines beyond total positivity
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