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Quasilinear Interpolation by Minimal Splines
The paper studies quasilinear interpolation by minimal splines constructed on nonuniform grids with multiple nodes. Asymptotic representations for...
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On Favard Local Parabolic Interpolating Splines with Additional Knots
AbstractExplicit formulas are given for interpolating parabolic splines on a number line interval constructed by J. Favard in 1940. For...
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High-Order Splines on Riemannian Manifolds
AbstractThis paper is an overview of the work of the authors about generalized polynomial curves and splines on Riemannian manifolds. The emphasis...
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A lower bound for the dimension of tetrahedral splines in large degree
Splines are piecewise polynomial functions which are continuously differentiable to some order r . For a fixed integer d the space of splines of...
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A Novel Super-Convergent Numerical Method for Solving Nonlinear Volterra Integral Equations Based on B-Splines
We introduce and thoroughly examine a novel approach grounded in B-spline techniques to address the solution of second-kind nonlinear Volterra...
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THU-Splines: Highly Localized Refinement on Smooth Unstructured Splines
We present a novel method named truncated hierarchical unstructured splines (THU-splines) that supports both local h-refinement and unstructured...
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Quadrilateral Orbifold Splines
Orbifold spline surfaces are closed free form surfaces of any topological genus. Their patches have...
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DPB-Splines: The Decoupled Basis of Patchwork Splines
We consider partitions of the d-dimensional unit cube into patches with an associated tensor-product spline space for each of them. The spline spaces...
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Directional wavelet packets originating from polynomial splines
The paper presents a versatile library of quasi-analytic complex-valued wavelet packets (qWPs) which originate from polynomial splines of arbitrary...
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Shape Analysis by Computing Geodesics on a Manifold via Cubic B-splines
When a parameterized probability density function is used to represent a landmark-based shape, the shape can be viewed as a point on the manifold...
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Construction of Approximation Functionals for Minimal Splines
This paper presents formulas for constructing quadratic minimal splines, which explicitly depend on the components of a generating vector function....
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Closed-form solution of a class of generalized cubic B-splines
Using the Blossom method in the quasi extended Chebyshev space, we first construct a class of generalized cubic Bernstein functions in the...
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Interpolation mit Splines
Um hohe Polynomgrade bei der Approximation von Funktionen durch Polynome zu vermeiden, wird der Definitionsbereich in Teilintervalle zerlegt....
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Efficient function approximation on general bounded domains using splines on a Cartesian grid
Functions on a bounded domain in scientific computing are often approximated using piecewise polynomial approximations on meshes that adapt to the...
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Effective grading refinement for locally linearly independent LR B-splines
We present a new refinement strategy for locally refined B-splines which ensures the local linear independence of the basis functions. The strategy...
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Stable interpolation with exponential-polynomial splines and node selection via greedy algorithms
In this work we extend some ideas about greedy algorithms, which are well-established tools for, e.g., kernel bases, and exponential-polynomial...
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Splines
Die Polynominterpolation ist im Allgemeinen kein geeignetes Verfahren zur numerischen Approximation von Funktionen. Dies gilt insbesondere dann, wenn...
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Completeness Characterization of Type-I Box Splines
We present a completeness characterization of box splines on three-directional triangulations, also called type-I box spline spaces, based on...
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AS++ T-splines: arbitrary degree, nestedness and approximation
Bi-cubic analysis-suitable++ T-splines (AS++ T-splines) (Li in Comput Methods Appl Mech Eng 333:462–474, 2018) are T-splines defined on less...
