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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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REML for Two-Dimensional P-Splines
We propose a new method based on residual (or restricted) maximum likelihood (REML) for P-splines. Existing methods use a transformation of P-splines...
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Splines for Atmospheric Data
Splines or piecewise regression is used when we have curved data, it is divided into number of small curves according to our convenient. By taking...
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Modal regression models based on B-splines
A nonparametric model based on B-splines is given for modal regression. The existing nonparametric local polynomial modal regression performs well in...
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Locally Refined B-Splines
The univariate minimal support B-spline basis (UMB) has been used in Computer Aided Design (CAD) since the 1970s. Freeform curves use UMB, while...
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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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Splines
Splines are a series of keys machined on outside of a shaft, with corresponding grooves machined on inside of hub of a power transmitting element....
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THB-Diff: a GPU-accelerated differentiable programming framework for THB-splines
We have developed a differentiable programming framework for truncated hierarchical B-splines (THB-splines), which can be used for several...
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Freiformmodellierung mit Splines
In diesem Kapitel werden mit Hilfe von Splines und Skizzen verschiedene Körper modelliert. Es werden vier verschiedene Methoden zur Erzeugung von...
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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 semi-parametric claims reserving model with monotone splines
Stochastic reserving models used in the insurance industry are usually based on an assumed distribution of claim amounts. Despite their popularity,...
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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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Fast algorithms for interpolation and smoothing for a general class of fourth order exponential splines
In this work, a general class of interpolation and smoothing natural exponential splines with respect to fourth order differential operators with two...
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Analytic evaluation of the FCC Voronoi-splines
We propose an analytic evaluation algorithm for splines and their derivatives (gradient and Hessian) of FCC volume datasets based on the...
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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...