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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：An algebraic framework for geometrically continuous splines
几何 连续样条 代数框架
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2023/11/6
Geometrically continuous splines are piecewise polynomials defined on a collection of patches stitched together through transition maps. In this talk, we introduce an algebraic framework to study geom...
Using multivariate adaptive regression splines to predict the distributions of New Zealand’s freshwater diadromous fish
distribution environment fish fresh-water MARS
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2015/8/21
Relationships between probabilities of occurrence for fifteen diadromous fish species and environmental variables characterising their habitat in fluvial waters were explored using an extensive collec...
Comparative performance of generalized additive models and multivariate adaptive regression splines for statistical modelling of species distributions
Distribution Environment Fish Freshwater Generalized additive model Multivariate adaptive regression splines
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2015/8/21
Two statistical modelling techniques, generalized additive models (GAM) and multivariate adaptive regression splines (MARS), were used to analyse relationships between the distributions of 15 freshwat...
Box splines and the equivariant index theorem
Box splines equivariant index theorem
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2011/1/18
In this article, we start to recall the inversion formula for the convolution with the Box spline. The equivariant cohomology and the equivariant K-theory with respect to a compact torus G of various ...
Wavelets and framelets from dual pseudo splines
Dual pseudo splines Riesz wavelet basis Tight wavelet frame.
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2018/4/19
Dual pseudo splines constitute a new class of refinable functions with B-splines as special examples, which was introduced in [8]. In this paper, we shall construct Riesz wavelet associated with dual ...
L'utilisation des splines bidimensionnels pour l'estimation de lois de maintien en arrêt de travail
Disability Kaplan-Meier splines estimation
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2010/4/27
The aim of this paper is to propose an operational two-dimensional parametric adjustment for laws of maintenance in disability. The method suggested rests on splines in dimension 2; it is applied to a...
Numerical solution of second-order matrix differential models using cubic matrix splines
Second Order Matrix Linear Differential Equation Cubic Spline
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2010/9/16
This paper deals with the construction of approximate solution of second-order matrix linear differential equations using matrix cubic splines.An estimation of the approximation error, an algorithm fo...
Approximation of curves by fairness cubic splines
Smoothness Variational curve Fairness spline Cubic spline
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2010/9/15
In this paper we present an approximation method of curves by a new type of spline functions called fairness cubic splines from a given Lagrangian data set under fairness constraints. An approximating...
CLOSED SMOOTH SURFACE DEFINED FROM CUBIC TRIANGULAR SPLINES
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2007/12/12
In order to construct closed surfaces with continuous unit normal, we introduce a new spline space on an arbitrary closed mesh of three-sided faces. Our approach generalizes an idea of Goodman and is ...
STRONG CONSISTENCY OF THE PERIODIC SMOOTHING SPLINES
Nonparametric regression periodic smooth
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2007/12/10
摘要 Consider the regression model Y_i=u(x_i)+ε_i,i=1,2,…,n, where u(x)∈W_(2,per)~2[0,1],x_i=(i-1)/n,{ε_i}_1^nare i.i.d, random variables. We use the periodic smoothing spline u_(λp)(x)to estimate u(x)....
Energy Spectra of the Confined Atoms Obtained by Using B-Splines
energy spectra confined atoms B-splines
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2007/8/15
2001Vol.35No.2pp.195-200DOI:
Energy Spectra of the Confined Atoms Obtained by Using B-Splines
SHI Ting-Yun,1 BAO Cheng-Guang2 and LI Bai-Wen1,3
1 Laboratory of Magnetic...