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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
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...
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.
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 ...
Numerical solution of second-order matrix differential models using cubic matrix splines
Second Order Matrix Linear Differential Equation Cubic Spline
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
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...
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 ...