AbstractThe purpose of this paper is to study the recent development of certain aspects of multivariate spline spaces. More specifically, we will survey the existence of bivariate spline, the dimension and basis of the bivariate spline spaces Sμk(Δ) with various partitions Δ. Furthermore, we will also introduce some results on the higher dimensional splines
Loosely speaking, splines are piece-wise polynomial functions which are continuously differentiable ...
We give a basis for bivariate spline spaces on crosscut partitions which can be computed without sol...
A bivariate piecewise polynomial function of total degree d on some grid partition △ that has rth or...
Dimensions of spaces of multivariate splines remain unknown in general. A computa-tional method to o...
AbstractWe characterize module bases of spline spaces in terms of their determinants, degree sequenc...
AbstractIn this paper, the dimensions of bivariate spline spaces are studied using the Smoothing Cof...
AbstractIt is well known that splines play an important role in many fields, especially, their close...
AbstractIn this paper, we discuss the structure of multivariate spline spaces on arbitrary triangula...
: We consider the spaces of bivariate C ¯ -splines of degree k defined over arbitrary triangulatio...
AbstractWe consider spaces of splines in k variables of smoothness r and degree d defined on a polyt...
Abstract. In [D. Diener, SIAM J. Numer. Anal., 27 (1990), pp. 543–551], a conjecture on the dimensio...
AbstractThe structure of bivariate spline space over arbitrary triangulation is complicated because ...
In this paper, we define the topological structures for an arbitrary axis-aligned box partition of a...
Multivariate spline function is an important research object and tool in Computational Geometry. The...
Abstract Bivariate splines are piecewise polynomials in two variables defined over planar tessellati...
Loosely speaking, splines are piece-wise polynomial functions which are continuously differentiable ...
We give a basis for bivariate spline spaces on crosscut partitions which can be computed without sol...
A bivariate piecewise polynomial function of total degree d on some grid partition △ that has rth or...
Dimensions of spaces of multivariate splines remain unknown in general. A computa-tional method to o...
AbstractWe characterize module bases of spline spaces in terms of their determinants, degree sequenc...
AbstractIn this paper, the dimensions of bivariate spline spaces are studied using the Smoothing Cof...
AbstractIt is well known that splines play an important role in many fields, especially, their close...
AbstractIn this paper, we discuss the structure of multivariate spline spaces on arbitrary triangula...
: We consider the spaces of bivariate C ¯ -splines of degree k defined over arbitrary triangulatio...
AbstractWe consider spaces of splines in k variables of smoothness r and degree d defined on a polyt...
Abstract. In [D. Diener, SIAM J. Numer. Anal., 27 (1990), pp. 543–551], a conjecture on the dimensio...
AbstractThe structure of bivariate spline space over arbitrary triangulation is complicated because ...
In this paper, we define the topological structures for an arbitrary axis-aligned box partition of a...
Multivariate spline function is an important research object and tool in Computational Geometry. The...
Abstract Bivariate splines are piecewise polynomials in two variables defined over planar tessellati...
Loosely speaking, splines are piece-wise polynomial functions which are continuously differentiable ...
We give a basis for bivariate spline spaces on crosscut partitions which can be computed without sol...
A bivariate piecewise polynomial function of total degree d on some grid partition △ that has rth or...
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