Abstract Bivariate splines are piecewise polynomials in two variables defined over planar tessellations. Most of these tessellations are symmetric in some sense and represent famous design and tiling patterns. We show that this symmetry is an intrinsic property of bivariate splines directly related to the concept of dimension of spline spaces
Splines are piecewise polynomial functions of a given order of smoothness r. Given complex delta the...
A bivariate piecewise polynomial function of total degree d on some grid partition △ that has rth or...
We consider a linear space of piecewise polynomials in three variables which are globally smooth, i...
: We consider the spaces of bivariate C ¯ -splines of degree k defined over arbitrary triangulatio...
The paper presents and proves geometrical properties of a particular bivariate function spline, buil...
Loosely speaking, splines are piece-wise polynomial functions which are continuously differentiable ...
AbstractThe purpose of this paper is to study the recent development of certain aspects of multivari...
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...
In this paper, we study the dimension of bivariate polynomial splines of mixed smoothness on polygon...
Abstract. In [D. Diener, SIAM J. Numer. Anal., 27 (1990), pp. 543–551], a conjecture on the dimensio...
AbstractWe determine the dimension of the polynomial subspace of the linear space spanned by the tra...
We consider the linear space of piecewise polynomials in three variables which are globally smooth, ...
This paper is concerned with a study of some new formulations of smoothness conditions and conformal...
The aim of this survey is to give an overview of the field of splines over triangulations. We summa...
Splines are piecewise polynomial functions of a given order of smoothness r. Given complex delta the...
A bivariate piecewise polynomial function of total degree d on some grid partition △ that has rth or...
We consider a linear space of piecewise polynomials in three variables which are globally smooth, i...
: We consider the spaces of bivariate C ¯ -splines of degree k defined over arbitrary triangulatio...
The paper presents and proves geometrical properties of a particular bivariate function spline, buil...
Loosely speaking, splines are piece-wise polynomial functions which are continuously differentiable ...
AbstractThe purpose of this paper is to study the recent development of certain aspects of multivari...
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...
In this paper, we study the dimension of bivariate polynomial splines of mixed smoothness on polygon...
Abstract. In [D. Diener, SIAM J. Numer. Anal., 27 (1990), pp. 543–551], a conjecture on the dimensio...
AbstractWe determine the dimension of the polynomial subspace of the linear space spanned by the tra...
We consider the linear space of piecewise polynomials in three variables which are globally smooth, ...
This paper is concerned with a study of some new formulations of smoothness conditions and conformal...
The aim of this survey is to give an overview of the field of splines over triangulations. We summa...
Splines are piecewise polynomial functions of a given order of smoothness r. Given complex delta the...
A bivariate piecewise polynomial function of total degree d on some grid partition △ that has rth or...
We consider a linear space of piecewise polynomials in three variables which are globally smooth, i...