Abstract. It is well-known that the smoothness of 4-point interpolatory Deslauriers-Dubuc(DD) subdivision scheme is C 1. N. Dyn[3] proved that 4-point interpolatory subdivision scheme is C 1 by means of eigenanalysis. In this paper we take advantage of Laurent polynomial method to get the same result, and give new way of strict proof on Laurent polynomial method
Abstract. We analyse the approximation and smoothness properties of fundamental and refinable functi...
AbstractLinear interpolatory subdivision schemes of Cr smoothness have approximation order at least ...
A ternary 4-point interpolating subdivision scheme is proposed that generates the limiting curve of ...
In this paper we propose and analyze a new family of nonlinear subdivision schemes which can be cons...
AbstractThe four-point interpolatory subdivision scheme of Dubuc and its generalizations to irregula...
In this note we examine the convexity preserving properties of the (linear) four-point interpolatory...
Since subdivision schemes featured by high smoothness and conic precision are strongly required in m...
Net subdivision schemes recursively refine nets of univariate continuous functions defined on the li...
The four-point subdivision scheme is well known as an interpolating subdivision scheme, but it has r...
AbstractA binary 4-point approximating subdivision scheme, presented by Siddiqi and Ahmad (2006) [9]...
Abstract. We present a new family of multistep iterative interpola-tion schemes and a 4-point high r...
Abstract. Linear interpolatory subdivision schemes of Cr smoothness have approximation order at leas...
The aim of this thesis is to study the convergence and smoothness of certain nonlinear interpolatory...
In this work, we present explicitly a general formula for the mask of (2n+ 4)-point symmetric subdiv...
This paper presents 6-point subdivision schemes with cubic precision. We first derive a relation bet...
Abstract. We analyse the approximation and smoothness properties of fundamental and refinable functi...
AbstractLinear interpolatory subdivision schemes of Cr smoothness have approximation order at least ...
A ternary 4-point interpolating subdivision scheme is proposed that generates the limiting curve of ...
In this paper we propose and analyze a new family of nonlinear subdivision schemes which can be cons...
AbstractThe four-point interpolatory subdivision scheme of Dubuc and its generalizations to irregula...
In this note we examine the convexity preserving properties of the (linear) four-point interpolatory...
Since subdivision schemes featured by high smoothness and conic precision are strongly required in m...
Net subdivision schemes recursively refine nets of univariate continuous functions defined on the li...
The four-point subdivision scheme is well known as an interpolating subdivision scheme, but it has r...
AbstractA binary 4-point approximating subdivision scheme, presented by Siddiqi and Ahmad (2006) [9]...
Abstract. We present a new family of multistep iterative interpola-tion schemes and a 4-point high r...
Abstract. Linear interpolatory subdivision schemes of Cr smoothness have approximation order at leas...
The aim of this thesis is to study the convergence and smoothness of certain nonlinear interpolatory...
In this work, we present explicitly a general formula for the mask of (2n+ 4)-point symmetric subdiv...
This paper presents 6-point subdivision schemes with cubic precision. We first derive a relation bet...
Abstract. We analyse the approximation and smoothness properties of fundamental and refinable functi...
AbstractLinear interpolatory subdivision schemes of Cr smoothness have approximation order at least ...
A ternary 4-point interpolating subdivision scheme is proposed that generates the limiting curve of ...