As a rapidly growing, multidisciplinary field of mathematics, wavelet theory provides the
major mathematical multiscale representation for analyzing functions/data and has …

Recent Progress in Subdivision: a Survey Page 1 Recent Progress in Subdivision: a Survey
Malcolm Sabin Computer Laboratory, University of Cambridge, UK and Numerical Geometry …

Ternary and Three-point Univariate Subdivision Schemes Page 1 Ternary and Three-point
Univariate Subdivision Schemes MF Hassan∗and NA Dodgson† Technical Report Number …

In this paper, we study the ability of convergent subdivision schemes to reproduce
polynomials in the sense that for initial data, which is sampled from some polynomial …

In this paper we present a non-stationary 4-point ternary interpolatory subdivision scheme
which provides the user with a tension parameter that, when increased within its range of …

In this paper, we propose and analyze a tensor product of nine-tic B-spline subdivision
scheme (SS) to reduce the execution time needed to compute the subdivision process of …

The four-point curve subdivision scheme is one of the classic reference points of subdivision
theory. It has effective C2 continuity, although the curvature at the data points actually …

In this paper, we present the shape-preserving properties of the four-point ternary non-
stationary interpolating subdivision scheme (the four-point scheme). This scheme involves a …

In the implementation of subdivision scheme, three of the most important issues are
smoothness, size of support, and approximation order. Our objective is to introduce an …

The Subdivision Schemes (SSs) have been the heart of Computer Aided Geometric Design
(CAGD) almost from its origin, and various analyses of SSs have been conducted. SSs are …