In this paper we propose a non-stationary C1-continuous interpolating 4-point scheme
which provides users with a single tension parameter that can be either arbitrarily increased …

This paper presents a universal method for constructing interpolatory subdivision schemes
from known approximatory subdivisions. The method establishes geometric rules of the …

We give a classification of subdivision refinement rules using similarity transformations of
lattices. Our work expands recent results in the classification of primal triangular subdivision …

The objective of this paper is to introduce a general procedure for deriving interpolatory
surface subdivision schemes with “symmetric subdivision templates”(SSTs) for regular …

Although initially studied in the late 1940s by G. de Rham, subdivision schemes had to wait
the development of computer graphics, roughly the 1970s, to start being actively studied and …

Subdivision surfaces have become a standard geometric modeling tool for a variety of
applications. This survey is an introduction to subdivision algorithms for arbitrary meshes …

Subdivision templates of numerical values are replaced by templates of matrices in this
paper to allow the introduction of shape control parameters for the feasibility of achieving …

Alexa [1] and Ivrissimtzis et al.[2] have proposed a classification mechanism for bivariate
subdivision schemes. Alexa considers triangular primal schemes, Ivrissimtzis et al …

This paper is devoted to the study of triangular 7 and quadrilateral 5 surface subdivisions.
Both approximation and interpolatory subdivision schemes are considered, with illustrative …

In this paper, we propose a three point approximating subdivision scheme, with three shape
parameters, that unifies three different existing three point approximating schemes. Some …