In this paper, we analyze shape-preserving behavior of a relaxed four-point binary
interpolating subdivision scheme. These shape-preserving properties include positivity …

The main objective of this research is to analyze some geometrical properties of a
quaternary four-point interpolatory subdivision scheme (Q 4-scheme) with a shape …

In the field of subdivision, the smoothness increases as the arity of schemes increases. The
family of high arity schemes gives high smoothness comparative to low arity schemes. In this …

This paper deals with Lupaş post quantum Bernstein operators over arbitrary closed and
bounded interval constructed with the help of Lupaş post quantum Bernstein bases. Due to …

In this paper, a generalized algorithm to develop a class of approximating binary subdivision
schemes is presented. The proposed algorithm is based on three‐point approximating …

In this paper, we introduce blending functions of Lupaş q-Bernstein operators with shifted
knots for constructing q-Bézier curves and surfaces. We study the nature of degree elevation …

During the past four decades, a lot of research works have been carried out for the
construction of surfaces based on subdivision schemes. In contrast, non-stationary …

The subdivision scheme is a valuable tool for designing shapes and representing geometry
in computer-aided geometric design. It has excellent geometric properties, such as fractals …

New subdivision schemes are always required for the generation of smooth curves and
surfaces. The purpose of this paper is to present a general formula for family of parametric …

Subdivision schemes (SSs) have been the heart of computer-aided geometric design almost
from its origin, and several unifications of SSs have been established. SSs are commonly …