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 …

A new class of 2 m-point non-stationary subdivision schemes (SSs) is presented, including
some of their important properties, such as continuity, curvature, torsion monotonicity, and …

The main objective of this study is to introduce a new class of 2 q-point approximating
nonstationary subdivision schemes (ANSSs) by applying Lagrange-like interpolant. The …

In this paper, a new combined approximating and interpolating ternary 4-point subdivision
scheme with multiple parameters is proposed. A set of nice properties, such as support …

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

This paper, presents the algorithm which generates a new 7-point quaternary approximating
subdivision scheme with shape parameter w. By applying the algorithm, we further discuss …

In this paper, we propose and analyze a subdivision scheme which unifies 3-point
approximating subdivision schemes of any arity in its compact form and has less support …

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 article, the objective is to introduce an algorithm to produce the quaternary m-point
(for any integer m> 1) approximating subdivision schemes, which have smaller support and …

In this paper, an algorithm is defined to construct 3n-point quaternary approximating
subdivision schemes which are useful to design different geometric objects in the field of …