Shape preservation has been the heart of subdivision schemes (SSs) almost from its origin,
and several analyses of SSs have been established. Shape preservation properties are …

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 this paper we provide the conditions that the free parameter of the interpolating 5-point
ternary subdivision scheme and the vertices of a strictly convex initial polygon have to satisfy …

We present generalized and unified families of (2n)-point and (2n—1)-point p-ary
interpolating subdivision schemes originated from Lagrange polynomial for any integers n≥ …

We present two collocation algorithms based on interpolating and approximating
subdivision schemes for the solution of fourth order boundary value problems arising in the …

A numerical interpolating algorithm of collocation is formulated, based on 8‐point binary
interpolating subdivision schemes for the generation of curves, to solve the two‐point third …

We apply six‐point variant on the Lane‐Riesenfeld algorithm to obtain a new family of
subdivision schemes. We also determine the support, smoothness, Hölder regularity …

In this study, we proposed a family of m-point quaternary approximating subdivision
schemes, characterized by an explicit formula involving three parameters. One of these …

The frequent use of subdivision schemes (SSs) for curve sketching can be seen in various
papers published during recent years. These SSs provides efficient method for producing …

We present a family of (2n− 1)-point binary approximating subdivision schemes with free
parameters for describing curves. Almost all existing odd-point binary symmetric …