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 …

We present a general formula to generate the family of odd-point ternary approximating
subdivision schemes with a shape parameter for describing curves. The influence of …

ABSTRACT A general formula for 4-point α-Ary approximating subdivision scheme for curve
designing is introduced for any arity 2 α≥. The new scheme is extension of B-spline of …

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 …

First, we explore the properties of families of odd-point odd-ary parametric approximating
subdivision schemes. Then we fine-tune the parameters involved in the family of schemes to …

We present an explicit formula for the mask of odd points n‐ary, for any odd n⩾ 3,
interpolating subdivision schemes. This formula provides the mask of lower and higher arity …

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 …

This paper introduces a modified method for construction of a new design-control 6-point
approximating refinement scheme. The construction of the new scheme is based on …

We presented a general formula to generate the family of even‐point ternary approximating
subdivision schemes with a shape parameter for describing curves. Some sufficient …