Generalized Family of Approximating Schemes based on Newton Interpolating Polynomials and its Error Analysis

Abstract

A generalized family of (2 + 2)-point n-ary approximating subdivision schemes by using Newton interpolating polynomials is presented for the generation of curves and surfaces, where ≥ 0 and n≥ 2. This family unifies some well known curve and surface schemes. Furthermore, the error bound evaluation technique for the proposed schemes is also discussed.