Generalization of (2n + 4)-point approximating subdivision scheme

Abstract

In this paper, we present explicitly a general formula for the mask of (2n + 4) -point approximating subdivision scheme with two parameters which reproduces all polynomials of degree ≤ 2n +1. The proposed scheme generalizes several subdivision schemes such as the Chainkin's algorithm, the 4-point approximating scheme and the (2n + 2) -point approximating schemes.