Generalization of (2n+4)-point Approximating Subdivision Scheme

Ko,P.K., Lee,J.-J., Choi,N.-S., Lee,B.-G.

Abstract:
In this paper, we present explicitly general formulation 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 Chaikin's algorithms, the 4-point approximating scheme and the (2n+2)-point approximating schemes.