Analysis of a 6-point binary subdivision scheme

In this paper, a linear 6-point binary approximating subdivision scheme with support [−6, 5] is fully investigated. It is shown that the scheme is simple and has elegant properties. We prove that the scheme can have high order continuity, polynomial reproduction and convexity preserving properties simultaneously. Furthermore, we explore the trade-offs among these properties. Examples are given to demonstrate the efficiency and flexibility of the scheme.