Polynomial reproduction for univariate subdivision schemes of any arity

In this paper we study the ability of convergent subdivision schemes to reproduce polynomials in the sense that for initial data, which is sampled from some polynomial function, the scheme yields the same polynomial in the limit. This property is desirable because the reproduction of polynomials up to some degree d implies that a scheme has approxi

• Type: Journal
• Year: 2011
• Where: JAT
• Authors: Costanza Conti, Kai Hormann
• Keywords: Convergent Subdivision Schemes, JAT 2011, Polynomial Function, Polynomials