Regularity of multivariate vector subdivision schemes

• DOI: 10.1007/s11075-004-3623-z
• Publication Date: 2005-04-05T14:02:29Z
• Authors: Maria Charina; Costanza Conti; Thomas Sauer
• Keywords: iate subdivision schemes; difference subdivision scheme; Convergence and regularity; 0101 mathematics; 01 natural sciences

In this paper we discuss methods for investigating the convergence of multivariate vector subdivision schemes and the regularity of the associated limit functions. Specifically, we consider difference vector subdivision schemes whose restricted contractivity determines the convergence of the original scheme and describes the connection between the regularity of the limit functions of the difference subdivision scheme and the original subdivision scheme.