Regularity of multivariate vector subdivision schemes |
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| Authors: | Maria Charina Costanza Conti Thomas Sauer |
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| Institution: | (1) Institut für Angewandte Mathematik, Universität Dortmund, D-44221 Dortmund, Germany;(2) Dipartimento di Energetica  Sergio Stecco , Università di Firenze, Via Lombroso 6/17, I-50134 Firenze, Italy;(3) Lehrstuhl für Numerische Mathematik, Justus-Liebig-Universität Gießen, Heinrich-Buff-Ring 44, D-35392 Gießen, Germany |
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| Abstract: | 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. |
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