Interpolatory rank-1 vector subdivision schemes

Authors:
Costanza Conti;Georg Zimmermann
Affiliations:
Dipartimento di Energetica "Sergio Stecco", Università di Firenze, Via Lombroso 6/17, 50134 Firenze, Italy;Institut für Angewandte Mathematik und Statistik, Universität Hohenheim (110), 70593 Stuttgart, Germany
Venue:
Computer Aided Geometric Design
Year:
2004

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Abstract

The concept of stationary scalar subdivision being interpolatory does not always extend immediately to the vector valued case. We introduce the concepts of interpolating and data preserving vector subdivision schemes and discuss how these concepts are related. We also present two examples.