Tuesday, November 4

MS4
Subdivision

10:30 AM-12:30 PM
Room: Belle Meade

Subdivision algorithms produce, from a given polygonal net, a sequence of polygons with increasingly more and denser lying vertices. Usually a next polygon in such a sequence is obtained by simple affine combinations which accounts for the attractiveness of subdivision schemes. For certain subclasses of subdivision schemes on regular nets, the convergence and the smoothness of the limiting curves or surfaces has been investigated and is well understood. More recently, the C^k-analysis for subdivision schemes on non-regular nets has been completed and attempts have been made to construct wavelets for some subdivison schemes. The speakers will discuss recent work in these topics.

Organizer: Hartmut M. Prautzsch
Universitaet Karlsruhe, Germany

10:30 Constructing Variationally Optimal Curves Through Subdivision

Leif Kobbelt, University of Erlangen-Nurnberg, Germany

11:00 Hermite-Type Interpolatory Subdivision Schemes

Nira Dyn and D. Levin Tel-Aviv University, Israel

11:30 C^k Analysis of Subdivision Algorithms and Applications

Georg Umlauf, Universitaet Karlsruhe, Germany

12:00 Interpolatory Subdivision and Biorthogonal Wavelets

Sherman D. Riemenschneider, University of Alberta, Canada; and Zouwei Shen, National University of Singapore, Singapore

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