Veranstalter:
       M. Alexa (TU), J. Döllner (HPI),  P. Eisert (HUB), H.-C. Hege (ZIB),
       K. Polthier (FUB), J. Sullivan (TUB)

Prof. PhD Thomas Peters

Department of Mathematics, University of Connecticut

Applying Knot Theory to Animation and Visualization

Abstract

Classical knot theory is being applied to solve pernicious problems in animation and scientific visualization.  A crucial aspect in these computational applicationsis the role of geometric approximation, with assurance that the approximation is topologically equivalent to the original object.  The knot theoretic equivalence of ambient isotopy is presented as more suited to these applications than the standard point set topological equivalence by homeomorphisms, with ongoing projects in film compression and molecular simulation.  A recent example will show how a spline and its control polygon can initially have different knot types, but a single subdivision will result in the same knot type.

PDF-File zum Ausdrucken der Vortragsankündigung

Zeit:  Montag, 11. April, 17:15 Uhr

Ort:   Zuse-Institut Berlin
         Takustraße 7
         14195 Berlin
         Hörsaal (Rundbau Erdgeschoß)