Clifford-Bezier parametrization of Dupin cyclide patches with applications to molecular surface modeling

Presenter: Rimvydas Krasauskas, Vilnius University, Lithuania

Joint work with Severinas Zubė, Vytautas Karpavičius, Kliment Olechnovič

Dupin cyclides are surfaces whose curvature lines are circles or straight lines. We use rational Bezier formulas with Clifford algebra weights for parametrization of principal Dupin cyclide patches. Several well known and several new geometric properties of Dupin cyclides are derived using this approach. As an example of application we present construction of surfaces for visualizing voids and channels in large biomolecules (treated as the union of Van der Waals balls).