Seminars at the Faculty of Informatics

The Faculty of Informatics is pleased to announce a seminar given by Prof. Kai Hormann



Generalized Barycentric Coordinates


How Möbius spiced up the Ratatouille


SPEAKER: Prof. Kai Hormann, Clausthal University of Technology, Germany


DATE: Thursday, November 27th, 2008


PLACE: USI Università della Svizzera italiana, room SI-008, Informatics building (Via G. Buffi 13)


TIME: 16.30



In 1827 August Ferdinand Möbius published his seminal work on the "barycentric calcul" which provided a novel approach to analytic geometry.

One key element in his work is the idea of barycentric coordinates which allow to write any point inside a triangle as a unique convex combination of the triangle's vertices.


Only recently, this idea has been extended to polygons with more than three vertices and arbitrary polytopes in higher dimensions, yielding an efficient method for interpolating data given at the vertices of an arbitrary polytope.


We discuss the theoretical background of these generalized barycentric coordinates and present several useful applications, e.g. in computer graphics, computer aided geometric design, and image processing. One of these applications is the animation of virtual characters, a technique that has also been used in the production of the Academy Award Winner "Ratatouille".



Kai Hormann is an assistant professor for computer graphics in the Department of Informatics at Clausthal University of Technology, Germany. His research interests are focussed on the mathematical foundations of geometry processing algorithms as well as their applications in computer graphics and related fields.

Dr. Hormann received his PhD from the University of Erlangen in 2002 and spent two years as a postdoctoral research fellow at the Multi-Res Modeling Group at Caltech, Pasadena and the CNR Institute of Information Science and Technologies in Pisa, before joining the faculty at Clausthal University in 2004.


HOST: Prof. Evanthia Papadopoulou

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