Campus Event Calendar
Event Entry
What and Who
"On Generalized Barycentric Coordinates and Their Applications in Geometric Modeling"
Dipl.-Math. Torsten Langer
Max-Planck-Institut für Informatik - D4
Promotionskolloquium
AG 1, AG 2, AG 3, AG 4, AG 5, SWS, RG1, MMCI
Public Audience
English
Note: We use this to send email in the morning.
Date, Time and Location
Thursday, 18 December 2008
16:00
90 Minutes
E1 4
019
Saarbrücken
Abstract
Generalized barycentric coordinate systems allow us to express the
position of a
point in space with respect to a given polygon or higher dimensional
polytope.
We eliminate most of the restrictions of previous approaches and
introduce a
definition for 3D mean value coordinates that is valid for arbitrary 3D
polyhedra
with a straightforward generalization to higher dimensions.
Furthermore, we extend the notion of barycentric coordinates in such a
way as
to allow Hermite interpolation. Finally, we show that barycentric
coordinates can
be used to obtain a novel formula for curvature computation on surfaces.
position of a
point in space with respect to a given polygon or higher dimensional
polytope.
We eliminate most of the restrictions of previous approaches and
introduce a
definition for 3D mean value coordinates that is valid for arbitrary 3D
polyhedra
with a straightforward generalization to higher dimensions.
Furthermore, we extend the notion of barycentric coordinates in such a
way as
to allow Hermite interpolation. Finally, we show that barycentric
coordinates can
be used to obtain a novel formula for curvature computation on surfaces.
Contact
Thorsten Thormählen
+49.681.9325.417
--email hidden
passcode not visible
logged in users only
Svetlana Borodina, 12/15/2008 14:58 -- Created document.