COLLOQUIUM
Geometric Constraints
on Multivariate Splines
Tatyana Sorokina
Department of Mathematics
Towson University
Abstract
Splines are smooth piecewise polynomial functions.
They are used ubiquitously for the numerical solutions
of univariate problems that involve one independent
variable and are well understood in that context.
However, in higher dimensions, which are of great
practical interest in animation, modeling, and
visualization, the structure of multivariate splines is
much more complicated and a number of difficult
problems are unsolved. The problem of defining splines
over tessellations is complicated by the fact that the
dimension of the spline space depends on the precise
geometry and not simply the topology of a tessellation.
In this talk, I will discuss the problem of the
dependency of multivariate splines on the geometry of
the underlying tessellations.
The talk is intended for a general audience.
Department of
Mathematics
Friday,
April 16, 2010
4:00 p.m.
204 Morgan Hall
Refreshments will be
served at 3:45 p.m.