"Computational conformal geometry,
open problems and applications."

By: David Gu.

Abstract:
Computational conformal geometry can be applied to solve many
engineering problems from a new angle of view, such as surface
matching, spline surface construction, efficient rendering and shape
anylasis.

For surface matching, we need to answer the fundamental questions
for the existence, uniqueness, inversability, stability of the
mappings. For spline surface construction, we need to address the
topological obstruction issue. For shape anylasis, we need to estimate
the error bound, convergence speed.

In this talk, I will discuss these questions, and introduce
related open problems in computational topology, and conformal geometry,
and propose some research directions. Potential applications will be
discussed also.