Refreshments 3:20 p.m.
Lecture 3:40 p.m.
Abstract
Accurate computational representations of highly deformable surfaces
are indispensable in the fields of computer animation, medical
simulation, computer vision, digital modeling, and computational
physics. After reviewing common representations of deformable
surfaces, I will present some of my recent contributions to the field
of computer graphics.
I will first present results from an algorithm that generates highly
detailed continuum mechanics animations. This method combines a finite
element method with a tetrahedral mesh generator and a high resolution
surface mesh, and it is orders of magnitude more efficient than
previous approaches. Next, I will present an efficient solution for
the challenging problem of computing topological changes between
detailed surface meshes. With some additional modifications, this
algorithm is capable of tracking surfaces in computational fluid
dynamics applications with unprecedented levels of accuracy and
detail. This surface tracking technique also opens the door for a
unique coupling between surficial finite element methods and
volumetric finite difference methods, in order to simulate liquid
surface tension phenomena more efficiently than any previous method.
Due to its dramatic increase in computational resolution and efficiency,
this method yielded the first computer simulations of a fully
developed crown splash with droplet pinch off.
Finally, I will present several directions of future research. In
addition to future applications within the field of computer
animation, I will discuss strategies for attacking open problems in
geometric modeling, computational fluid dynamics, applied mathematics,
and surgical planning.
Return to
2010 Events Calendar