There are still many basic geometric structures discovered in differential geometry that have yet to be used in any computer graphics algorithms. These structures can be incredibly useful in geometry processing applications, and our work can be summarized to finding new ways to interact with 3d models built on discrete analogs of these differential geometric structures.
I am a PhD candidate at
Caltech in
Applied and Computational Mathematics working under the supervision of
Peter Schröder and
Ulrich Pinkall.
My work is currently supported by an
NSF Graduate Research Fellowship. I was previously supported by a
Kortschak Scholars Research Fellowship.