Symmetry groupoids and weighted signatures of geometric objects

Algebra Seminar
Monday, November 14, 2016 - 15:05
1 hour (actually 50 minutes)
Skiles 006
University of Minnesota
In this talk, I will refine the concept of the symmetry group of a geometric object through its symmetry groupoid, which incorporates both global and local symmetries in a common framework.  The symmetry groupoid is related to the weighted differential invariant signature of a submanifold, that is introduced to capture its fine grain equivalence and symmetry properties.  The groupoid/signature approach will be connected to recent developments in signature-based recognition and symmetry detection of objects in digital images, including jigsaw puzzle assembly.