Topology and Geometry Seminar

Title: Elastic Shape Analysis of Open Planar Curves

Speaker: Dan Robinson

Abstract: An object's shape can be thought of as the geometric information that is unchanged by transformations such as rigid motions, uniform scaling, and reparametrization. Shape analysis deals with developing precise mathematical descriptions of shapes, which can then be used to quantify differences between shapes, define the notion of a "most efficient" deformation of one shape into another, compute averages of shapes, and perform many other tasks. In this talk, we will look at a framework for shape analysis of open plane curves, in which one curve can be deformed into another through a combination of bending and stretching.