Representing Shapes Using Topological Descriptors
Date/Time: Monday, January 13 4:10 p.m - 5:00 p.m.
Location: Barnard Hall 108
Speaker: Samuel Micka
Abstract: Techniques developed in the field of topological data analysis have grown increasingly popular in recent years for gathering insight into complex data. One example is the use of topological descriptors, such as the persistence diagram (PD), for representing and discriminating between different shapes. In this talk, we offer insight into the algorithms behind generating a set of descriptors which encode all of the geometric and topological information of a shape. Furthermore, we discuss the benefits of using PDs for representing shapes and describe efficient methods for comparing PDs to one another for the purposes of shape differentiation.
Seminars from 2019.