Topological approaches to the data skeletonization problem

Yury Elkin (University of Liverpool)
07.05.2018, Exactum C124, 2pm-4pm


Topological data analysis is a rapidly growing field, combining

techniques coming from theoretical mathematics and computer science to

solve problems related to shape recognition. On concrete level given a

point cloud in a Euclidean space we consider the problem of

approximating the cloud by an embedded graph in the same space. We

will review past approaches to related data skeletonization problems

via Reeb graphs and a 1-dimensional Homologically Persistent Skeleton.

Then we will introduce a new approximate skeleton for detecting

topological shapes of micelles in n dimensions. The talk is based on

joint work with Vitaliy Kurlin at the University of Liverpool.