Differentiating Lychees and Grapes | Mathematical Institute

Seminar series

Applied Topology Seminar

Date

Fri, 25 Sep 2020

Time

15:00 - 16:00

Location

Virtual

Speaker

Yossi Bokor

Organisation

Australian National University/University of Sydney

Distinguishing classes of surfaces in $\mathbb{R}^n$ is a task which arises in many situations. There are many characteristics we can use to solve this classification problem. The Persistent Homology Transform allows us to look at shapes in $\mathbb{R}^n$ from $S^{n-1}$ directions simultaneously, and is a useful tool for surface classification. Using the Julia package DiscretePersistentHomologyTransform, we will look at some example curves in $\mathbb{R}^2$ and examine distinguishing features.