Persistent homology transform

Monday, May 21, 2018 - 2:00pm - 3:00pm
Katharine Turner (Australian National University)
The Persistent homology transform (PHT), the Euler Characteristic transform (ECT) and their variants are useful for statistical shape analysis. The idea is that a topological summary of an embedded shape is calculated for height functions corresponding for the different directions in the sphere, capturing the topology from the perspective of each of those directions. Euler calculus provides an simple yet very general proof that the Euler curves/persistence diagrams from all the directions complete describe the any compact o-minimal.
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