Topology, Geometry and Data Seminar - Tom Needham

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Tom Needham
September 20, 2016
4:00PM - 5:00PM
Location
Cockins Hall 240

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Add to Calendar 2016-09-20 16:00:00 2016-09-20 17:00:00 Topology, Geometry and Data Seminar - Tom Needham Title: An Introduction to Elastic Shape Analysis of CurvesSpeaker: Tom Needham (The Ohio State University)Abstract: Consider the following basic question: what is the correct notion of distance between a pair of closed curves in Euclidean space? The question is subtle if we require the distance metric to be invariant under choice of parameterization and alignment; that is, if we want to measure the distance between the “shapes” of the curves. The field of elastic shape analysis answers this question by defining a Riemannian metric on the infinite-dimensional manifold of closed curve shapes and measuring shape similarity by geodesic distance. In this talk I will give an introduction to elastic shape analysis. I will also describe my own work on the shape space of framed curves, which more generally has a natural Kähler structure. Time permitting, I will describe recent work of Anirudh et. al. which applies these ideas to topological data analysis.Seminar URL: https://research.math.osu.edu/tgda/tgda-seminar.html Cockins Hall 240 Department of Mathematics math@osu.edu America/New_York public
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Title: An Introduction to Elastic Shape Analysis of Curves

Speaker: Tom Needham (The Ohio State University)

Abstract: Consider the following basic question: what is the correct notion of distance between a pair of closed curves in Euclidean space? The question is subtle if we require the distance metric to be invariant under choice of parameterization and alignment; that is, if we want to measure the distance between the “shapes” of the curves. The field of elastic shape analysis answers this question by defining a Riemannian metric on the infinite-dimensional manifold of closed curve shapes and measuring shape similarity by geodesic distance. In this talk I will give an introduction to elastic shape analysis. I will also describe my own work on the shape space of framed curves, which more generally has a natural Kähler structure. Time permitting, I will describe recent work of Anirudh et. al. which applies these ideas to topological data analysis.

Seminar URLhttps://research.math.osu.edu/tgda/tgda-seminar.html

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