Graduate Geometry, Topology and Dynamics Seminar
Janis Lazovskis
Neighborhoods of embedded manifolds
Abstract: Given an embedded manifold, by considering local (curvature) and global (distance of closest approach) properties, it is possible to find the conditioning number (or reach, or injectivity radius) of the manifold (the radius of the largest tubular neighborhood that may be emebedded along with the manifold). When instead we have a finite point sample from the manifold, uncertainty is introduced, although the methods still carry over, by considering the epsilon-nerve of the points as a piecewise-linear manifold.
Wednesday November 30, 2016 at 3:00 PM in SEO 612