Submitted by Ingrid Richter
on
The Department of Applied Mathematics weekly seminar is given by scholars and researchers working in applied mathematics, broadly interpreted.
Title: Connecting the Dots
Abstract: We revisit the well-known kernel method of interpolation and, by taking a slightly unusual point view, show how it can be used (and modified in a natural way) for the purpose of gaining insight into the (geometric) structure of scattered data points such as point clouds. One of the advantages of the method is that it is global (albeit localizable) and does not require any direct explicit understanding of data points neighborhoods.