by David Salinas (Gipsa-Lab Grenoble)
May 2nd at 2pm in Byron blanc
Given a set of points that sample a manifold, it has been proved recently that, under some density requirements, the Rips complex of the points provides an approximation of the manifold with the correct topology. One advantage of the Rips complex is that it is determined entirely by its graph which provides a compact form of storage. Unfortunately, the dimension of the Rips complex can be huge, compared to the intrinsic dimension of the shape. We will describe different strategies for simplifying the Rips complex without changing its topology and obtain a simplicial complex whose dimension is that of the sampled manifold.
