multidim.PointCloud.witnessed_barycenters

PointCloud.witnessed_barycenters(k)

Build the PointCloud of k-witnessed barycenters, weighted by distance-to-measure. This calls nearest_neighbors() with argument (k-1), which can be slow.

Parameters:

k : int

How many vertices for each witnessed barycenter. That is, use the (k-1) nearest neighbors, along with the vertex itself.

Returns:

pc : PointCloud

A pointcloud whose 0-cells are the witnessed barycenters, and whose 1-cells are the edges between those barycenters, all weighted by the notion of distance to a measure.