Expected sizes of Poisson–Delaunay mosaics and their discrete Morse functions
Expected sizes of Poisson–Delaunay mosaics and their discrete Morse functions
Mapping every simplex in the Delaunay mosaic of a discrete point set to the radius of the smallest empty circumsphere gives a generalized discrete Morse function. Choosing the points from an n-dimensional Poisson point process, we study the expected number of simplices in the Delaunay mosaic as well as the …