Hausdorff metric

English Noun en analysis In the abstract metric space of all compact subsets of , given a pair of compact sets A and B, the Hausdorff metric is where , where d is the Euclidean metric in . en Hausdorff distance Pompeiu-Hausdorff distance en 2014 James F. Peters Topology of Digital Images: Visual Pattern Discovery in Proximity Spaces Springer Science & Business Media 9783642538452 195 https://books.google.com/books?id=Hv3EBAAAQBAJ&pg=PA195&dq=%22Hausdorff+metric%22&hl=&cd=21&source=gbs_api#v=onepage&q=%22Hausdorff%20metric%22&f=false The Hausdorff metric topology was first discovered by D. Pompeiu and by F. Hausdorff in 1927. This topology has been used in a number of areas such as function space topologies, approximation theory, and optimisation (see, e.g., 22). Further reading Hausdorff distance en eponyms