Hausdorff metric
Jump to navigation
Jump to search
English
[edit]Noun
[edit]Hausdorff metric (plural Hausdorff metrics)
- (mathematical 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 .
- Synonyms: Hausdorff distance, Pompeiu-Hausdorff distance
- 2014, James F. Peters, Topology of Digital Images: Visual Pattern Discovery in Proximity Spaces, Springer Science & Business Media, →ISBN, page 195:
- 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
[edit]Hausdorff distance on Wikipedia.Wikipedia