Proximity

Geometric problems surrounds pertaining to the questions of how close two geometric entities are among a collection of objects or how similar two geometric patterns match each other. For example, in pattern classification and clustering, features that are similar according to some metric are to be clustered in a group. The two aircrafts that are the closest at any time instant in the air space will have the largest likelihood of collision with each other. In some cases one may be interested in how far apart or how dissimilar the objects are. Some of these proximity-related problems will be addressed in this section.