Minkowski operations of sets with application to robot localization
Résumé
This papers shows that using separators, which is a pair of two complementary contractors, we can
easily and efficiently solve the localization problem of a robot with sonar measurements in an unstructured
environment. We introduce separators associated with the Minkowski sum and the Minkowski
difference in order to facilitate the resolution. A test-case is given in order to illustrate the principle
of the approach.