Original scientific paper

The Hausdorff distance between some sets of points

Tomislav Marošević ; Department of Mathematics, University of Osijek, Osijek, Croatia

Abstract

Hausdorff distance can be used in various areas, where the problems of shape matching and comparison appear. We look at the Hausdorff distance between two hyperspheres in \(\mathbb{R}^n\). With respect to different geometric objects, the Hausdorff distance between a segment and a hypersphere in \(\mathbb{R}^n\) is given, too. Using the Mahalanobis distance, a modified Hausdorff distance between a segment and an ellipse in the plane, and generally between a segment and a hyper-ellipsoid in \(\mathbb{R}^n\) is adopted. Finally, the modified Hausdorff distance between ellipses is obtained.

Keywords

Hausdorff distance; segment; circle; ellipse

Hrčak ID:

198692

URI

https://hrcak.srce.hr/198692

Publication date:

7.11.2018.

Visits: 4.335 *