Izvorni znanstveni članak
The Hausdorff distance between some sets of points
Tomislav Marošević
; Department of Mathematics, University of Osijek, Osijek, Croatia
Sažetak
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.
Ključne riječi
Hausdorff distance; segment; circle; ellipse
Hrčak ID:
198692
URI
Datum izdavanja:
7.11.2018.
Posjeta: 4.335 *