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Pregled bibliografske jedinice broj: 930287

The Hausdorff distance between some sets of points


Marošević, Tomislav
The Hausdorff distance between some sets of points // Mathematical Communications, 23 (2018), 2; 247-257 (članak, znanstveni)


Naslov
The Hausdorff distance between some sets of points

Autori
Marošević, Tomislav

Izvornik
Mathematical Communications (1331-0623) 23 (2018), 2; 247-257

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Hausdorff distance, segment, circle, ellipse

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.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

Ustanove
Sveučilište u Osijeku, Odjel za matematiku