#### Pregled bibliografske jedinice broj: 930287

## The Hausdorff distance between some sets of points

The Hausdorff distance between some sets of points // Mathematical Communications (2018) (znanstveni, prihvaćen)

**Naslov**

The Hausdorff distance between some sets of points

**Autori**

Marošević, Tomislav

**Vrsta, podvrsta**

Radovi u časopisima, -, znanstveni

**Izvornik**

Mathematical Communications (2018)

**Status rada**

Prihvaćen

**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