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Distance measures for point sets and their computation

✍ Scribed by Thomas Eiter; Heikki Mannila

Publisher
Springer-Verlag
Year
1997
Tongue
English
Weight
307 KB
Volume
34
Category
Article
ISSN
0001-5903

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πŸ“œ SIMILAR VOLUMES

Regularity of Distance Measures and Sets
Regularity of Distance Measures and Sets
✍ Pertti Mattila; Per SjΓΆlin πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 236 KB

## Abstract Let ΞΌ be a Radon measure with compact support in IR^n^ such that equation image We show that the imw of ΞΌ x ΞΌ under the distance map (x, y) β†’ |x‐ y| is an absolutely continuous measure with density of class C^a^‐(n+1)/2. As a corollary we get that If AC IR^n^ is a Suslin set with Haus