The difference in length of curves in Rn
We bound the difference in length of two curves in terms of their total curvatures and the Frechet distance. The bound is independent of the dimension of the ambient Euclidean space, it improves upon a bound by Cohen-Steiner and Edelsbrunner, and it generalizes a result by Färy and Chakerian.
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2011
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| Sorozat: | Acta scientiarum mathematicarum
77 No. 1-2 |
| Kulcsszavak: | Matematika |
| Tárgyszavak: | |
| Online Access: | http://acta.bibl.u-szeged.hu/16389 |
| Tartalmi kivonat: | We bound the difference in length of two curves in terms of their total curvatures and the Frechet distance. The bound is independent of the dimension of the ambient Euclidean space, it improves upon a bound by Cohen-Steiner and Edelsbrunner, and it generalizes a result by Färy and Chakerian. |
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| Terjedelem/Fizikai jellemzők: | 359-367 |
| ISSN: | 0001-6969 |