Geometric Newton-Raphson methods for plane curves
Our paper reviews Kallay's results on a geometric version of the classic Newton-Raphson method, in the context of plane curve queries, e.g. curve-curve intersection, point-curve distance computation. Variants of the geometric Newton-Raphson methods are proposed and empirically verified.
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
2013
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| Sorozat: | Acta cybernetica
21 No. 1 |
| Kulcsszavak: | Matematika, Számítástechnika, Kibernetika |
| Tárgyszavak: | |
| doi: | 10.14232/actacyb.21.1.2013.14 |
| Online Access: | http://acta.bibl.u-szeged.hu/30858 |
| Tartalmi kivonat: | Our paper reviews Kallay's results on a geometric version of the classic Newton-Raphson method, in the context of plane curve queries, e.g. curve-curve intersection, point-curve distance computation. Variants of the geometric Newton-Raphson methods are proposed and empirically verified. |
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| Terjedelem/Fizikai jellemzők: | 191-201 |
| ISSN: | 0324-721X |