Geometric Newton-Raphson methods for plane curves

Gábor Valasek; Júlia Horváth; András Jámbori; Levente Sallai

doi:10.14232/actacyb.21.1.2013.14

Geometric Newton-Raphson methods for plane curves

Authors

Gábor Valasek
Júlia Horváth
András Jámbori
Levente Sallai

DOI:

https://doi.org/10.14232/actacyb.21.1.2013.14

Abstract

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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Published

2013-01-01

How to Cite

Valasek, G., Horváth, J., Jámbori, A., & Sallai, L. (2013). Geometric Newton-Raphson methods for plane curves. Acta Cybernetica, 21(1), 191–201. https://doi.org/10.14232/actacyb.21.1.2013.14