Differential geometry of self-intersection curves of a parametric surface in R3

Soad A. Hassan, Sayed Abdel-Naeim Badr

Abstract


This paper presents algorithms for computing all the differential geometry properties of Frenet apparatus of ”self-intersection curves of a parametric surface and the intersection curves of two parametric surfaces” in R3 , for transversal and tangential intersection. Some examples are given and plotted.


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How to Cite this Article:

Soad A. Hassan, Sayed Abdel-Naeim Badr, Differential geometry of self-intersection curves of a parametric surface in R3, Journal of Mathematical and Computational Science, Vol 6, No 6 (2016), 1108-1132

Copyright © 2016 Soad A. Hassan, Sayed Abdel-Naeim Badr. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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