Intersection curves of two implicit surfaces in R3

Nassar H. Abdel-All, Sayed Abdel-Naeim Badr, M. A. Soliman, Soad A. Hassan

Abstract


We present algorithms for computing the di§erential geometry properties of Frenet apparatus of intersection curves of two implicit surfaces in R3 ; for transversal and tangential intersection using the implicit function theorem. We obtain a classiÖcation of the singularities on the intersection curve. Some examples are given and plotted.

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How to Cite this Article:

Nassar H. Abdel-All, Sayed Abdel-Naeim Badr, M. A. Soliman, Soad A. Hassan, Intersection curves of two implicit surfaces in R3, Journal of Mathematical and Computational Science, Vol 2, No 2 (2012), 152-171

Copyright © 2012 Nassar H. Abdel-All, Sayed Abdel-Naeim Badr, M. A. Soliman, Soad A. Hassan. 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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