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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Nassar H. Abdel-All, Sayed Abdel-Naeim Badr, M. A. Soliman, Soad A. Hassan, Intersection curves of two implicit surfaces in R3,
J. Math. Comput. Sci., 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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