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
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