Intersection curves of two implicit surfaces in R3
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.
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.
Cite this article
N. H. Abdel-All, S. A.-N. Badr, M. A. Soliman, S. A. Hassan, Intersection curves of two implicit surfaces in R3, J. Math. Comput. Sci. 2 (2012), 152–171.
BibTeX
@article{Abdel-All2012,
author = {Abdel-All, Nassar H. and Badr, Sayed Abdel-Naeim and Soliman, M. A. and Hassan, Soad A.},
title = {Intersection curves of two implicit surfaces in R3},
journal = {J. Math. Comput. Sci.},
volume = {2},
year = {2012},
pages = {152--171},
doi = {}
}