Intersection curves of hypersurfaces in R4

Authors:
Nassar H. Abdel-All;Sayed Abdel-Naeim Badr;M. A. Soliman;Soad A. Hassan
Affiliations:
Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, Egypt;Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, Egypt;Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, Egypt;Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, Egypt
Venue:
Computer Aided Geometric Design
Year:
2012

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Abstract

We present algorithms for computing the differential geometry properties of Frenet apparatus (t,n,b"1,b"2,@k"1,@k"2,@k"3) of intersection curves of implicit-parametric-parametric and implicit-implicit-parametric hypersurfaces in R^4, for transversal intersection. Some examples are given and plotted.