Differential geometry of intersection curves in R 4 of three implicit surfaces

Authors:
Osmar Aléssio
Affiliations:
UNESP -- São Paulo State University, Department of Mathematics, Ilha Solteira, SP, Brazil
Venue:
Computer Aided Geometric Design
Year:
2009

Citing 5
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Abstract

We present algorithms for computing the differential geometry properties of intersection curves of three implicit surfaces in R^4, using the implicit function theorem and generalizing the method of X. Ye and T. Maekawa for 4-dimension. We derive t,n,b"1,b"2 vectors and curvatures (k"1,k"2,k"3) for transversal intersections of the intersection problem.