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

Alessio, Osmar [UNESP]2014-05-202014-05-202009-05-01Computer Aided Geometric Design. Amsterdam: Elsevier B.V., v. 26, n. 4, p. 455-471, 2009.0167-8396http://hdl.handle.net/11449/10527We 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. (C) 2008 Elsevier B.V. All rights reserved.455-471engImplicit-implicit-implicit intersectionSurface-surface-surface intersectionTransversal intersectionGeometric propertiesImplicit curvesDifferential geometry of intersection curves in R(4) of three implicit surfacesArtigo10.1016/j.cagd.2008.12.001WOS:000265813300008Acesso restrito