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

Alessio, Osmar

Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/11449/10527

Title:

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

Author(s):

Alessio, Osmar

Institution:

Universidade Estadual Paulista (UNESP)

ISSN:

0167-8396

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. (C) 2008 Elsevier B.V. All rights reserved.

Issue Date:

1-May-2009

Citation:

Computer Aided Geometric Design. Amsterdam: Elsevier B.V., v. 26, n. 4, p. 455-471, 2009.

Time Duration:

455-471

Publisher:

Elsevier B.V.

Keywords:

Implicit-implicit-implicit intersection
Surface-surface-surface intersection
Transversal intersection
Geometric properties
Implicit curves

Source:

http://dx.doi.org/10.1016/j.cagd.2008.12.001

URI:

Access Rights:

Acesso restrito

Type:

outro

Source:

http://repositorio.unesp.br/handle/11449/10527

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