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


Autoria(s): Alessio, Osmar
Contribuinte(s)

Universidade Estadual Paulista (UNESP)

Data(s)

20/05/2014

20/05/2014

01/05/2009

Resumo

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.

Formato

455-471

Identificador

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

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

0167-8396

http://hdl.handle.net/11449/10527

10.1016/j.cagd.2008.12.001

WOS:000265813300008

Idioma(s)

eng

Publicador

Elsevier B.V.

Relação

Computer Aided Geometric Design

Direitos

closedAccess

Palavras-Chave #Implicit-implicit-implicit intersection #Surface-surface-surface intersection #Transversal intersection #Geometric properties #Implicit curves
Tipo

info:eu-repo/semantics/article