# Topology of the Intersection of Two Parameterized Surfaces, Using Computations in 4D Space

1 GALAAD2 - Géométrie , Algèbre, Algorithmes
CRISAM - Inria Sophia Antipolis - Méditerranée
Abstract : The intersection curve of two parameterized surfaces is characterized by 3 equations $F_i(s,t) = G_i(u,v)$, $i = 1, 2, 3$ of 4 variables. So, it is the image of a curve in four dimensional space. We provide a method to draw such curve with a guaranteed topology.
Document type :
Book sections
Domain :
Liste complète des métadonnées

Cited literature [9 references]

https://hal.archives-ouvertes.fr/hal-01292835
Contributor : André Galligo <>
Submitted on : Friday, March 25, 2016 - 12:13:33 PM
Last modification on : Thursday, May 3, 2018 - 1:32:58 PM
Document(s) archivé(s) le : Monday, November 14, 2016 - 3:28:29 AM

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### Citation

Stéphane Chau, André Galligo. Topology of the Intersection of Two Parameterized Surfaces, Using Computations in 4D Space . Tor Dokken Georg Muntingh. SAGA – Advances in ShApes, Geometry, and Algebra, 10, Springer, pp.123-145, 2014, Geometry and computing, ⟨10.1007/978-3-319-08635-4_7⟩. ⟨hal-01292835⟩

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