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

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.
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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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