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Bertrand Belbis

Researcher at University of Burgundy

Publications -  4
Citations -  15

Bertrand Belbis is an academic researcher from University of Burgundy. The author has contributed to research in topics: Villarceau circles & Dupin cyclide. The author has an hindex of 2, co-authored 4 publications receiving 15 citations.

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Construction of 3D Triangles on Dupin Cyclides

TL;DR: The properties of these surfaces are used to prove that three families of circles meridian arcs, parallel arcs, and Villarceau circles can be computed on every Dupin cyclide, and a geometric algorithm to compute these circles so that they define the edges of a 3D triangle on the Dupincyclide is presented.
Proceedings Article

Conversion of biquadratic rational Bézier surfaces into patches of particular Dupin cyclides: The torus and the double sphere

TL;DR: The condi ti s that the B́ezier surface should satisfy to be convertible are given, and a new conversion algorithm is presented to convert the torus or double sphere patch corresponding to a Bézier surface into Dupin cyclide patches.

Construction de triangles rectangles 3D à bords circulaires passant par trois points donnés

TL;DR: In this article, the cyclides de Dupin 3D a bords circulaires of the meridien and the paralleles of a collier have been reconstructed in 3D.
Proceedings ArticleDOI

An Algorithm to Construct 3D Triangles with Circular Edges

TL;DR: The goal of this paper is to construct, onto a Dupin cyclide, 3D triangles with circular edges: a meridian arc, a parallel arc and a Villarceau circle arc.