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

Date issued

2009

Journal Title

Journal ISSN

Volume Title

Publisher

Václav Skala - UNION Agency

Abstract

Toruses and double spheres are particular cases of Dupin cyclides. In this paper, we study the conversion of rational biquadratic B´ezier surfaces into Dupin cyclide patches. We give the conditions that the B´ezier surface should satisfy to be convertible, and present a new conversion algorithm to construct the torus or double sphere patch corresponding to a given Bézier surface, some conversion examples are illustrated and commented.

Description

Subject(s)

Béziérovy plochy, Dupinovy cyklidy, torus

Citation

WSCG '2009: Communication Papers Proceedings: The 17th International Conference in Central Europe on Computer Graphics, Visualization and Computer Vision in co-operation with EUROGRAPHICS: University of West Bohemia, Plzen, Czech Republic, February 2 - 5, 2009, p. 101-108.
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