TY - GEN
T1 - Conversion of biquadratic rational Bézier surfaces into patches of particular Dupin cyclides
T2 - 17th International Conference in Central Europe on Computer Graphics, Visualization and Computer Vision, WSCG'2009
AU - Garnier, Lionel
AU - Belbis, Bertrand
AU - Foufou, Sebti
PY - 2009
Y1 - 2009
N2 - Toruses and double spheres are particular cases of Dupin cyclides. In this paper, we study the conversion of rational biquadratic Bézier surfaces into Dupin cyclide patches. We give the conditions that the Bézier 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.
AB - Toruses and double spheres are particular cases of Dupin cyclides. In this paper, we study the conversion of rational biquadratic Bézier surfaces into Dupin cyclide patches. We give the conditions that the Bézier 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.
KW - Rational biquadratic Bézier surfaces
KW - Torus and Dupin cyclides surfaces
UR - http://www.scopus.com/inward/record.url?scp=79952086002&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=79952086002&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:79952086002
SN - 9788086943930
T3 - 17th International Conference in Central Europe on Computer Graphics, Visualization and Computer Vision, WSCG'2009 - In Co-operation with EUROGRAPHICS, Full Papers Proceedings
SP - 101
EP - 107
BT - 17th International Conference in Central Europe on Computer Graphics, Visualization and Computer Vision, WSCG'2009 - In Co-operation with EUROGRAPHICS, Full Papers Proceedings
Y2 - 2 February 2009 through 5 February 2009
ER -