TY - GEN
T1 - G1-blend between a differentiable superquadric of revolution and a plane or a sphere using Dupin cyclides
AU - Garnier, Lionel
AU - Foufou, Sebti
AU - Fougerolle, Yohan
PY - 2008
Y1 - 2008
N2 - In this article, we present a method to perform G1- continuous blends between a differentiable superquadric of revolution and a plane or a sphere using Dupin cyclides. These blends are patches delimited by four lines of curvature. They allow to avoid parameterization problems that may occur when parametric surfaces are used. Rational quadratic B'ezier curves are used to approximate the principal circles of the Dupin cyclide blends and thus a complex 3D problem is now reduced to a simpler 2D problem. We present the necessary conditions to be satisfied to create the blending patches and illustrate our approach by a number of superellipsoid/plane and superellipsoid/sphere blending examples.
AB - In this article, we present a method to perform G1- continuous blends between a differentiable superquadric of revolution and a plane or a sphere using Dupin cyclides. These blends are patches delimited by four lines of curvature. They allow to avoid parameterization problems that may occur when parametric surfaces are used. Rational quadratic B'ezier curves are used to approximate the principal circles of the Dupin cyclide blends and thus a complex 3D problem is now reduced to a simpler 2D problem. We present the necessary conditions to be satisfied to create the blending patches and illustrate our approach by a number of superellipsoid/plane and superellipsoid/sphere blending examples.
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U2 - 10.1109/SITIS.2008.73
DO - 10.1109/SITIS.2008.73
M3 - Conference contribution
AN - SCOPUS:60349104242
SN - 9780769534930
T3 - SITIS 2008 - Proceedings of the 4th International Conference on Signal Image Technology and Internet Based Systems
SP - 435
EP - 442
BT - SITIS 2008 - Proceedings of the 4th International Conference on Signal Image Technology and Internet Based Systems
T2 - 4th International Conference on Signal Image Technology and Internet Based Systems, SITIS 2008
Y2 - 30 November 2008 through 3 December 2008
ER -