Geodesic
Blending of Spheres by Rotation-Minimizing Surfaces
Journal for geometry and graphics, Tome 19 (2015) no. 2, pp. 189-2.

Voir la notice de l'article provenant de la source Heldermann Verlag

Computation of the blending surface of two given spheres is discussed in this paper. The blending surface (or skin), although not uniquely defined in the literature, is normally required to touch the given spheres in plane curves (i.e., in circles). The main advantage of the presented method over the existing ones is the minimization of unwanted distortions of the blending surface. This is achieved by the application of rotation-minimizing frames for the transportation of a vector along a given curve, which technique, beyond its theoretical interest, helps us to determine the corresponding points along the touching circles of the two spheres. Parametric curves of the blending surface are also defined by the help of the rotation minimizing transportation.
Classification : 68U05, 65D17, 53A04
Mots-clés : Sphere based surface design, skinning, blending surface, rotation minimizing frame 
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     author = {M. Hoffmann and J. Monterde and E. Troll },
     title = {Blending of {Spheres} by {Rotation-Minimizing} {Surfaces}},
     journal = {Journal for geometry and graphics},
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     publisher = {mathdoc},
     volume = {19},
     number = {2},
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M. Hoffmann; J. Monterde; E. Troll . Blending of Spheres by Rotation-Minimizing Surfaces. Journal for geometry and graphics, Tome 19 (2015) no. 2, pp. 189-2. http://geodesic.mathdoc.fr/item/JGG_2015_19_2_JGG_2015_19_2_a2/