Geodesic
From A to B: New Methods to Interpolate Two Poses
Journal for geometry and graphics, Tome 22 (2018) no. 1, pp. 87-98.

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

We present two methods to interpolate between two given rigid body displacements. Both are based on linear interpolation in the ambient space of well-known curved point models for the group of rigid body displacements. The resulting motions are either vertical Darboux motions or cubic circular motions. Both are rational of low degree and lie in the cylinder group defined by the two input poses. We unveil the essential parameters in the construction of these motions and discuss some of their properties.
Classification : 70B10, 53A17, 65D17, 14R25
Mots-clés : Darboux motion, cubic circular motion, motion interpolation, line-symmetric motion 
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     author = {H.-P. Schroecker },
     title = {From {A} to {B:} {New} {Methods} to {Interpolate} {Two} {Poses}},
     journal = {Journal for geometry and graphics},
     pages = {87--98},
     publisher = {mathdoc},
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     year = {2018},
     url = {http://geodesic.mathdoc.fr/item/JGG_2018_22_1_JGG_2018_22_1_a8/}
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H.-P. Schroecker . From A to B: New Methods to Interpolate Two Poses. Journal for geometry and graphics, Tome 22 (2018) no. 1, pp. 87-98. http://geodesic.mathdoc.fr/item/JGG_2018_22_1_JGG_2018_22_1_a8/