Geodesic
Enforcing Surface Rigidity by Shadow-Line Constraints
Journal for geometry and graphics, Tome 27 (2023) no. 1, pp. 59-67.

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

A surface is under pressure and deforming. Is it bending without or with deforming the surface-metric? This is an important question in many applications. Mathematical concepts to deal with this kind of problems are differential geometry and infinitesimal bendings. Shadow-curves are an intuitive visualization tool. We prove in this paper that as long as the shadow-lines stay stationary during the deformation the surface is infinitesimally rigid.
Classification : 65D17, 65D18
Mots-clés : Differential geometry, computer aided design, computer graphics, computational geometry 
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H. Hagen . Enforcing Surface Rigidity by Shadow-Line Constraints. Journal for geometry and graphics, Tome 27 (2023) no. 1, pp. 59-67. http://geodesic.mathdoc.fr/item/JGG_2023_27_1_JGG_2023_27_1_a5/