Geodesic
Enforcing Surface Rigidity by Shadow-Line Constraints
Journal for geometry and graphics, Tome 27 (2023) no. 1, pp. 59-67 Cet article a éte moissonné depuis la source Heldermann Verlag

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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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     author = {H. Hagen },
     title = {Enforcing {Surface} {Rigidity} by {Shadow-Line} {Constraints}},
     journal = {Journal for geometry and graphics},
     pages = {59--67},
     year = {2023},
     volume = {27},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JGG_2023_27_1_JGG_2023_27_1_a5/}
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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/