Geodesic
Force Driven Ruled Surfaces
Journal for geometry and graphics, Tome 17 (2013) no. 2, pp. 193-204 Cet article a éte moissonné depuis la source Heldermann Verlag

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This paper presents a mathematical strategy for shaping ruled surfaces under the mission statement 'Form Follows Force'. We motivate why we focus on the class of ruled surfaces, we show on which principles and preliminary work this paper is based on and how we exploit line geometry to directly compute optimized ruled surfaces in near real-time. Our aim is to provide a form finding tool for lightweight structures in a common design environment.
Classification : 53A25, 51M30, 70G65
Mots-clés : Ruled surfaces, dual sphere, dynamic relaxation, line geometry, form finding, lightweight structure 
@article{JGG_2013_17_2_JGG_2013_17_2_a5,
     author = {M. Hagemann and D. Klawitter and D. Lordick },
     title = {Force {Driven} {Ruled} {Surfaces}},
     journal = {Journal for geometry and graphics},
     pages = {193--204},
     year = {2013},
     volume = {17},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JGG_2013_17_2_JGG_2013_17_2_a5/}
}
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M. Hagemann; D. Klawitter; D. Lordick . Force Driven Ruled Surfaces. Journal for geometry and graphics, Tome 17 (2013) no. 2, pp. 193-204. http://geodesic.mathdoc.fr/item/JGG_2013_17_2_JGG_2013_17_2_a5/