Complex Surface Approximation with Developable Strips

• Autores: Yousef Anastas, Margaux Gillet, Laurie Rowenczyn, Olivier Baverel
• Localización: Journal of the International Association for Shell and Spatial Structures, ISSN-e 1996-9015, ISSN 1028-365X, Vol. 57, Nº. 2, 2016, págs. 133-143
• Idioma: inglés
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• Resumen

  • Unfolding double-curvature surfaces is a problem that is widely encountered in engineering and increasingly met in architecture and digital fabrication processes. In the context of building construction, the process used to unfold the complex surface matters more than the unfolded result. Mastering the process of developable surfaces is fundamental to the construction method in order to keep the resulting geometry faithful to the initial one, to increase structural efficiency and material savings. The interest in unfolding a surface lies in its feasibility, in order to build surfaces with materials that can be elastically bent. This study is based on geodesic curves on surfaces and involves a process including parameters such as the number of geodesics and the division of these geodesics depending on the curvature of the surface, to be as close as possible to the initial surface. The algorithm approximates the initial surface by building developable strips between two successive geodesic curves.