Limbeck, H. (2014). Rationalization and design with cylindrical strip models [Diploma Thesis, Technische Universität Wien]. reposiTUm. https://doi.org/10.34726/hss.2014.23599
E104 - Institut für Diskrete Mathematik und Geometrie
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Date (published):
2014
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Number of Pages:
77
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Abstract:
Dealing with the approximation and design using general cylinders, the motivation for this thesis originates from architecture. While facades tend more and more towards free-form shapes, the latter initially call for a vast amount of purpose-built items and thus increase the costs dramatically. Rationalization of those facades using developable surfaces provides a powerful method to overcome this problem. This thesis introduces a complete pipeline for the initialization of a surface covering with cylinder strips using contour generators and describes the modeling with cylindrical meshes. Starting with the basic notion of differential geometry, meshes and optimization methods which are used in the following, the rationalization technique is treated step by step and concluded by examples, before the design method is introduced, also including examples. Finally, some information on algorithms and implementation are given.