Journal for Geometry and Graphics 17 (2013), No. 2, 193--204
Copyright Heldermann Verlag 2013
Force Driven Ruled Surfaces
Markus Hagemann
Institut für Geometrie, Fachbereich Mathematik, Technische Universität, Zellescher Weg 12-14, 01069 Dresden, Germany
markus.hagemann@tu-dresden.de
Daniel Klawitter
Institut für Geometrie, Fachbereich Mathematik, Technische Universität, Zellescher Weg 12-14, 01069 Dresden, Germany
daniel.klawitter@tu-dresden.de
Daniel Lordick
Institut für Geometrie, Fachbereich Mathematik, Technische Universität, Zellescher Weg 12-14, 01069 Dresden, Germany
daniel.lordick@tu-dresden.de
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.
Keywords: Ruled surfaces, dual sphere, dynamic relaxation, line geometry, form finding, lightweight structure.
MSC: 53A25; 51M30, 70G65
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