Type
ArticleKAUST Department
Visual Computing Center (VCC)Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Date
2020-08-12Online Publication Date
2020-08-12Print Publication Date
2020-07-08Permanent link to this record
http://hdl.handle.net/10754/665654
Metadata
Show full item recordAbstract
We propose a novel type of planar-to-spatial deployable structures that we call elastic geodesic grids. Our approach aims at the approximation of freeform surfaces with spatial grids of bent lamellas which can be deployed from a planar configuration using a simple kinematic mechanism. Such elastic structures are easy-to-fabricate and easy-to-deploy and approximate shapes which combine physics and aesthetics. We propose a solution based on networks of geodesic curves on target surfaces and we introduce a set of conditions and assumptions which can be closely met in practice. Our formulation allows for a purely geometric approach which avoids the necessity of numerical shape optimization by building on top of theoretical insights from differential geometry. We propose a solution for the design, computation, and physical simulation of elastic geodesic grids, and present several fabricated small-scale examples with varying complexity. Moreover, we provide an empirical proof of our method by comparing the results to laser-scans of the fabricated models. Our method is intended as a form-finding tool for elastic gridshells in architecture and other creative disciplines and should give the designer an easy-to-handle way for the exploration of such structures.Citation
Pillwein, S., Leimer, K., Birsak, M., & Musialski, P. (2020). On elastic geodesic grids and their planar to spatial deployment. ACM Transactions on Graphics, 39(4). doi:10.1145/3386569.3392490Sponsors
This research was mainly funded by the Vienna Science and Technology Fund (WWTF ICT15-082) and partially also by the Austrian Science Fund (FWF P27972-N31). The authors thank Florian Rist, Christian Müller, and Helmut Pottmann for inspiring discussions, as well as Etienne Vouga and Josh Vekhter for sharing code.Journal
ACM Transactions on GraphicsarXiv
2007.00201ae974a485f413a2113503eed53cd6c53
10.1145/3386569.3392490