Abstract
This paper shows design studies with bent panels which are originally rectangular or at least approximately rectangular. Based on recent results obtained in the geometry processing community, we algorithmically approach the questions of an exact rectangular shape of panels; of watertightness of the resulting paneling; and of the panel shapes being achievable by pure bending. We conclude the paper with an analysis of stress and strain in bent and twisted panels.
Preview
Unable to display preview. Download preview PDF.
References
Cazals, F., and Pouget, M. 2003. Estimating differential quantities using polynomial fitting of osculating jets. In Symp. Geometry processing, Eurographics, L. Kobbelt, P. Schröder, and H. Hoppe, Eds., 177–178.
Chen, J., and Han, Y. 1996. Shortest paths on a polyhedron. I. Computing shortest paths. Int. J. Comput. Geom. Appl. 6, 127–144.
do Carmo, M. 1976. Differential Geometry of Curves and Surfaces. Prentice-Hall.
Kahlert, J., Olson, M., and Zhang, H. 2010. Width-bounded geodesic strips for surface tiling. Vis. Computer. to appear.
Kimmel, R., and Sethian, J. A. 1998. Computing geodesic paths on manifolds. PNAS 95, 8431–8435.
Pirazzi, C., and Weinand, Y. 2006. Geodesic lines on free-form surfaces: optimized grids for timber rib shells. In Proc. World Conference on Timber Engineering. 7pp.
Polthier, K., and Schmies, M. 1998. Straightest geodesics on polyhedral surfaces. In Mathematical Visualization, Springer, H.-C. Hege and K. Polthier, Eds., 391–409.
Pottmann, H., Schiftner, A., Bo, P., Schmiedhofer, H., Wang, W., Baldassini, N., and Wallner, J. 2008. Freeform surfaces from single curved panels. ACM Trans. Graphics 27, 3, #76, 1–10. Proc. SIGGRAPH.
Pottmann, H., Huang, Q., Deng, B., Schiftner, A., Kilian, M., Guibas, L., and Wallner, J. 2010. Geodesic patterns. ACM Trans. Graphics 29, 4, #43, 1–10. Proc. SIGGRAPH.
Rose, K., Sheffer, A., Wither, J., Cani, M., and Thibert, B. 2007. Developable surfaces from arbitrary sketched boundaries. In Symp. Geom. Processing, A. Belyaev and M. Garland, Eds. 163–172.
Shelden, D. 2002. Digital surface representation and the constructibility of Gehry’s architecture. PhD thesis, M.I.T.
Spuybroek, L. 2004. NOX: Machining Architecture. Thames & Hudson.
Surazhsky, V., Surazhsky, T., Kirsanov, D., Gortler, S., and Hoppe, H. 2005. Fast exact and approximate geodesics on meshes. ACM Trans. Graphics 24, 3, 553–560. Proc. SIGGRAPH.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer-Verlag/Vienna
About this paper
Cite this paper
Wallner, J. et al. (2010). Tiling Freeform Shapes With Straight Panels: Algorithmic Methods.. In: Ceccato, C., Hesselgren, L., Pauly, M., Pottmann, H., Wallner, J. (eds) Advances in Architectural Geometry 2010. Springer, Vienna. https://doi.org/10.1007/978-3-7091-0309-8_5
Download citation
DOI: https://doi.org/10.1007/978-3-7091-0309-8_5
Publisher Name: Springer, Vienna
Print ISBN: 978-3-7091-0308-1
Online ISBN: 978-3-7091-0309-8