Optimizing B-spline surfaces for developability and paneling architectural freeform surfaces
KAUST DepartmentApplied Mathematics and Computational Science Program
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Visual Computing Center (VCC)
Online Publication Date2019-02-10
Print Publication Date2019-06
Permanent link to this recordhttp://hdl.handle.net/10754/653031
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AbstractMotivated by applications in architecture and design, we present a novel method for increasing the developability of a B-spline surface. We use the property that the Gauss image of a developable surface is 1-dimensional and can be locally well approximated by circles. This is cast into an algorithm for thinning the Gauss image by increasing the planarity of the Gauss images of appropriate neighborhoods. A variation of the main method allows us to tackle the problem of paneling a freeform architectural surface with developable panels, in particular enforcing rotational cylindrical, rotational conical and planar panels, which are the main preferred types of developable panels in architecture due to the reduced cost of manufacturing.
CitationGavriil K, Schiftner A, Pottmann H (2019) Optimizing B-spline surfaces for developability and paneling architectural freeform surfaces. Computer-Aided Design 111: 29–43. Available: http://dx.doi.org/10.1016/j.cad.2019.01.006.
SponsorsWe would like to thank Heinz Schmiedhofer for providing the scan and picture of the leather surface example in Fig. 8. This project has received funding from the European Union's Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 675789.