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    Optimizing B-spline surfaces for developability and paneling architectural freeform surfaces

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    Type
    Article
    Authors
    Gavriil, Konstantinos
    Schiftner, Alexander
    Pottmann, Helmut cc
    KAUST Department
    Applied Mathematics and Computational Science Program
    Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
    Visual Computing Center (VCC)
    Date
    2019-02-10
    Online Publication Date
    2019-02-10
    Print Publication Date
    2019-06
    Permanent link to this record
    http://hdl.handle.net/10754/653031
    
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    Abstract
    Motivated 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.
    Citation
    Gavriil 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.
    Sponsors
    We 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.
    Publisher
    Elsevier BV
    Journal
    Computer-Aided Design
    DOI
    10.1016/j.cad.2019.01.006
    Additional Links
    https://www.sciencedirect.com/science/article/pii/S0010448518304780
    ae974a485f413a2113503eed53cd6c53
    10.1016/j.cad.2019.01.006
    Scopus Count
    Collections
    Articles; Applied Mathematics and Computational Science Program; Visual Computing Center (VCC); Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

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