期刊
COMPUTER-AIDED DESIGN
卷 111, 期 -, 页码 29-43出版社
ELSEVIER SCI LTD
DOI: 10.1016/j.cad.2019.01.006
关键词
Developable surface; Spline surface; Architectural geometry; Computational differential geometry; Constrained optimization
资金
- European Union's Horizon 2020 research and innovation programme under the Marie Skfodowska-Curie Grant [675789]
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. (C) 2019 Elsevier Ltd. All rights reserved.
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