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Multi-strip smooth developable surfaces from sparse design curves
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DOI：10.1016/j.cad.2019.05.001.png)
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Abstract
En 中文
Creating developable surfaces from sparse design curves finds important applications in industrial design and modeling. Existing methods aim at finding a quasi-developable surface with as large developability as possible to interpolate design curves. Even so, the fabrication of industrial products with inextensible materials puts a higher request for surface developability. We propose a method to explore the space of developable surfaces whose boundaries are restricted in the close neighborhood of input design curves and aim at obtaining a smooth surface of a high degree of developability bounded by smooth curves perturbed from input curves. This is achieved by computing a developable surface with approximate boundaries, which is obtained by solving a geometric optimization problem. The performance of the proposed method is demonstrated by a number of experiments of design and fabrication of some industrial products with paper. (C) 2019 Elsevier Ltd. All rights reserved.
Keywords:
Surface design
Developable surface
Quasi-developable
Fabrication
Inextensible material
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