Journal
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Volume 329, Issue -, Pages 164-172Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cam.2017.02.044
Keywords
Developable surface; G(1) connection; de Casteljau algorithm
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Funding
- National Natural Science Foundation of China [11401077, 11671068, 11271060]
- Fundamental Research of Civil Aircraft of China [MJ-F-2012-04]
- Fundamental Research Funds for the Central Universities of China [DUT16LK38]
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For potential applications in geometric design and manufacturing of material, the G(1) connection of many pieces of developable surfaces is an important issue. In this paper, by using de Casteljau algorithm we study the G(1) connection of four pieces of developable surfaces with Bezier boundary curves. We convert these surfaces to tensor form firstly, then characterize the constrains of the control points of the surfaces need to satisfy when G(1) connecting them. This method can also be extended to the case when the developable surfaces possess Bezier boundary curves with different degrees. (C) 2017 Elsevier B.V. All rights reserved.
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