G1 continuity of four pieces of developable surfaces with Bézier boundaries

作者：

Highlights：

• We study G1 connection of four pieces of developable surfaces with Bézier boundaries.

• We give the constrains of the control points of the surfaces when G1 connecting them.

• As the shape parameters, μ1,μ2,μ,λ can control the shape of the composite surface.

• The method can be extended to the case when boundary curves have different degrees.

摘要

•We study G1 connection of four pieces of developable surfaces with Bézier boundaries.•We give the constrains of the control points of the surfaces when G1 connecting them.•As the shape parameters, μ1,μ2,μ,λ can control the shape of the composite surface.•The method can be extended to the case when boundary curves have different degrees.

论文关键词：Developable surface,G1 connection,de Casteljau algorithm

论文评审过程：Received 14 September 2016, Revised 2 December 2016, Available online 8 March 2017, Version of Record 17 October 2017.

论文官网地址：https://doi.org/10.1016/j.cam.2017.02.044