Optimized design of Bézier surface through Bézier geodesic quadrilateral

作者：

Highlights：

• An optimized geometric construction method for Bézier geodesic quadrilateral.

• A practical construction scheme for surface interpolating geodesic quadrilateral.

• We identify the precise degrees of freedom in terms of control points.

• The constructed surface and geodesics with low degree.

摘要

•An optimized geometric construction method for Bézier geodesic quadrilateral.•A practical construction scheme for surface interpolating geodesic quadrilateral.•We identify the precise degrees of freedom in terms of control points.•The constructed surface and geodesics with low degree.

论文关键词：Bézier surface,Interpolation,Geodesic quadrilateral,Optimized design

论文评审过程：Received 27 August 2013, Revised 23 March 2014, Available online 17 June 2014.

论文官网地址：https://doi.org/10.1016/j.cam.2014.06.017