Two-point G1 Hermite interpolation in biangular coordinates
作者：
Highlights：
• The equations of most curves in biangular coordinate system are not yet known.
• We construct G1 Hermite interpolating curves in biangular coordinates.
• Interpolation problem reduces to choosing suitable functions in biangular coordinates.
• The simplest linear equations correspond to the sectrix of Maclaurin.
• Proposed interpolation method may reduce the computational cost in some cases.
摘要
•The equations of most curves in biangular coordinate system are not yet known.•We construct G1 Hermite interpolating curves in biangular coordinates.•Interpolation problem reduces to choosing suitable functions in biangular coordinates.•The simplest linear equations correspond to the sectrix of Maclaurin.•Proposed interpolation method may reduce the computational cost in some cases.
论文关键词：65D17,68U07,Hermite interpolation,Biangular coordinates,Sectrix of Maclaurin,Convex curve
论文评审过程：Received 1 October 2014, Revised 14 January 2015, Available online 14 March 2015.
论文官网地址：https://doi.org/10.1016/j.cam.2015.02.040
