A generalization of surface family with common line of curvature

作者：

Highlights：

• We deduce the condition for the given curve to be the line of curvature on surface when the marching-scale functions are in more general expression.

• Two functions θ(s) and λ(s) control the shape of the surface.

• We classify the conditions by the expression of θ(s).

摘要

Highlights•We deduce the condition for the given curve to be the line of curvature on surface when the marching-scale functions are in more general expression.•Two functions θ(s) and λ(s) control the shape of the surface.•We classify the conditions by the expression of θ(s).

论文关键词：Line of curvature,Frenet frame,Marching-scale functions

论文评审过程：Available online 20 April 2013.

论文官网地址：https://doi.org/10.1016/j.amc.2013.03.077