带有给定切线多边形的保形NURBS样条曲线

NURBS Spline Curves with Given Tangent Polygons

讨论与给定切线多边形相切的NURBS曲线,所构造的曲线是C2连续的闭曲线,且对切线多边形保形。非均匀有理三次B样条的所有deBoor点由切线多边形的顶点直接计算生成。

This paper presents a method for constructing NURBS spline curve with given tangent polygon. The curve is closed and shape preserving to its tangent polygon. The all DeBoor points is computed by vertex of tangent polygon.