计算机工程与应用 ›› 2014, Vol. 50 ›› Issue (3): 165-167.

• 图形图像处理 • 上一篇    下一篇

等弧长原则的NURBS曲线离散算法

贾春阳,杨  岳,陈  峰   

  1. 中南大学 交通运输工程学院,长沙 410075
  • 出版日期:2014-02-01 发布日期:2014-01-26

NURBS curve discrete algorithm based on equal arc-length principle

JIA Chunyang, YANG Yue, CHEN Feng   

  1. School of Traffic and Transportation Engineering, Central South University, Changsha 410075, China
  • Online:2014-02-01 Published:2014-01-26

摘要: NURBS曲线广泛应用于工业产品复杂曲线曲面设计中,但在实际应用中常遇到曲线离散的几何处理问题。针对NURBS曲线离散问题,提出了一种按等弧长原则对NURBS曲线进行离散的方法。该方法引入步长函数控制离散曲线段的弧长,采用积分法和迭代法调整步长函数以控制曲线的离散精度,通过误差检验方法校验曲线离散的逼近精度。通过实际算例,验证了NURBS曲线等弧长离散算法的合理性和有效性。

关键词: 非均匀有理B样条曲线(NURBS), 曲线离散, 等弧长, 曲线逼近

Abstract: NURBS curves are widely used in complex curves and curved surfaces of industrial product design, but geometry processing problems of curve discrete are found in practical applications. According to the NURBS curve discrete problems, a method of curve discrete based on equal arc-length principle is put forward. Step function is introduced to control the length of the discrete curve, and the precision of curve discrete can be controlled by adjusting step function through integration and iterative methods. The approximation accuracy of curve division is checked by error checking algorithm. The rationality and validity of the NURBS curve discrete based on equal arc-length principle are verified by practical calculation example.

Key words: Non-Uniform Rational B-Spline(NURBS) curves, curve discrete, equal arc-length, curve approximation