B样条曲线生成原理及实现

为了进一步推广B样条曲线在各领域的应用,本文从B样条曲线的概念和定义出发,按节点矢量中节点的分布情况把B样条曲线划分成均匀B样条曲线、准均匀B样条曲线、分段贝齐尔曲线、一般非均匀B样条曲线4种类型,分别对它们的特点和实现方法进行了详细阐述,最后给出了一个完整的各种B样条曲线生成代码和运行结果,并进行了详细的对比分析。对于在几何造型和其它方面的应用具有一定的实际价值。

The Creating Principle and Realization of B-spline Curve

To further promote the application in various fields, this paper described the basic concept and definition of B- spline Curve and they were divided into four types under nodes distribution of node vector. The four types am a uniform B- spline curve, a quasi-uniform B-spline curve, a sub-Brzier curve, and a general non-uniform B-spline curve. Four methods have been introduced in detail and analyzed comparatively. Their source codes, running results and a detailed comparative analysis were given. This paper has certain application value to implement the geometric modeling and others.