| 平面B样条曲线到四点法曲线的转换问题 |
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| 引用本文： | 梁景鸿,汪国强.平面B样条曲线到四点法曲线的转换问题[J].华南理工大学学报(自然科学版),2001,29(4):75-78. |
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| 作者姓名： | 梁景鸿 汪国强 |
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| 作者单位： | 华南理工大学应用数学系, |
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| 摘 要： | 研究了离散化B样条曲线的问题，提出了一个根据B样条曲线形状自适应地取样的方案，使B样条曲线可用四点法曲线近似表示，针对3次准均匀B样条曲线，找到一个效果理想、操作简单的取样方案，在参数区间上等距取3（n-1）个样本点（n为B样条曲线特征多边形的项点数）。
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| 关 键 词： | B样条曲线 四点法曲线 取样 形状特征 样本点 曲线生成 几何作图 |
| 文章编号： | 1000-565X(2001)04-0075-04 |
Problem of Converting Plane B_Spline Curve into 4_Point Method Curve |
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| Liang Jing_hong,Wang Guo_qiang.Problem of Converting Plane B_Spline Curve into 4_Point Method Curve[J].Journal of South China University of Technology(Natural Science Edition),2001,29(4):75-78. |
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| Authors: | Liang Jing_hong Wang Guo_qiang |
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| Abstract: | The paper studies the problem of discrete B_spline. It offers an approach to the approximate expression of the B_spline curve by 4_point method curve, which is based on the method of self_adaptive (to the shape of a curve) sampling of a B_spline curve. In addition, a simple and ideal way of sampling on cubic open uniform B_spline type curve is given: 3( n -1) equidistant sample points are taken from a parameter interval ( n is the number of vertex of a B_spline curve characteristic polygon). |
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| Keywords: | B_spline curve 4_point method curve sampling character of shape |
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