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| 曹锋,张克君.三阶Bézier曲线的三类节点缩减算子.软件学报,1999,10(3):327-331 |
| 三阶Bézier曲线的三类节点缩减算子 |
| Three Kinds of Node-reduce Operator on 3rd Order Bzier Curve |
| 投稿时间：1997-10-16 修订日期：1998-03-03 |
| DOI： |
| 中文关键词: Bézier曲线,曲线延展,节点,缩减算子,最简Bézier表示. |
| 英文关键词:Bézier curve, extension of curves, node, node-reduce operator, simplest Bézier expression. |
| 基金项目: |
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| 摘要点击次数: 2162 |
| 全文下载次数: 2243 |
| 中文摘要: |
| 研究曲线拟合和编辑中的分段Bézier曲线的简化问题.定义了3类Bézier曲线的节点缩减算子以及基于其上的算法.实现了分段曲线的最简Bézier表示,并给出严格的数学证明.上述方法已被应用到所开发的软件中. |
| 英文摘要: |
| The simplification of Bézier curves in fitting and editing is discussed, three kinds of node-reduce operators are defined, and the algorithms based on them are given in this paper. The simplest Bézier expression can be gotten through the algorithms, and a strict proof is given. These algorithms have been already used in the developing software. |
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