• 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Mathematical Problems in Engineering >Shape Modification for lambda-Bezier Curves Based on Constrained Optimization of Position and Tangent Vector
【24h】

Shape Modification for lambda-Bezier Curves Based on Constrained Optimization of Position and Tangent Vector

机译：基于位置和切向量约束优化的Lambda-Bezier曲线的形状修改

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

Besides inheriting the properties of classical Bezier curves of degree n, the corresponding lambda-Bezier curves have a good performance on adjusting their shapes by changing shape control parameter. Specially, in the case where the shape control parameter equals zero, the lambda-Bezier curves degenerate to the classical Bezier curves. In this paper, the shape modification of lambda-Bezier curves by constrained optimization of position and tangent vector is investigated. The definition and properties of lambda-Bezier curves are given in detail, and the shape modification is implemented by optimizing perturbations of control points. At the same time, the explicit formulas of modifying control points and shape parameter are obtained by Lagrange multiplier method. Using this algorithm, lambda-Bezier curves are modified to satisfy the specified constraints of position and tangent vector, meanwhile the shape-preserving property is still retained. In order to illustrate its ability on adjusting the shape of lambda-Bezier curves, some curve design applications are discussed, which show that the proposed method is effective and easy to implement.
机译：除了继承经典的度数为Bezier的曲线的特性外，相应的Lambda-Bezier曲线在通过更改形状控制参数来调整形状方面也具有良好的性能。特别地，在形状控制参数等于零的情况下，lambda-Bezier曲线退化为经典的Bezier曲线。本文研究了通过位置和切向量的约束优化对Lambda-Bezier曲线的形状修改。详细给出了lambda-Bezier曲线的定义和性质，并通过优化控制点的扰动来实现形状修改。同时，通过拉格朗日乘数法得到了修改控制点和形状参数的显式公式。使用该算法，可以修改lambda-Bezier曲线以满足指定的位置和切向量约束，同时仍保留形状保持特性。为了说明其调整Lambda-Bezier曲线形状的能力，讨论了一些曲线设计应用程序，表明该方法有效且易于实现。

著录项

  • 来源
    《Mathematical Problems in Engineering》 |2015年第19期|735629.1-735629.12|共12页
  • 作者

    Hu Gang; Ji Xiaomin; Qin Xinqiang; Zhang Suxia;

  • 作者单位

    Xian Univ Technol, Dept Appl Math, Xian 710054, Peoples R China;

    Xian Univ Technol, Coll Arts, Xian 710048, Peoples R China;

    Xian Univ Technol, Dept Appl Math, Xian 710054, Peoples R China;

    Xian Univ Technol, Dept Appl Math, Xian 710054, Peoples R China;

  • 收录信息
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号