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参数曲线的分段近似隐式化
  • 期刊名称：高校应用数学学报A辑
  • 时间：0
  • 页码：202-210
  • 语言：中文
  • 分类：TP391[自动化与计算机技术—计算机应用技术;自动化与计算机技术—计算机科学与技术]
  • 作者机构：[1]大连理工大学数学科学学院,辽宁大连116024
  • 相关基金：国家自然科学基金（60533060;10801024;U0935004）;中国科学院高温气体动力学重点实验室开放基金
  • 相关项目：分片代数曲线曲面的理论与应用研究
作者： 李彩云|王仁宏|朱春钢|
关键词： 隐函数样条, 隐式曲线, 近似隐式化, functional splines, implicit curves, approximate implicitization
中文摘要：

曲线的参数形式和隐式形式之间的相互转化在CAGD和造型中起着重要的作用,将参数形式的曲线转化为代数形式的曲线的过程称为隐式化.由于复杂参数曲线的精确隐式化比较困难,因此近似隐式化就显得非常重要.基于隐函数样条与异度隐函数样条,作者提出了参数曲线分段近似隐式化方法,并给出具体算法.通过实例对比,说明了此方法的简洁性和有效性.

英文摘要：

The mutual transformation between parametric equation and implicit equation of curve plays an important role in CAGD, and the procedure of finding the implicit form of a parametric equation is called implicitization. Since the exact implicitization of a parametric curve is generally complex and difficult, approximate implicitization appears very important. Based on functional spline curves（with different degrees of smoothness）, a new method for implicitization is presented. Moreover, an algorithm is given, and examples are provided to illustrate the efficiency and simplicity of the new method.

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