欢迎访问《图学学报》 分享到:

图学学报

• 图形学与可视化 • 上一篇    下一篇

多焦点圆及其椭圆和卵圆

  

  • 出版日期:2013-04-30 发布日期:2015-06-11

Multi-focus Circle, Ellipse and Ovals

  • Online:2013-04-30 Published:2015-06-11

摘要: 卵圆是人们熟悉而尚未认识的基本图形。为探讨对卵圆的认识,论文提出
多焦点圆概念,以多焦点圆的原理和方法,揭示标准椭圆和卵圆的内在规律。椭圆有线性两
焦点和棱形四焦点两种标准类型,卵圆是特定条件的纺锤形四焦点圆。通过分析和建立标准
椭圆与卵圆的参数与特征参数关系,给出一种特殊的参数模拟计算方法,并列举实例,对椭
圆和卵圆有了新的基本认识。

关键词: 多焦点圆, 椭圆, 卵圆, 环线, 焦点多边形, 组合曲线

Abstract: Ovals are familiar but not yet well-known basic graphics. To explore the
understanding for them the concept of multi-focus circle is put forward to explore the inherent
properties of the standard ellipse and ovals. Ellipses have two standard types, linear two focuses
and rhombus four focuses, and the oval is the specific fusiform four focus circle. Based on the
analysis, a special kind of parameter simulation method and some examples are given, which
deepens the basic understanding for ovals.

Key words: many focus round, oval, egg circle, loop, focus polygon, combination curve