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。
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 deepens the basic understanding for ovals. method and some examples are given, which
出处
《图学学报》
CSCD
北大核心
2013年第2期52-64,共13页
Journal of Graphics
关键词
多焦点圆
椭圆
卵圆
环线
焦点多边形
组合曲线
many focus round
oval
egg circle
loop
focus polygon
combination curve