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关于隐式曲线表达式的划分正负性质——正负法数控绘图(Ⅰ)

蔡耀志   

  1. 浙江大学
  • 出版日期:1985-03-20 发布日期:1985-03-20

蔡耀志. 关于隐式曲线表达式的划分正负性质——正负法数控绘图(Ⅰ)[J]. 数值计算与计算机应用, 1985, 6(3): 129-134.

ON THE PROPERTY OF AN IMPLICIT CURVE EXPRESSION DIVIDING A REGION INTO POSITIVE AND NEGATIVE A Positive-Negative Algorithm for Drawing Graphs with a Digital Plotter(Ⅰ)

  1. Cai Yao-zhi(zhejiang University)
  • Online:1985-03-20 Published:1985-03-20
因为隐式曲线表达式的划分正负性质是已在国内传播的“正负法数控绘图方法”的基础,而且也是对隐函数曲线分析其形状和性质的工具,所以本文专门对其作一番分析。 从实用观点出发在以后的讨论中我们总是假定所考察的曲线至少是分段光滑的,其表达式总是写成
This paper gives a necessary and sufficient condition so that the implicit curve "f(x, y)=0" divides a definite region into positive and negative. The geometrical relation between f_x(x, y)=0 and f(x, y)=0 is discussed. Application of these properties, to analyzing graphs of implicit curves is introduced.
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[1] 杨学平,计算机绘图,电力工业出版社,1980.
[2] 香取英男訳,线分补间(CNC用),机械技术 Aug. 1975 No.8,Vol.23 (第11回NcS Technical conference proceedings p338-348) .
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