包络在计算机应用中的数学模型

SOME MATHEMATICAL MODELS OF ENVELOPE APPLIED FOR A COMPUTER

详细介绍了包络线的推导原理和方法，并在此基础上全面研究了各种曲线的方程及其包络线的方程。重点推导出直线族、圆族、抛物线族、椭圆族包络线的数学模型，应用这些数学模型研制了一个有关包络线的图形软件包，进而验证了推导原理及方法的正确性。

The principles and methods for deriving an envelope cure are introduced. Based on these, the equations of different curves as well as their envelope curve equations are studied comprehensively. It is emphasized on the derivation of the envelop curves models of line manifold, circle manifold, conic manifold and ellipse manifold. By using those models, a package of figure module is developed, and furthermore, those principles and methods are proved as true.