雙參數曲面族的包絡與單參數曲面族的二次包絡

The Enveloping of Bi-parametric Surface Family and the Quadratic Enveloping of Singl-parametric Surface Family

摘要: 本文主要討論以隱式及參數式給出的雙參數曲面族的包絡和單參數曲面族的二次包絡,以及這兩種包絡之間的關系,從而得到了通過求雙參數曲面族的包絡去求出單參數曲面族的二次包絡的簡便方法,和與此等價的其他包絡條件。

Abstract: This paper presents an approach to the enveloping of biparametric surf-ace family and the quadratic enveloping of single-parametric surface family. Both are expressed in terms of implicite or parametvic equations. A simple method fov solving the quadratic enveloping through solving of a bi-param-etric surface family and the equivalent enveloping conditions are established.