3个隐式代数曲面的四次GC^1拼接及其在三通管道工程上的应用研究

Blending of three implicit quadratic algebraic surfaces and application study on pipe tee T engineering

用构造性代数几何方法,研究了3个截平面中有2个平行,另1个与其垂直时,3个隐式代数曲面GC1光滑拼接曲面的构造问题。得到了:GC0控制曲面存在的充分必要条件定理和光滑拼接曲面存在的充分必要条件定理。在此基础上又进行了三通管道工程上的应用研究。

The present paper discusses the blending of three implicit quadratic algebraic surfaces of intersects when the three intersection planes are paralleled each other.The main conclusions are theorems as to controlling curved surface and blending curved surface existing and five propositions and does some applied research in tub blending.