空间曲面连续性的分类及其数学解释

Classifications of spatial surface continuity and their mathematic explanation

空间曲面的连续性是衡量曲面质量的重要指标,也是制作高质量曲面类零件的理论基础。文中系统地介绍了桥接曲面的定义、曲面光滑程度的定义及曲面连续性的类型,并说明了各种曲面连续性类型适用的场合及在直角坐标系下各类型连续性的数学解释。

The continuity of spatial surfaces is not only the important index for measuring surfaces quality,but also the theoretical foundation of higher quality surface parts.The definitions of transition surface,surface smoothness and types of spatial surface continuity have been introduced systematically in this paper.The applicable instances for each type of spatial surface continuity was explained and the mathematic explanation in Cartesian coordinate system was given.