几何元素在曲面上投影的矢量表达式及其作图

The Vector Expression and Drawing of The Projection of Geometry Element on A Curved Surface

本文以微分几何的理论为依据,探讨几何元素在曲面上投影的矢量表达式及其在几种特殊曲面上投影的作图方法,为用计算机绘图研究曲线、曲面和在曲面上作投影的问题提供了理论依据和数学模型。

According to the theory of differential geometry, the vector expression of the projection of geometry element on a curved surface and the way to draw the projection on several special curved surfaces is approached in this paper. Thus it will offer theoretical basic and mathematical model concerning computer darwing technology for studying curve and curved surface and drawing projection on curved surface.