基于曲面透视投影和内在几何的自由曲面造型  

Modeling a Free-form Surface Based On Perspective Projection, Normal Vectors, Tangent Vectors and Principal Curvatures

作　　者：张凤莲[1] 高满屯[1] 

机构地区：[1]西北工业大学机电学院

出　　处：《机械科学与技术》2006年第2期204-206,245,共4页Mechanical Science and Technology for Aerospace Engineering

基　　金：陕西省自然科学基金项目(2002E224)资助

摘　　要：提出基于曲面透视投影和其内在几何的自由曲面造型方法。给出从曲面数据点的透视投影坐标、曲面法矢、切矢及主曲率,计算曲面三维数据点坐标的原理和过程。利用参数双三次样条曲面造型方法,从曲面三维数据点构造了自由曲面。给出的两个算例证明自由曲面初始数据法具有几何意义明显和便于控制的优点。This paper presents a new free-form curved surface modeling method on the basis of perspective projections, normal vectors, tangent vectors and principal normal curvatures of controlling points of a freeform curved surface, After computing the three-dimensional coordinates of the controlling points, the modeling method of a bicubic spline surface is used for modeling free curved surfaces, two examples of which are given by using the modeling method. It is very convenient to control the shape of the modelled freecurved surface, and the geometrical concept of its modeling is obvious.

关 键 词：自由曲面造型 透视投影 法矢 切矢 主曲率 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]