| 基于曲面透视投影和内在几何的自由曲面造型 |
| |
| 引用本文： | 张凤莲,高满屯.基于曲面透视投影和内在几何的自由曲面造型[J].机械科学与技术(西安),2006,25(2):204-206,245. |
| |
| 作者姓名： | 张凤莲 高满屯 |
| |
| 作者单位： | 西北工业大学,机电学院,西安,710072;四川省建筑职业技术学院,德阳,618000;西北工业大学,机电学院,西安,710072 |
| |
| 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。
|
| 关 键 词： | 自由曲面造型 透视投影 法矢 切矢 主曲率 |
| 文章编号： | 1003-8728（2006）02-0204-03 |
| 收稿时间： | 2004-01-11 |
| 修稿时间： | 2004-01-11 |
Modeling a Free-form Surface Based On Perspective Projection, Normal Vectors,Tangent Vectors and Principal Curvatures |
| |
| Zhang Fenglian,Gao Mantun.Modeling a Free-form Surface Based On Perspective Projection, Normal Vectors,Tangent Vectors and Principal Curvatures[J].Mechanical Science and Technology,2006,25(2):204-206,245. |
| |
| Authors: | Zhang Fenglian Gao Mantun |
| |
| Abstract: | 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. |
| |
| Keywords: | free-form surface modeling perspective projection normal vector tangent vector principal curvature |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
