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自由曲面的平面映射原理及其算法
引用本文:梁伟文,宾鸿赞.自由曲面的平面映射原理及其算法[J].计算机应用与软件,2003,20(8):69-71.
作者姓名:梁伟文  宾鸿赞
作者单位:华中科技大学机械学院,武汉,430074
摘    要:论述空间曲面的平面映射定义及其变形;分析了空间曲面的几种近似映射方法,并同时分析了各种映射方法的优缺点;针对在空间曲面应用最广泛的NURBS曲面,提出了NURBS曲面的混合映射算法;讨论了小曲率NURBS曲面平面映射的算法,并将该算法成功地应用于花纹鞋模的设计中。

关 键 词:自由曲面  平面映射原理  算法  NURBS曲面  几何特性  计算机辅助设计

AN ALGORITHM FOR PLANAR MAPPING OF CURVED SURFACE
Liang Weiwen,Bin Hongzan.AN ALGORITHM FOR PLANAR MAPPING OF CURVED SURFACE[J].Computer Applications and Software,2003,20(8):69-71.
Authors:Liang Weiwen  Bin Hongzan
Abstract:Development of a curved surface is a new tool for CAD/CAGD(Computer Assisted Geometric Design).The definition and the deformations of planar mapping of a curved surface are presented in this paper.Then several planar mapping methods of curved surface as well as their advantages and disadvantages are analyzed.For NURBS surface is widely used in CAGD,a new planar hybrid mapping algorithm is put forward.By using this algorithm,distortions of the development are reduced.At last we give an example to validate this algorithm.
Keywords:Curved surface  Planar mapping  NURBS
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