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曲面的平面映射原理及其应用
引用本文:陈可汤,杨伟.曲面的平面映射原理及其应用[J].琼州学院学报,2007,14(5).
作者姓名:陈可汤  杨伟
作者单位:1. 琼州学院计算机科学与技术系,海南,五指山,572200
2. 琼州学院物理系,海南,五指山,572200
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及其映射算法;讨论了小曲率NURBS曲面平面映射的算法,并将该算法应用于花纹鞋模的设计中。

关 键 词:自由曲面  平面映射  NURBS曲面

Theory and Algorithm for Planar Development of Curved Surface
CHEN Ke-tang,YANG wei.Theory and Algorithm for Planar Development of Curved Surface[J].Journal of Qiongzhou University,2007,14(5).
Authors:CHEN Ke-tang  YANG wei
Abstract:Development of a curved surface is a new tool for CAD/CAGD(Computer Assisted Geometric Design).The definition and the deformations of planar development of a curved surface are presented in this paper.Then several planar development methods of curved surface,their advantages and disadvantages are analyzed.For NURBS surface is widely used in CAGD,a new planar developing algorithm is put forward,hybrid development,and its algorithm is given.Using this algorithm the distortions of development are reduced.At last we give an example to validate this algorithm.
Keywords:curved surface  planar development  NURBS
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