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B样条曲线曲面特殊形状的构造原理与方法
引用本文:贺志民.B样条曲线曲面特殊形状的构造原理与方法[J].湖南环境生物职业技术学院学报,2007,13(3):45-48.
作者姓名:贺志民
作者单位:浙江林学院,理学院,浙江,杭州,311300
基金项目:浙江省教育厅自然科学基金资助项目(编号:20060676)
摘    要:在曲线曲面的设计中,经常遇到特殊形状的设计,如直线中插入尖点和直线段,曲面中插入棱线和直纹面,这些简单重型值点方法来实现,但若在曲面中夹尖点,平面片和棱角仍存在较大困难,而这些特殊形状在曲面设计中又经常用到,本文通过巧妙地构造型值点阵,得到了夹平面片,尖点和棱角的3次B样条曲面的构造原理与方法.图8,参6.

关 键 词:平面片  尖点  棱角
文章编号:1671-6361(2007)03-0045-04
修稿时间:2007-02-11

Principles and Methods on Constructing Special Shapes of B-spline Curves and Surfaces
HE Zhi-min.Principles and Methods on Constructing Special Shapes of B-spline Curves and Surfaces[J].JOurnal of Hunan Environment Biological Polytechnic,2007,13(3):45-48.
Authors:HE Zhi-min
Institution:College of Science,Zhejiang Forestry University, Hangzhou 311300, China
Abstract:When designing curves and surfaces,we often need insert some special shapes.For example,inserting cusps and lines in a curve and crease and ruled surfaces in a surface.This can be obtained by multipoint-method.But it's still difficult to insert cusps,plain patches or arrises into a surface.While these special shapes are common in geometry designs.In this paper,principles and methods on constructing plain patches,cusps and arrises in a surface were put forward through founding some point-matrixes.8figs.,6refs.
Keywords:plain  patches  cusp arrises
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