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利用图形的几何变换构造Koch曲线
引用本文:张晓华,赵立强,刘志飞,牛秀艳,高明晶,赵燕.利用图形的几何变换构造Koch曲线[J].河北科技师范学院学报,2008,22(3).
作者姓名:张晓华  赵立强  刘志飞  牛秀艳  高明晶  赵燕
作者单位:1. 河北科技师范学院数理系,河北秦皇岛,066004
2. 河北科技师范学院人事处,河北秦皇岛,066004
3. 河北科技师范学院土木建筑系,河北秦皇岛,066004
摘    要:根据Koch曲线的构造性质,在齐次坐标下采用几何变换的方法生成了Koch曲线,给出了Koch曲线的Matlab程序实现和计算机演示.实验结果表明,采用该方法能够构造出具有较高精度的Koch曲线.

关 键 词:Koch曲线  齐次坐标  几何变换  计算机模拟

Forming of Koch Curve with Geometrical Transformation Scheme
ZHANG Xiao-hua,ZHAO Li-qiang,LIU Zhi-fei,NIU Xiu-yan,GAO Ming-jing,ZHAO Yan.Forming of Koch Curve with Geometrical Transformation Scheme[J].Journal of Hebei Normal University of Science & Technology,2008,22(3).
Authors:ZHANG Xiao-hua  ZHAO Li-qiang  LIU Zhi-fei  NIU Xiu-yan  GAO Ming-jing  ZHAO Yan
Institution:ZHANG Xiao-hua1,ZHAO Li-qiang1,LIU Zhi-fei2,NIU Xiu-yan1,GAO Ming-jing1,ZHAO Yan3(1 Dept of Mathematics & Physics,2 Division of Personnel Affairs,3 Dept of Civil Engcneering,Hebei Normal University of Science & Technology,Qinhuangdao Hebei,066004,China)
Abstract:On the basis of the nature of koch curve,this paper studies the method of forming Koch curve in homogeneous coordinate,and gives matlab program and presents the result.The result showed that this method could form Koch curve with relatively high precision.
Keywords:Koch curve  homogeneous coordinate  geometrical transformation  
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