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基于质心Voronoi结构的自由曲面布点策略
引用本文:宋占杰,张美,何改云,刘佩佩.基于质心Voronoi结构的自由曲面布点策略[J].吉林大学学报(工学版),2013,43(1):34-38.
作者姓名:宋占杰  张美  何改云  刘佩佩
作者单位:1. 天津大学理学院,天津300072;天津大学电视与图像信息研究所,天津300072
2. 天津大学装备设计与制造技术天津市重点实验室,天津,300072
基金项目:国家自然科学基金项目(50975200)
摘    要:借鉴已有质心Voronoi结构网格规划的技巧,将自由曲线曲面的曲率函数作为生成质心Voronoi结构中的密度函数,并以成本函数收敛性作为算法结束的准则,提出了一种新的基于质心Voronoi结构的采样方法。采用本文方法实现了采样点的自适应分布,并通过仿真实验与传统采样方法进行了对比验证,结果表明,本文方法相对于一般自由曲面来讲是稳定的、高效的。

关 键 词:机械制造工艺与设备  自适应布点  质心Voronoi结构  自由曲线曲面曲率

Sculptured surface point distribution strategy based on centroidal Voronoi tesssellation
SONG Zhan-jie,ZHANG Mei,HE Gai-yun,LIU Pei-pei.Sculptured surface point distribution strategy based on centroidal Voronoi tesssellation[J].Journal of Jilin University:Eng and Technol Ed,2013,43(1):34-38.
Authors:SONG Zhan-jie  ZHANG Mei  HE Gai-yun  LIU Pei-pei
Affiliation:1.School of Science,Tianjin University,Tianjin 300072,China;2.Television and Image Information Institute,Tianjin University,Tianjin 300072,China;3.Tianjin Key Laboratory of Equipment Design and Manufacturing Technology,Tianjin University,Tianjin 300072,China)
Abstract:Referring to the existed skill of centroidal Voronoi tessellation(CVT) generation,the curvature function of surface was studied and modified to satisfy the demand of the density function of CVT,and the convergence of cost function was regarded as the end criterion of algorithm,a new sampling method was proposed based on CVT.The adaptive distribution of the sampling points was realized by the proposed method.The method was comparatively validated with the traditional sampling methods by simulation tests.The results show that the method is better than the traditional ones,and it is stable and efficient for the common sculptured surface.
Keywords:manufacturing technology and equipment  adaptive point distribution  centroidal Voronoi tessellation  curvature of sculptured curve and surface
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