上海交通大学学报

上海交通大学学报（自然版）

• 自动化技术、计算机技术 • 上一篇    下一篇

点云数据热传导平滑过程中的惩罚函数形态

张学昌1，贾志欣1，陈晓波2，习俊通2，杨广全2   

  1. (1.浙江大学 宁波理工学院机电与能源分院, 宁波 315100;
    2.上海交通大学 机械与动力工程学院, 上海 200240)
  • 收稿日期:2007-06-18 修回日期:1900-01-01 出版日期:2008-10-28 发布日期:2008-10-28
  • 通讯作者: 张学昌

Study on the Choice of Disciplinal Function During Point Cloud Smoothing Based on Anisotropic Heat Diffusion

ZHANG Xue-chang1, JIA Zhi-xin1, CHEN Xiao-bo2, XI Jun-tong2，YANG Guang-quan2   

  1. (1. School of Mechanical Engineering, Ningbo Institute of Technology, Zhejiang University,
    Ningbo 315100, China; 2. School of Mechanical Engineering， Shanghai Jiaotong University,
    Shanghai 200240, China)
  • Received:2007-06-18 Revised:1900-01-01 Online:2008-10-28 Published:2008-10-28
  • Contact: ZHANG Xue-chang

摘要： 针对点云数据热传导平滑处理过程中惩罚函数的形态确定问题，提出了基于模糊数学隶属度函数形态相似性的热传导惩罚函数形态确定方法.通过对降半矩形分布、降半Г分布、降半正态分布、降半哥西分布、降半梯形分布和降岭形分布的数学形态分析，得出自变量的变化与惩罚函数值成非线性反比的函数选择原则.实验验证表明，降半哥西分布和降半正态分布为最佳实用函数，从而为点云数据的平滑去噪预处理提供了一条途径.

关键词: 点云平滑, 热扩散理论, 惩罚函数, 逆向工程

Abstract: The smoothing method based on the heat diffusion has a good effect to the point cloud with noise points, but how to choose a proper disciplinal function to smooth the point cloud is no answer. This paper proposed a method to decide the disciplinal function based on the fuzzy mathematics’s relevant function concept. The six special functions, such as drop semirectangle function, drop semiГ function, drop seminormal function, drop semiCauchy function, drop semitrapezia function and drop semimountain function, were analyzed. The answer was gotten that the variant has a nonlinear relationship with the result of disciplinal function. Some cases were used to validate the characteristics of disciplinal function. There is a new way to handle the point cloud during the preprocessing of reverse engineering or complex surface inspection.

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