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| 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. School of Mechanical Engineering, Ningbo Institute of Technology, Zhejiang University,
Ningbo 315100, China; 2. School of Mechanical Engineering， Shanghai Jiaotong University,
Shanghai 200240, China) |
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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 semirectangle function, drop semiГ function, drop seminormal function, drop semiCauchy function, drop semitrapezia function and drop semimountain 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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Received: 18 June 2007
Published: 28 October 2008
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Corresponding Authors:
ZHANG Xue-chang
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