基于分数阶傅里叶变换的NURBS曲面拟合

doi:10.3969/j.issn.1000-1158.2021.03.06

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Abstract In order to realize high quality non-uniform rational B-splines (NURBS) fitting surface of free-form surface model, a NURBS surface fitting method based on fractional Fourier transform is proposed. Firstly, the elevation image of the point cloud data of the free-form surface model is analyzed by means of fractional Fourier transform, and the feature points representing the three-dimensional structure of the free-form surface are extracted from the elevation image of the point cloud data of the free-form surface model. Then, the data points for NURBS surface fitting are selected by using the outer tangent circle extraction method combined with the extracted feature points. Finally, the fractional Fourier transform filtering and inverse interpolation node method are used to optimize the shape of the fitting surface to improve the fitting accuracy. The experimental results show that compared with the traditional NURBS fitting method, the root-mean-square error of the fitting results is reduced by 28% under different adjustment times, and the fitting effect is better.

Key words： metrology NURBS surface fitting fractional Fourier transform point cloud processing feature extraction

Received: 08 January 2020 Published: 23 March 2021

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TB92

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	Articles by authors
	KONG De-ming
	HUANG Zi-shuang
	WANG Shu-tao
	SHI Hui-chao

Cite this article:

KONG De-ming,HUANG Zi-shuang,WANG Shu-tao, et al. NURBS Surface Fitting Based on Fractional Fourier Transform[J]. Acta Metrologica Sinica, 2021, 42(3): 294-300.

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http://jlxb.china-csm.org:81/Jwk_jlxb/EN/10.3969/j.issn.1000-1158.2021.03.06 OR http://jlxb.china-csm.org:81/Jwk_jlxb/EN/Y2021/V42/I3/294

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