应用科学学报 ›› 2018, Vol. 36 ›› Issue (6): 936-949.doi: 10.3969/j.issn.0255-8297.2018.06.006

• 信号与信息处理 • 上一篇    下一篇

高速动态三维面形测量

王建华1,2, 杨延西1   

  1. 1. 西安理工大学 自动化学院, 西安 710048;
    2. 徐州工业职业技术学院 机电工程学院, 江苏 徐州 221140
  • 收稿日期:2017-08-17 修回日期:2017-12-26 出版日期:2018-12-31 发布日期:2018-12-31
  • 通信作者: 杨延西,教授,博导,研究方向:数字图像处理、智能信息处理、复杂系统控制、机器视觉和智能机器人,E-mail:yangyanxi@xaut.edu.cn E-mail:yangyanxi@xaut.edu.cn
  • 基金资助:
    国家自然科学基金(No.51275405);陕西省自然科学基础研究计划基金(No.2015JM6333);陕西省现代装备绿色制造协同创新中心项目基金(No.304-210891702)资助

High-Speed Dynamic Three-Dimensional Shape Measurement

WANG Jian-hua1,2, YANG yan-xi1   

  1. 1. College of Automation, Xi'an University of Technology, Xi'an 710048, China;
    2. College of Mechanical and Electrical Engineering, Xuzhou College of Industrial Technology, Xuzhou 221140, Jiangsu Province, China
  • Received:2017-08-17 Revised:2017-12-26 Online:2018-12-31 Published:2018-12-31

摘要: 针对物体表面满足连续性假设的快变化物体的三维面形测量,提出基于二维小波变换解调相位主值、最小二乘相位展开方法.其优势在于,一是只需要投影一幅条纹图案即可重建物体形貌,进而实现高速动态三维测量;二是相较于傅里叶变换轮廓术,二维小波变换轮廓术具有更好的抑噪能力;三是最小二乘相位展开鲁棒性好,相位展开平滑.通过计算机仿真比较了3种母小波的二维小波变换解调相位主值的结果,同时比较了多种空间相位展开的结果.最后,分别对动态椭球体、连续凸起曲面和动态水波波纹进行仿真或实验,所得结果验证了该方法的有效性.

关键词: 二维小波变换, 最小二乘法, 傅里叶变换, 高速动态三维测量

Abstract: Aiming at the 3D surface measurement of the fast changing object of which surface satisfes the continuity assumptions, a method that wrapped phase demodulating based on two-dimensional wavelet transform and phase unwrapping based on least square method is proposed. Its advantage is that, frstly, only one fringe pattern can be projected to reconstruct the shape of object, so high-speed dynamic 3D measurement can be realized. Secondly, compared with Fourier transform proflometry, two dimensional wavelet transform proflometry has better noise suppression ability. Thirdly, the least square phase unwrapping method has good robustness, unwrapping phase is smooth. The computer simulation compares the results of wrapped phase demodulating by the Fourier transform, the one dimensional and two dimensional wavelet transform, the performance of three different mother wavelet and several spatial phase unwrapping methods, and the dynamic ellipsoid, continuous convex surface and dynamic water ripple are simulated or tested respectively, and the results show the effectiveness of the method proposed in this paper.

Key words: high-speed dynamic 3D measurement, two-dimensional wavelet transform, Fourier transform, least square method

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