华南理工大学学报(自然科学版) ›› 2021, Vol. 49 ›› Issue (5): 129-134.doi: 10.12141/j.issn.1000-565X.200550

所属专题: 2021年机械工程

• 机械工程 • 上一篇    下一篇

一种基于二次曲线不变量的孔径测量方法

张龙飞1,2 李晶寇莹苗健伟侯跃谦2   

  1. 1.长春理工大学 机电工程学院,吉林 长春 130022;2.长春大学 机械与车辆工程学院,吉林 长春 130022;
    3.吉林大学 机械与航空航天工程学院,吉林 长春 130025

  • 收稿日期:2020-09-10 修回日期:2020-11-18 出版日期:2021-05-25 发布日期:2021-04-30
  • 通信作者: 张龙飞(1990-),男,实验师,主要从事视觉测量研究。 E-mail:511786978@qq.com
  • 作者简介:张龙飞(1990-),男,实验师,主要从事视觉测量研究。
  • 基金资助:
    吉林省自然科学基金资助项目(20180101322JC)

Aperture Measurement Method Based on Conic Invariant

ZHANG Longfei1, 2 LI JingKOU YingMIAO JianweiHOU Yueqian2   

  1. 1.College of Mechanical and Electrical Engineering, Changchun University of Science and Technology, Changchun 130022, 
    Jilin, China; 2. College of Mechanical and Vehicle Engineering, Changchun  University, Changchun 130022, Jilin, China;
    3. College of Mechanical and Aerospace Engineering, Jilin University, Changchun 130025, Jilin, China
  • Received:2020-09-10 Revised:2020-11-18 Online:2021-05-25 Published:2021-04-30
  • Contact: 张龙飞(1990-),男,实验师,主要从事视觉测量研究。 E-mail:511786978@qq.com
  • About author:张龙飞(1990-),男,实验师,主要从事视觉测量研究。
  • Supported by:
    Supported by the Natural Science Foundation of Jilin Province(20180101322JC)

摘要: 针对孔径测量检测效率低、检测精度受环境影响较大的问题,提出了一种基于二次曲线不变量测量孔径的模型,通过在孔表面的椭圆几何拟合获得被测孔的二次曲线不变量测量孔径。首先,建立世界坐标系并通过标定确定世界坐标系与摄像机坐标系之间的变换关系,采用改进的candy算法提取出孔边缘的亚像素坐标,并利用坐标变换关系将孔边缘的亚像素坐标投影到孔表面上;然后在孔表面上对孔边缘曲线进行椭圆几何拟合获得二次曲线不变量;最后在试验台上,利用二次曲线不变量视觉测量孔径,并与利用内径千分尺测量孔径的结果进行对比,检验了利用二次曲线不变量测量孔径模型的准确性。

关键词: 孔径测量, 坐标变换, 几何拟合, 二次曲线不变量

Abstract: A model of aperture measurement based on quadratic curve invariants was proposed to deal with the low detection efficiency and the problem that detection accuracy was greatly affected by the environment. The conic invariant aperture of the hole was obtained by ellipse geometry fitting on the surface of the hole. Firstly, the world coordinate system was established and the transformation relationship between the world coordinate system and the camera coordinate system was determined by calibration. The improved candy algorithm was used to extract the sub-pixel coordinates of the hole edge, and the sub-pixel coordinates of the hole edge were projected onto the hole surface according to the coordinate transformation relationship. Then, the ellipse geometric fitting of the hole edge curve on the hole surface was performed to obtain the quadratic curve invariant. Finally, the conic invariant was used to measure the aperture on the test bench, and the results were compared with those of the inner micrometer to verify the accuracy of the conic invariant model. 

Key words: aperture measurement, coordinate transformation, geometric fitting, conic invariant

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