Optics and Precision Engineering, Volume. 17, Issue 11, 2835(2009)

Application of covariance matrix to 2D object attitude measurement

JI Hua1...2,*, WANG Da-wei1,2, ZHAO Jian1, HAN Guang-liang1 and WANG Yan-jie1 |Show fewer author(s)
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  • 1[in Chinese]
  • 2[in Chinese]
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    Aiming at a large amounts of computation existing in attitude measurements, a new method of 2-D object attitude measurement based on a covariance matrix is presented. Firstly,an image is segmented by the threshold and the center of an object is extracted. Then,the covariance matrix of the object is computed and decomposed by a orthogonal decomposition,and the elliptic equation defined by the covariance matrix is gotten. Finally,the lengths and orientations of both axes are calculated to obtain the scale change and rotation between the two images. The attitudes of objects in 256 pixel×256 pixel images are calculated with a log-polar algorithm and the presented algorithm respectively. The experimental results show that the angle error is within ±1°, and the scale error is within ±2% with proposed method,which is superior to those computed by the log-polar method, while the computation time is only 1/16 that of the log-polar method. The presented method can calculate the rotation and scale change fast and accurately, and can meet the requirement of real-time processing.

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    JI Hua, WANG Da-wei, ZHAO Jian, HAN Guang-liang, WANG Yan-jie. Application of covariance matrix to 2D object attitude measurement[J]. Optics and Precision Engineering, 2009, 17(11): 2835

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    Paper Information

    Received: Nov. 26, 2008

    Accepted: --

    Published Online: Aug. 31, 2010

    The Author Email: Hua JI (jhua12@163.com)

    DOI:

    CSTR:32186.14.

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