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Volume 40 Issue 11
Nov.  2014
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Journal of Beijing University of Aeronautics and Astronautics  > 2014  >  40(11): 1602-1608.
Zhang Chaoxin, Xi Ping, Hu Bifuet al. Construction of invariants of Gaussian-Hermite moments[J]. Journal of Beijing University of Aeronautics and Astronautics, 2014, 40(11): 1602-1608. doi: 10.13700/j.bh.1001-5965.2013.0677(in Chinese)
Citation: Zhang Chaoxin, Xi Ping, Hu Bifuet al. Construction of invariants of Gaussian-Hermite moments[J]. Journal of Beijing University of Aeronautics and Astronautics, 2014, 40(11): 1602-1608. doi: 10.13700/j.bh.1001-5965.2013.0677(in Chinese)
shu

Construction of invariants of Gaussian-Hermite moments

doi: 10.13700/j.bh.1001-5965.2013.0677

  • School of Mechanical Engineering and Automation, Beijing University of Aeronautics and Astronautics, Beijing 100191, China

  • Received Date: 22 Nov 2013
  • Publish Date: 20 Nov 2014
    Abstract
  • Moments and functions of moment are widely used in image processing and pattern recognition due to their strong ability to represent features of an image. However, the researches on Gaussian-Hermite moments with which own orthogonal properties are still relatively less currently. Gaussian-Hermite moments were deeply studied, and correspondently, Polar-Gaussian-Hermite moments were proposed in polar coordinate. The method to compute the functions of both moments using raising and lowering operators were presented. Finally, the rotation invariants of Gaussian-Hermite moments were derived based on the Polar-Gaussian-Hermite moments and an independent and complete set of the invariants were given. The given experiment validates the correctness and good digital stability of the proposed invariants.

     

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