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Necessary Condition of Affine Moment Invariants

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Abstract

In this paper, a method is presented for generating affine moment invariants of arbitrary dimension and order. It is proved that all the affine moment invariants can be generated by using determinants. Therefore, the necessary condition of the general affine moment invariants is given in this paper.

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Acknowledgements

Research supported by National Natural Science Foundation of China (Grants 61100129 and 61379106), Open Program of Key Laboratory of Intelligent Information Processing, Institute of Computing Technology, Chinese Academy of Sciences (Grants IIP2014-7) and Collaborative Innovation Center on Beijing Society-building and Social Governance.

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Authors and Affiliations

  1. Beijing Institute for Scientific and Engineering Computing, Beijing University of Technology, Beijing, China

    Luhong Diao

  2. College of Applied Sciences, Beijing University of Technology, Beijing, China

    Luhong Diao, Zhenmeng Zhang & Dong Nan

  3. Key Lab of Intelligent Information Processing, Chinese Academy of Sciences, Beijing, China

    Luhong Diao & Zhenmeng Zhang

  4. College of Computer and Communication Engineering, China University of Petroleum, Qingdao, Shandong, China

    Yujie Liu

Authors
  1. Luhong Diao
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  2. Zhenmeng Zhang
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  3. Yujie Liu
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  4. Dong Nan
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Correspondence to Dong Nan.

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Diao, L., Zhang, Z., Liu, Y. et al. Necessary Condition of Affine Moment Invariants. J Math Imaging Vis 61, 602–606 (2019). https://doi.org/10.1007/s10851-018-0864-3

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  • DOI: https://doi.org/10.1007/s10851-018-0864-3

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