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Image Analysis by Modified Krawtchouk Moments

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Advances in Neural Networks – ISNN 2009 (ISNN 2009)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5553))

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Abstract

In the paper, a set of modified Krawtchouk moments with high accuracy and computational speed is introduced. Three computational aspects of Krawtchouk moments, which are weighted and normalized Krawtchouk polynomials, symmetry and recurrence relation, are discussed respectively. Firstly, by normalizing the Krawtchouk polynomials with the weight functions and norms, the values of the polynomials are limited to a smaller range than those of the classical polynomials. Secondly, three symmetrical properties are used to simplify the computational complexities of the high-order moments by reducing the modified polynomials by a factor of eight and lower the highest order of the calculated polynomials from N to N/2 − 1. Thirdly, the classical recursive relations are modified to calculate the normalized polynomials when the order N goes larger. Finally, the paper demonstrates the effectiveness of the proposed moments by using the method of image reconstruction.

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Author information

Authors and Affiliations

  1. School of Electrical and Electronic Engineering, Hubei University of Technology, Wuhan, 430068, China

    Luo Zhu, Jiaping Liao, Xiaoqin Tong, Li Luo & Bo Fu

  2. School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan, 430074, China

    Guojun Zhang

Authors
  1. Luo Zhu
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  2. Jiaping Liao
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  3. Xiaoqin Tong
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  4. Li Luo
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  5. Bo Fu
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  6. Guojun Zhang
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Editor information

Editors and Affiliations

  1. Departamento de Control Automático, CINVESTAV-IPN, A.P. 14-740, Av.IPN 2508, 07360, México D.F., México

    Wen Yu

  2. Deptartment of Electrical and Computer Engineering, Stevens Institute of Technology, Hoboken, USA

    Haibo He

  3. Dept. of Electrical and Computer Engineering, South Dakota School of Mines & Technology, 501 E. St. Joseph Street, SD 57701, Rapid City, USA

    Nian Zhang

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© 2009 Springer-Verlag Berlin Heidelberg

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Zhu, L., Liao, J., Tong, X., Luo, L., Fu, B., Zhang, G. (2009). Image Analysis by Modified Krawtchouk Moments. In: Yu, W., He, H., Zhang, N. (eds) Advances in Neural Networks – ISNN 2009. ISNN 2009. Lecture Notes in Computer Science, vol 5553. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-01513-7_33

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  • DOI: https://doi.org/10.1007/978-3-642-01513-7_33

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-01512-0

  • Online ISBN: 978-3-642-01513-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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