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Fast Algorithm for 3D Local Feature Extraction Using Hahn and Charlier Moments

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Advances in Ubiquitous Networking 2 (UNet 2016)

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 397))

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Abstract

In this paper, we propose a fast algorithm to extract 3D local features from an object by using Hahn and Charlier moments. These moments have the property to compute local descriptors from a region of interest in an image. This can be realized by varying parameters of Hahn and Charlier polynomials. An algorithm based on matrix multiplication is used to speed up the computational time of 3D moments. The experiment results have illustrated the ability of Hahn and Charlier moments to extract the features from any region of 3D object. However, we have observed the superiority of Hahn moments in terms of reconstruction accuracy. In addition, the proposed algorithm produces a drastic reduction in the computational time as compared with straightforward method.

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Author information

Authors and Affiliations

  1. Faculty of Sciences Dhar el Mehraz, Sidi Mohamed Ben Abdellah University, Fez, Morocco

    Abderrahim Mesbah, Mostafa El Mallahi & Hassan Qjidaa

  2. Mohammedia School of Engineering, Mohamed V University, Rabat, Morocco

    Aissam Berrahou

Authors
  1. Abderrahim Mesbah
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  2. Aissam Berrahou
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  3. Mostafa El Mallahi
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  4. Hassan Qjidaa
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Corresponding author

Correspondence to Abderrahim Mesbah .

Editor information

Editors and Affiliations

  1. Computer Science Laboratory (LIA), University of Avignon, Avignon, France

    Rachid El-Azouzi

  2. Federal University of Rio de Janeiro, Rio de Janeiro, Brazil

    Daniel Sadoc Menasche

  3. Hassan II University of Casablanca, ENSEM, Casablanca, Morocco

    Essaïd Sabir

  4. CREATE-NET, Trento, Italy

    Francesco De Pellegrini

  5. INPT, Rabat, Morocco

    Mustapha Benjillali

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© 2017 Springer Science+Business Media Singapore

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Mesbah, A., Berrahou, A., El Mallahi, M., Qjidaa, H. (2017). Fast Algorithm for 3D Local Feature Extraction Using Hahn and Charlier Moments. In: El-Azouzi, R., Menasche, D.S., Sabir, E., De Pellegrini, F., Benjillali, M. (eds) Advances in Ubiquitous Networking 2. UNet 2016. Lecture Notes in Electrical Engineering, vol 397. Springer, Singapore. https://doi.org/10.1007/978-981-10-1627-1_28

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  • DOI: https://doi.org/10.1007/978-981-10-1627-1_28

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-1626-4

  • Online ISBN: 978-981-10-1627-1

  • eBook Packages: EngineeringEngineering (R0)

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