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Computation of 2D Discrete Geometric Moments Through Inclusion-Exclusion

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Pattern Recognition and Artificial Intelligence (ICPRAI 2022)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 13363))

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Abstract

We propose a new formula for computing discrete geometric moments on 2D binary images. The new formula is based on the inclusion-exclusion principle, and is especially tailored for images coming from computer art, characterized by a prevalence of horizontal and vertical lines. On the target class of images, our formula reduces the number of pixels where calculations are to be performed.

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Acknowledgments

This research has been partially supported by the Ministry of Education, Science and Technological Development through project no. 451-03-68/2022-14/ 200156 “Innovative scientific and artistic research from the FTS (activity) domain".

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Authors and Affiliations

  1. Faculty of Technical Sciences, University of Novi Sad, Novi Sad, Serbia

    Lidija Čomić

  2. Department of Computer Science, Bioengineering, Robotics, and Systems Engineering, University of Genova, Genova, Italy

    Paola Magillo

Authors
  1. Lidija Čomić
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  2. Paola Magillo
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Corresponding author

Correspondence to Paola Magillo .

Editor information

Editors and Affiliations

  1. Télécom SudParis, Palaiseau, France

    Mounîm El Yacoubi

  2. École de Technologie Supérieure, Montreal, QC, Canada

    Eric Granger

  3. Hong Kong Baptist University, Kowloon, Kowloon, Hong Kong

    Pong Chi Yuen

  4. Indian Statistical Institute, Kolkata, India

    Umapada Pal

  5. Université Paris Cité, Paris, France

    Nicole Vincent

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Čomić, L., Magillo, P. (2022). Computation of 2D Discrete Geometric Moments Through Inclusion-Exclusion. In: El Yacoubi, M., Granger, E., Yuen, P.C., Pal, U., Vincent, N. (eds) Pattern Recognition and Artificial Intelligence. ICPRAI 2022. Lecture Notes in Computer Science, vol 13363. Springer, Cham. https://doi.org/10.1007/978-3-031-09037-0_43

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  • DOI: https://doi.org/10.1007/978-3-031-09037-0_43

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-09036-3

  • Online ISBN: 978-3-031-09037-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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