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A Novel Approach for Computing the Coefficient of ART Descriptor Using Polar Coordinates for Gray-Level and Binary Images

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Advances in Ubiquitous Networking (UNet 2015)

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 366))

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Abstract

ART (Angular Radial Transform) are widely used in many applications of domains of image processing and pattern recognition, this last is a region based shape descriptor adopted in MPEG-7; among the property, that descriptor is invariant to rotation. The direct computation of ART coefficients characterized by the basis function, which is defined in polar coordinates over a unit disk and digital images are usually defined in cartesian coordinates, which produces two types of errors namely geometric error and integral approximation error and invariant to rotation of ART is not verified. In this paper, we propose an algorithm to compute the coefficients in polar coordinates systems to eliminate these errors, which have been produced by the conventional method. We use cubic interpolation for generation of the pixel to system Polar image, the results show that the proposed approach improves the polar rotation invariance. In order to apply this approach at the gray level and the binary images, which we can compare the time of execution of this last.

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Authors and Affiliations

  1. Department of Computer Science, Chouaib Doukkali University, El Jadida, Morocco

    Abderrahim Khatabi & Amal Tmiri

  2. Department of Mathematics, Chouaib Doukkali University, El Jadida, Morocco

    Ahmed Serhir

Authors
  1. Abderrahim Khatabi
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  2. Amal Tmiri
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  3. Ahmed Serhir
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Corresponding author

Correspondence to Ahmed Serhir .

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Editors and Affiliations

  1. Hassan II University of Casablanca, ENSEM Hassan II University of Casablanca, Oasis – Casablanca, Morocco

    Essaïd Sabir

  2. Ecole Nationale Supérieure d'Electricité et de Mécanique, Université Hassan II – Casablanca, Casablanca, Morocco

    Hicham Medromi

  3. Ecole Nationale Supérieure d'Electricité et de Mécanique, Université Hassan II – Casablanca, Casablanca, Morocco

    Mohamed Sadik

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Khatabi, A., Tmiri, A., Serhir, A. (2016). A Novel Approach for Computing the Coefficient of ART Descriptor Using Polar Coordinates for Gray-Level and Binary Images. In: Sabir, E., Medromi, H., Sadik, M. (eds) Advances in Ubiquitous Networking. UNet 2015. Lecture Notes in Electrical Engineering, vol 366. Springer, Singapore. https://doi.org/10.1007/978-981-287-990-5_31

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  • DOI: https://doi.org/10.1007/978-981-287-990-5_31

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-287-989-9

  • Online ISBN: 978-981-287-990-5

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