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Reconstruction of Bicolored Images

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Combinatorial Image Analysis (IWCIA 2015)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 9448))

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Abstract

In this paper, we present an integer programming approach to estimating a discrete bi-colored image from its two-color horizontal and vertical projections. The two-color projections basically refer to the number of pixels per column having colors \(c_1\) and \(c_2\), and likewise for each row as well. The aim of the integer programming approach is to minimize the number of conflict pixels, i.e. the number of pixels that have color \(c_1\) as well as \(c_2\). Since the problem is NP-complete, we give a survey of the literature and we propose a new integer programming formulation of this problem.

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Author information

Authors and Affiliations

  1. Cedric-CNAM, 292 Rue St-Martin, Paris, France

    Alain Billionnet, Fethi Jarray & Ghassen Tlig

  2. Higher Institute of Computer Science, Tunis, Tunisia

    Ezzeddine Zagrouba

  3. Higher Institute of Computer Science, Medenine, Tunisia

    Fethi Jarray & Ghassen Tlig

Authors
  1. Alain Billionnet
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  2. Fethi Jarray
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  3. Ghassen Tlig
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  4. Ezzeddine Zagrouba
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Corresponding author

Correspondence to Ghassen Tlig .

Editor information

Editors and Affiliations

  1. SUNY Fredonia, Fredonia, New York, USA

    Reneta P. Barneva

  2. Advanced Computing and Microelectronics, Indian Statistical Institute, Kolkata, Germany

    Bhargab B. Bhattacharya

  3. SUNY Buffalo State, Buffalo, New York, USA

    Valentin E. Brimkov

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Billionnet, A., Jarray, F., Tlig, G., Zagrouba, E. (2015). Reconstruction of Bicolored Images. In: Barneva, R., Bhattacharya, B., Brimkov, V. (eds) Combinatorial Image Analysis. IWCIA 2015. Lecture Notes in Computer Science(), vol 9448. Springer, Cham. https://doi.org/10.1007/978-3-319-26145-4_20

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  • DOI: https://doi.org/10.1007/978-3-319-26145-4_20

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-26144-7

  • Online ISBN: 978-3-319-26145-4

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