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Iterative illumination correction with implicit regularization

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Abstract

This paper presents a retrospective algorithm for correcting the uneven illumination field in microscopy images. The illumination field is iteratively made uniform using an increasing sequence of bivariate polynomials. At each iteration, the least squares problem of fitting a 2-D polynomial to a sampled image is solved by using QR decomposition with column pivoting, where image samples are obtained by dynamic programming or watershed transform. This incremental scheme allows the smoothness constraint of the estimated bias field to be implicitly satisfied. The proper number of iterations is determined by an automatic stopping criterion. The experimental results show the effectiveness of the proposed approach when compared to a set of different well-established methods.

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Acknowledgments

The authors are grateful to Thamar University, Dhamar-Yemen, Infectiopôle Sud, Marseille-France, and the Bill & Melinda Gates foundation.

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Authors and Affiliations

  1. FCT, Departamento de Engenharia Electrónica e Informática, Universidade do Algarve, 8005-139, Faro, Portugal

    Faroq Al-Tam & Hamid Reza Shahbazkia

  2. DCT, Instituto Superior Manuel Teixeira Gomes, 8500-508, Portimão, Portugal

    António dos Anjos

  3. CCMAR, Universidade do Algarve, 8005-139, Faro, Portugal

    António dos Anjos

Authors
  1. Faroq Al-Tam
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  2. António dos Anjos
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  3. Hamid Reza Shahbazkia
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Correspondence to Faroq Al-Tam.

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Al-Tam, F., dos Anjos, A. & Shahbazkia, H.R. Iterative illumination correction with implicit regularization. SIViP 10, 967–974 (2016). https://doi.org/10.1007/s11760-015-0847-4

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  • DOI: https://doi.org/10.1007/s11760-015-0847-4

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