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Filtering of Poisson Noise in Digital Mammography Using Local Statistics and Adaptive Wiener Filter

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Breast Imaging (IWDM 2012)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 7361))

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Abstract

A novel image denoising algorithm has been proposed for quantum noise reduction in digital mammography. The method uses the Anscombe transformation to stabilize noise variance and convert the signal-dependent Poisson noise into an approximately signal-independent Gaussian additive noise. In the Anscombe domain, noise is removed through an adaptive Wiener filter, whose parameters are obtained considering local image statistics. Thus, the method does not require any a priori knowledge about the original signal, because all the necessary parameters are estimated directly from the noisy image. The method was applied on synthetic mammograms generated based upon an anthropomorphic software breast phantom with different levels of simulated quantum noise. The evaluation of the proposed method was performed by calculating the peak signal-to-noise ratio (PSNR) and the mean structural similarity index (MSSIM) before and after denoising. Results show that the proposed algorithm improves image quality by reducing image noise without significantly affecting image sharpness.

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References

  1. Karellas, A., Vedantham, S.: Breast cancer imaging: a perspective for the next decade. Med. Phys. 35(11), 4878–4897 (2008)

    Article  Google Scholar 

  2. Acha, B., Serrano, C., Rangayyan, R.M., Leo Desautels, J.E.: Detection of microcalcifications in mammograms using error of prediction and statistical measures. J. Electron. Imaging 18(1), 013011 (2009)

    Google Scholar 

  3. Papadopoulos, A., Fotiadis, D.I., Costaridou, L.: Improvement of microcalcification cluster detection in mammography utilizing image enhancement techniques. Comput. Biol. Med. 38(10), 1045–1055 (2008)

    Article  Google Scholar 

  4. Gonzalez, R.C., Woods, R.E.: Digital Image Processing, 3rd edn. Prentice Hall, Upper Saddle River (2008)

    Google Scholar 

  5. Saunders, R.S., Baker, J.A., Delong, D.M., Johnson, J.P., Samei, E.: Does image quality matter? Impact of resolution and noise on mammographic task performance. Med. Phys. 34(10), 3971–3981 (2007)

    Article  Google Scholar 

  6. Anscombe, F.J.: The transformation of Poisson, binomial and negative-binomial data. Biometrika 35, 246–254 (1948)

    MathSciNet  MATH  Google Scholar 

  7. Mascarenhas, N.D.A., Santos, C.A.N., Cruvinel, P.E.: Transmission tomography under Poisson noise using the Anscombe transformation and Wiener filtering of the projections. Nucl. Instrum. Meth. A 423, 265–271 (1999)

    Article  Google Scholar 

  8. Bakic, P.R., Zhang, C., Maidment, A.D.: Development and characterization of an anthropomorphic breast software phantom based upon region-growing algorithm. Med. Phys. 38(6), 3165–3176 (2011)

    Article  Google Scholar 

  9. Wang, Z., Bovik, A.C.: Mean squared error: Love it or leave it? A new look at signal fidelity measures. IEEE Signal Proc. Mag. 26(1), 98–117 (2009)

    Article  Google Scholar 

  10. Wang, Z., Bovik, A.C., Sheikh, H.R., Simoncelli, E.P.: Image quality assessment: from error visibility to structural similarity. IEEE T. Image Process. 13(4), 600–612 (2004)

    Article  Google Scholar 

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© 2012 Springer-Verlag Berlin Heidelberg

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Vieira, M.A.C., Bakic, P.R., Maidment, A.D.A., Schiabel, H., Mascarenhas, N.D.A. (2012). Filtering of Poisson Noise in Digital Mammography Using Local Statistics and Adaptive Wiener Filter. In: Maidment, A.D.A., Bakic, P.R., Gavenonis, S. (eds) Breast Imaging. IWDM 2012. Lecture Notes in Computer Science, vol 7361. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31271-7_35

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  • DOI: https://doi.org/10.1007/978-3-642-31271-7_35

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-31270-0

  • Online ISBN: 978-3-642-31271-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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