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Nonparametric Neighborhood Statistics for MRI Denoising

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Information Processing in Medical Imaging (IPMI 2005)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 3565))

Abstract

This paper presents a novel method for denoising MR images that relies on an optimal estimation, combining a likelihood model with an adaptive image prior. The method models images as random fields and exploits the properties of independent Rician noise to learn the higher-order statistics of image neighborhoods from corrupted input data. It uses these statistics as priors within a Bayesian denoising framework. This paper presents an information-theoretic method for characterizing neighborhood structure using nonparametric density estimation. The formulation generalizes easily to simultaneous denoising of multimodal MRI, exploiting the relationships between modalities to further enhance performance. The method, relying on the information content of input data for noise estimation and setting important parameters, does not require significant parameter tuning. Qualitative and quantitative results on real, simulated, and multimodal data, including comparisons with other approaches, demonstrate the effectiveness of the method.

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References

  1. Awate, S., Whitaker, R.: Higher-order image statistics for unsupervised, information-theoretic, adaptive, image filtering. To appear in Proc. IEEE Int. Conf. Computer Vision Pattern Recog. (2005)

    Google Scholar 

  2. Collins, D., Zijdenbos, A., Kollokian, V., Sled, J., Kabani, N., Holmes, C., Evans, A.: Design and construction of a realistic digital brain phantom. IEEE Trans. Med. Imag. 17(3), 463–468 (1998)

    Article  Google Scholar 

  3. Comaniciu, D., Meer, P.: Mean shift: A robust approach toward feature space analysis. IEEE Trans. Pattern Anal. Mach. Intell. 24(5), 603–619 (2002)

    Article  Google Scholar 

  4. de Silva, V., Carlsson, G.: Topological estimation using witness complexes. In: Symposium on Point-Based Graphics (2004)

    Google Scholar 

  5. Dougherty, E.: Random Processes for Image and Signal Processing. Wiley, Chichester (1998)

    Book  Google Scholar 

  6. Duda, R., Hart, P., Stork, D.: Pattern Classification. Wiley, Chichester (2001)

    MATH  Google Scholar 

  7. Fan, A., Wells, W., Fisher, J., Çetin, M., Haker, S., Mulkern, R., Tempany, C., Willsky, A.: A unified variational approach to denoising and bias correction in mr. In: Info. Proc. Med. Imag., pp. 148–159 (2003)

    Google Scholar 

  8. Gerig, G., Kikinis, R., Kubler, O., Jolesz, F.: Nonlinear anisotropic filtering of mri data. IEEE Trans. Med. Imag. 11(2), 221–232 (1992)

    Article  Google Scholar 

  9. Healy, D., Weaver, J.: Two applications of wavelet transforms in magnetic resonance imaging. IEEE Trans. Info. Theory 38(2), 840–860 (1992)

    Article  Google Scholar 

  10. Hilton, M., Ogden, T., Hattery, D., Jawerth, G., Eden, B.: Wavelet denoising of functional MRI data, pp. 93–114 (1996)

    Google Scholar 

  11. Lysaker, M., Lundervold, A., Tai, X.: Noise removal using fourth-order partial differential equation with applications to medical magnetic resonance images in space and time. IEEE Trans. Imag. Proc. (2003)

    Google Scholar 

  12. Mangin, J.: Entropy minimization for automatic correction of intensity nonuniformity. In: IEEE Work. Math. Models Biomed. Imag. Anal., pp. 162–169 (2000)

    Google Scholar 

  13. Nowak, R.: Wavelet-based rician noise removal for magnetic resonance imaging. IEEE Trans. Imag. Proc. 8, 1408–1419 (1999)

    Article  Google Scholar 

  14. Osher, S., Fedkiw, R.: Level Set Methods and Dynamic Implicit Surfaces. Springer, Heidelberg (2003)

    MATH  Google Scholar 

  15. Perona, P., Malik, J.: Scale-space and edge detection using anisotropic diffusion. IEEE Trans. Pattern Anal. Mach. Intell. 12(7), 629–639 (1990)

    Article  Google Scholar 

  16. Portilla, J., Strela, V., Wainwright, M., Simoncelli, E.: Image denoising using scale mixtures of gaussians in the wavelet domain. IEEE Trans. Imag. Proc. 12(11), 1338–1351 (2003)

    Article  MathSciNet  Google Scholar 

  17. Scott, D.: Multivariate Density Estimation. Wiley, Chichester (1992)

    Book  MATH  Google Scholar 

  18. Shannon, C.: A mathematical theory of communication. Bell System Tech. Journal 27, 379–423 (1948)

    MATH  MathSciNet  Google Scholar 

  19. Sled, J., Zijdenbos, A., Evans, A.: A nonparametric method for automatic correction of intensity nonuniformity in mri data. IEEE Trans. Med. Imag. 17, 87–97 (1998)

    Article  Google Scholar 

  20. Viola, P., Wells, W.: Alignment by maximization of mutual information. In: Proc. Int. Conf. Comp. Vision, pp. 16–23 (1995)

    Google Scholar 

  21. Weissman, T., Ordentlich, E., Seroussi, G., Verdu, S., Weinberger, M.: Universal discrete denoising: Known channel. HP Labs Tech. Report HPL-2003-29 (2003)

    Google Scholar 

  22. Wells, W., Grimson, E., Kikinis, R., Jolesz, F.: Adaptive segmentation of mri data. In: Proc. Int. Conf. on Comp. Vision, pp. 59–69 (1995)

    Google Scholar 

  23. Yang, C., Duraiswami, R., Gumerov, N., Davis, L.: Improved fast gauss transform and efficient kernel density estimation. In: Proc. Int. Conf. Comp. Vision, pp. 464–471 (2003)

    Google Scholar 

  24. Zhang, Y., Brady, M., Smith, S.: Segmentation of brain mr images through a hidden markov random field model and the expectation-maximization algorithm. IEEE Trans. Med. Imag. 20(1) (2001)

    Google Scholar 

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© 2005 Springer-Verlag Berlin Heidelberg

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Awate, S.P., Whitaker, R.T. (2005). Nonparametric Neighborhood Statistics for MRI Denoising. In: Christensen, G.E., Sonka, M. (eds) Information Processing in Medical Imaging. IPMI 2005. Lecture Notes in Computer Science, vol 3565. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11505730_56

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  • DOI: https://doi.org/10.1007/11505730_56

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-26545-0

  • Online ISBN: 978-3-540-31676-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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