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A Novel Segmentation Algorithm Based on Level Set Approach with Intensity Inhomogeneity: Application to Medical Images

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Advanced Control Engineering Methods in Electrical Engineering Systems (ICEECA 2017)

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 522))

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Abstract

Most image segmentation techniques are based on the intensity homogeneity. Intensity inhomogeneity frequently occurs in real word image like medical images. This type of images fails to provide accurate segmentation result; this is challenging issue. In this paper, we present a robust region-based method for image segmentation, which is able to deal with intensity inhomogeneities in the images. This method derives a local intensity clustering property of the image based on the model of images with intensity inhomogeneities, and then defines a local clustering criterion function in the neighborhood of each point. In a level set formulation, this criterion defines energy in terms of the level set function and a bias field. The level set functions represent a partition of the image domain whereas a bias field accounts for the intensity inhomogeneity of the image. Therefore by minimizing this energy, our proposed method is able to simultaneously segment the image and estimate he bias field, and the estimated bias field can be used for intensity inhomogeneity correction. Finally, experiments on some medical images have demonstrated the efficiency and robustness of the presented model.

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References

  1. Guo, D., Ming, X.: Color clustering and learning for image segmentation based on neural networks. IEEE Trans. Neural Netw. 16(4), 925–936 (2005)

    Article  MathSciNet  Google Scholar 

  2. Li, C., Xu, C., Gui, C., Fox, M D.: Level set evolution without re-initialization: a new variational formulation. In: Proceedings of IEEE Conference Computer Vision and Pattern Recognition, vol. 1, pp. 430–436 (2005)

    Google Scholar 

  3. Caselles, V., Kimmel, R., Sapiro, G.: Geodesic active contours. Int. J. Comput. Vision 22(1), 61–79 (1997)

    Article  Google Scholar 

  4. Kass, M., Witkin, A., Terzopoulos, D.: Snakes: active contour models. Int. J. Comput. Vision 1(4), 321–331 (1988)

    Article  Google Scholar 

  5. Osher, S., Sethian, J.A.: Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations. J. Comput. Phys. 79(1), 12–49 (1988)

    Article  MathSciNet  Google Scholar 

  6. Chan, T.F., Vese, L.A.: Active contours without edges. IEEE Trans. Image Process. 10(2), 266–277 (2001)

    Article  Google Scholar 

  7. Tsai, A.Y., Willsky, A.S.: Curve evolution implementation of the Mumford-Shah functional for image segmentation, denoising, interpolation, and magnification. IEEE Trans. Image Process. 10(8), 1169–1186 (2001)

    Article  Google Scholar 

  8. Paragios, N., Deriche, R.: Geodesic active regions and level set methods for supervised texture segmentation. Int. J. Comput. Vis. 46(4), 223–247 (2002)

    Article  Google Scholar 

  9. Gao, S., Bui, T.D.: Image segmentation and selective smoothing by using Mumford-Shah model. IEEE Trans. Image Process. 14(10), 1537–1549 (2005)

    Article  Google Scholar 

  10. Glover, G.H., Hayes, C.E., Pelc, N.J.: Comparison of linear and circular polarization for magnetic resonance imaging. J. Magn. Reson. 64(2), 255–270 (1985)

    Google Scholar 

  11. Harvey, I., Tofts, P.S., Morris, J.K., Wicks, D.A.G., Ron, M.A.: Sources of T1 variance in normal human white matter. Magn. Reson. Imaging 9(1), 53–59 (1991)

    Article  Google Scholar 

  12. Simmons, A., Tofts, P.S., Barker, G.J., Arridge, S.R.: Sources of intensity nonuniformity in spin echo images at 1.5T. Magn. Reson. Med. 32(1), 121–128 (1994)

    Article  Google Scholar 

  13. Narayana, P.A., Brey, W.W., Kulkarni, M.V., Sievenpiper, C.L.: Compensation for surface coil sensitivity variation in magnetic resonance imaging. Magn. Reson. Imaging 6(3), 271–274 (1988)

    Article  Google Scholar 

  14. Brey, W.W., Narayana, P.A.: Correction for intensity falloff in surface coil magnetic resonance imaging. Med. Phys. 15(2), 241–245 (1988)

    Article  Google Scholar 

  15. Stollberger, R., Wach, P.: Imaging of the active b1 field in vivo. Magn. Reson. Med. 35(2), 246–251 (1996)

    Article  Google Scholar 

  16. McVeigh, E.R., Bronskill, M.J., Henkelman, R.M.: Phase and sensitivity of receiver coils in magnetic resonance imaging. Med. Phys. 13(6), 806–814 (1986)

    Article  Google Scholar 

  17. Roemer, P.B., Edelstein, W.A., Hayes, C.E., Souza, S.P., Mueller, O.M.: The NMR phased array. Magn. Reson. Med. 16(2), 192–225 (1990)

    Article  Google Scholar 

  18. Noll, D.C., Meyer, C.H., Pauly, J.M., Nishimura, D.G., Macovski, A.: A homogeneity correction method for magnetic resonance imaging with time-varying gradients. IEEE Trans. Med. Imaging 10(4), 629–637 (1991)

    Article  Google Scholar 

  19. Hayes, C.E., Hattes, N., Roemer, P.B.: Volume imaging with MR phased arrays. Magn. Reson. Med. 18(2), 309–319 (1991)

    Article  Google Scholar 

  20. Li, C., et al.: A level set method for image segmentation in the presence of intensity inhomogeneities with application to MRI. IEEE Trans. Image Process. 20(7), 2007–2016 (2011)

    Article  MathSciNet  Google Scholar 

  21. Zhang, K., Liu, Q., Song, H., Li, X.: A variational approach to simultaneous image segmentation and bias correction. IEEE Trans. Cybern. 45, 1426–1437 (2014)

    Article  Google Scholar 

  22. Theodoridis, S., Koutroumbas, K.: Pattern Recognition. Academic, New York (2003)

    MATH  Google Scholar 

  23. Arms XRay.png: borrowed (NIH). http://rsbweb.nih.gov/ij/index.html

  24. Brain MRI.png: borrowed. http://www.itk.org/(Kitware)

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Correspondence to Messaouda Larbi .

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Larbi, M., Messali, Z., Fortaki, T., Bouridane, A. (2019). A Novel Segmentation Algorithm Based on Level Set Approach with Intensity Inhomogeneity: Application to Medical Images. In: Chadli, M., Bououden, S., Ziani, S., Zelinka, I. (eds) Advanced Control Engineering Methods in Electrical Engineering Systems. ICEECA 2017. Lecture Notes in Electrical Engineering, vol 522. Springer, Cham. https://doi.org/10.1007/978-3-319-97816-1_33

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