Abstract
We propose to segment 3D structures with competitive level sets driven by fuzzy control. To this end, several contours evolve simultaneously toward previously defined anatomical targets. A fuzzy decision system combines the a priori knowledge provided by an anatomical atlas with the intensity distribution of the image and the relative position of the contours. This combination automatically determines the directional term of the evolution equation of each level set. This leads to a local expansion or contraction of the contours, in order to match the borders of their respective targets. Two applications are presented: the segmentation of the brain hemispheres and the cerebellum, and the segmentation of deep internal structures. Experimental results on real MR images are presented, quantitatively assessed and discussed.
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References
Kass, M., Witkin, A., Terzopoulo, D.: Snakes: Active contour models. Int. Journal of Computer Vision 1(1), 321–331 (1988)
Malladi, R., Sethian, J.A., Vemuri, C.: Shape modeling with front propagation: a level set approach. IEEE Trans. PAMI Vol 17 17(2), 158–175 (1995)
Caselles, V., Kimmel, R., Sapiro, G.: Geodesic Active Contours. Int. Journal of Computer Vision 22(1), 61–79 (1997)
Yezzi Jr., A., Tsai, A., Willsky, A.: A Statistical Approach to Snakes for Bimodal and Trimodal Imagery. In: Proceedings of ICCV 1999, pp. 898–903 (1999)
Chan, T.F., Vese, L.A.: Active contours without edges. IEEE Trans. Image Pro- cessing 10(2), 266–277 (2001)
Vese, L.A., Chan, T.F.: A Multiphase Level Set Framework for Image Segmenta- tion using the Mumford and Shah Model. Int. Journal of Computer Vision 50(3) (2002)
Paragios, N.: A Variational Approach for the Segmentation of the Left Ventricle. Int. Journal of Computer Vision 50(3), 345–362 (2002)
Sifakis, E., Garcia, C., Tziritas, G.: Bayesian Level Sets for Image Segmentation. Journal of Visual Communication and Image Representation 13, 44–64 (2002)
Osher, S., Sethian, J.A.: Fronts Propagating with Curvature Dependant Speed: Algorithms Based on Hamilton-Jacobi Formulation. Journal of Computational Physics 79, 12–49 (1988)
Bouchon-Meunier, B., Marsala, C.: Logique floue, principes, aide à la dècision. Herm‘es Science Publications (2003)
Logique floue Observatoire Françcais des Techniques Avancèes (1994)
Xu, C., Pham, L., Rettmann, M.E., Yu, D.N., Prince, J.L.: Reconstruction of the Human Cerebral Cortex from Magnetic Resonance Images. IEEE Trans. Medical Imaging 18(6), 467–480 (1999)
Colliot, O., Camara, O., Dewynter, R., Bloch, I.: Description of brain internal structures by means of spatial relations for MR image segmentation. In: Proceedings of SPIE 2004 Medical Imaging, pp. 444–455 (2004)
Celeux, G., Diebolt, J.: L’algorithme SEM: un algorithme d’apprentissage probabiliste pour la reconnaissance de mélanges de densités. Revue de statistiques appliquées 34(2), 35–51 (1986)
Bouchon-Meunier, B., Marsala, C.: Traitement de données complexes et commande en logique floue. Hermès Science Publications (2003)
Ciofolo, C., Barillot, C., Hellier, P.: Combining fuzzy logic and level set methods for 3D MRI brain segmentation. In: Proceedings of ISBI 2004, pp. 161–164 (2004)
Ciofolo, C.: Atlas-based segmentation using level sets and fuzzy labels. In: Barillot, C., Haynor, D.R., Hellier, P. (eds.) MICCAI 2004. LNCS, vol. 3216, pp. 310–317. Springer, Heidelberg (2004)
Baillard, C., Hellier, P., Barillot, C.: Segmentation of brain 3D MR images using level sets and dense registration. Medical Image Analysis 5(3), 185–194 (2001)
Zhang, B., Zimmer, C., Olivo-Marin, J.-C.: Tracking fluorescent cells with coupled geometric active contours. In: Proceedings of ISBI 2004, pp. 476–479 (2004)
Collins, D.L., Zijdenbos, A.P., Kollokian, V., Sled, J.G., Kabani, N.J., Holmes, C.J., Evans, A.C.: Design and construction of a realistic digital brain phantom. IEEE Trans. Medical Imaging 17(3), 463–468 (1998)
Zijdenbos, A.P., Dawant, B.M., Margolin, R.A., Palmer, A.C.: Morphometric Analysis of White Matter Lesions in MR Images: Method and Validation. IEEE Trans. Medical Imaging 13(4), 716–724 (1994)
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Ciofolo, C., Barillot, C. (2005). Brain Segmentation with Competitive Level Sets and Fuzzy Control. 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_28
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DOI: https://doi.org/10.1007/11505730_28
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-26545-0
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