Abstract
Segmentation of the left ventricle (LV) is a hot topic in cardiac magnetic resonance (MR) images analysis. To make thorough use of the anatomical and functional information, it is necessary to segment the endocardium and epicardium of the left ventricle. However, automatic and accurate segmentation of the left ventricle remains a challenging problem because of papillary muscles, lack of edge information, image inhomogeneity and low contrast at the epicardium. In this chapter, we address the shape constraints for extracting the endocardium and epicardium from cardiac cine MRI based on snake models. For endocardium segmentation, a circle/ellipse-based shape energy term is incorporated into the snake model. With this prior constraint, the snake contour can conquer the unexpected local minimum stemming from artifacts and papillary muscle. After extracting the endocardium, the edge map is modified to yield a new external force field for active contours, which automatically pushes the snake contour directly to the epicardium by employing the endocardium result as initialization. However, the circle constraint does not work very well for the epicardium, and the ellipse constraint needs the troublesome calculation of the ellipse orientation during snake evolution. Assuming that the epicardium resembles the endocardium in shape, we further propose a novel shape similarity energy for epicardium segmentation. With this energy, the snake model can avoid being trapped into artifacts and leaking out at weak boundaries. Based on the circle constraint and shape similarity energy, we present an automatic algorithm to extract the endocardium and epicardium of the LV simultaneously. Both qualitative and quantitative evaluations on our dataset and the publicly available database (e.g., MICCAI 2009) demonstrate the good performance of our algorithm.
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References
Roger VL, Benjamin EJ, Go AS, Mozaffarian D (2013) Heart disease and stroke statistics-2013 update a report from the american heart association. Circulation 127(1): e6–e245
Frangi A, Niessen W, Viergever M (2001) Three-dimensional modeling for functional analysis of cardiac images: a review. IEEE Trans Med Imaging 20(1):2–5
Ayed I, Chen H, Punithakumar K, Ross I, Li S (2012) Max-flow segmentation of the left ventricle by recovering subject-specific distributions via a bound of the bhattacharyya measure. Med Image Anal 16:87–100
Punithakumar K, Ben Ayed I, Islam A, Ross I, Li S (2010) Tracking endocardial motion via multiple model filtering. IEEE Trans Biomed Eng 57(8): 2001–2010
Ben Ayed I, Punithakumar K, Li S, Islam A, Chong J (2009) Left ventricle segmentation via graph cut distribution matching. In: Medical image computing and computer-assisted intervention-MICCAI 2009, pp 901–909
Cousty J, Najman L, Couprie M, Clément-Guinaudeau S, Goissen T, Garot J (2010) Segmentation of 4 D cardiac MRI: automated method based on spatio-temporal watershed cuts. Image Vis Comput 28(8):1229–1243
Cocosco C, Niessen W, Netsch T, Vonken E, Lund G, Stork A, Viergever M (2008) Automatic image-driven segmentation of the ventricles in cardiac cine MRI. J Magn Reson Imaging 28(2):366–374
Pednekar A, Kurkure U, Muthupillai R, Flamm S, Kakadiaris I (2006) Automated left ventricular segmentation in cardiac MRI. IEEE Trans Biomed Eng 53(7):1425–1428
Kurkure U, Pednekar A, Muthupillai R, Flamm S, Kakadiaris I (2009) Localization and segmentation of left ventricle in cardiac cine- MR images. IEEE Trans Biomed Eng 56(5):1360–1370
Kass M, Witkin A, Terzopoulos D (1988) Snakes: active contour models. Int J Comput Vision 1(4):321–331
Paragios N (2003) A level set approach for shape-driven segmentation and tracking of the left ventricle. IEEE Trans Med Imaging 22(6):773–776
Ben Ayed I, Li S, Ross I (2009) Embedding overlap priors in variational left ventricle tracking. IEEE Trans Med Imaging 28(12): 1902–1913
Wang Y, Jia Y (2006) Segmentation of the left ventricle from cardiac MR images based on degenerated minimal surface diffusion and shape priors. In: 18th International conference on pattern recognition, 2006. ICPR 2006, vol. 4. IEEE, pp 671–674
Liang J, Ding G, Wu Y (2008) Segmentation of the left ventricle from cardiac MR images based on radial GVF snake. In: International Conference on BioMedical Engineering and Informatics, 2008. BMEI 2008, vol 2. IEEE, pp 238–242
Cootes T, Taylor C, Cooper D, Graham J et al (1995) Active shape models-their training and application. Comput Vis Image Underst 61(1):38–59
Cootes TF, Edwards GJ, Taylor CJ (2001) Active appearance models. IEEE Trans Pattern Anal Mach Intell 23(6):681–685
Zhang H, Wahle A, Johnson R, Scholz T, Sonka M (2010) 4-D cardiac MR image analysis: Left and right ventricular morphology and function. IEEE Trans Med Imaging 29(2):350–364
Carneiro G, Nascimento J, Freitas A (2012) The segmentation of the left ventricle of the heart from ultrasound data using deep learning architectures and derivative-based search methods. IEEE Trans Image Process 21(3):968–982
Petitjean C, Dacher J (2011) A review of segmentation methods in short axis cardiac MR images. Med Image Anal 15(2):169–184
Wang Y, Jia Y (2006) Segmentation of the left venctricle from MR images via snake models incorporating shape similarities. In: 2006 IEEE International conference on image processing. IEEE, pp 213–216
Wang Y, Jia Y (2008) External force for active contours: gradient vector convolution. In: PRICAI, (2008) trends in artificial intelligence, pp 466–472
Wang Y, Liang J, Jia Y (2007) On the critical point of gradient vector flow snake. In: Proceedings of the 8th Asian conference on computer vision-volume Part II. Springer-Verlag, pp 754–763
Wu Y, Wang Y, Jia Y (2013) Segmentation of the left ventricle in cardiac cine mri using a shape-constrained snake model. Comput Vis Image Underst 117(9):990–1003. http://dx.doi.org/10.1016/j.cviu.2012.12.008
Ranganath S (1995) Contour extraction from cardiac MRI studies using snakes. IEEE Trans Med Imaging 14(2):328–338
Makowski P, Sørensen T, Therkildsen S, Materka A, Stødkilde-Jørgensen H, Pedersen E (2002) Two-phase active contour method for semiautomatic segmentation of the heart and blood vessels from MRI images for 3 D visualization. Comput Med Imaging Graph 26(1):9–17
Cohen LD (1991) On active contour models and balloons. CVGIP: Image underst 53(2):211–218
Hautvast G, Lobregt S, Breeuwer M, Gerritsen F (2006) Automatic contour propagation in cine cardiac magnetic resonance images. IEEE Trans Med Imaging 25(11):1472–1482
Xu C, Prince J (1998) Snakes, shapes, and gradient vector flow. IEEE Trans Image Process 7(3):359–369
Santarelli M, Positano V, Michelassi C, Lombardi M, Landini L (2003) Automated cardiac MR image segmentation: theory and measurement evaluation. Med Eng Phys 25(2):149–159
Lee H, Codella N, Cham M, Weinsaft J, Wang Y (2010) Automatic left ventricle segmentation using iterative thresholding and an active contour model with adaptation on short-axis cardiac MRI. IEEE Trans. Biomed. Eng 57(4):905–913
Nguyen D, Masterson K, Vallée J (2007) Comparative evaluation of active contour model extensions for automated cardiac MR image segmentation by regional error assessment. Magn Reson Mater Phys, Biol Med 20(2):69–82
Paragios N (2002) A variational approach for the segmentation of the left ventricle in cardiac image analysis. Int J Comput Vision 50(3):345–362
Folkesson J, Samset E, Kwong R, Westin C (2008) Unifying statistical classification and geodesic active regions for segmentation of cardiac MRI. IEEE Trans Inf Technol Biomed 12(3):328–334
Alessandrini M, Dietenbeck T, Basset O, Friboulet D, Bernard O (2011) Using a geometric formulation of annular-like shape priors for constraining variational level-sets. Pattern Recogn Lett 32(9):1240–1249
Pluempitiwiriyawej C, Moura J, Wu Y, Ho C (2005) Stacs: new active contour scheme for cardiac mr image segmentation. IEEE Trans Med Imaging 24(5):593–603
Chen T, Babb J, Kellman P, Axel L, Kim D (2008) Semiautomated segmentation of myocardial contours for fast strain analysis in cine displacement-encoded MRI. IEEE Trans Med Imaging 27(8):1084–1094
Lynch M, Ghita O, Whelan P (2006) Left-ventricle myocardium segmentation using a coupled level-set with a priori knowledge. Comput Med Imaging Graph 30(4):255–262
Punithakumar K, Ben Ayed I, Ross I, Islam A, Chong J, Li S (2010) Detection of left ventricular motion abnormality via information measures and bayesian filtering. IEEE Trans Inf Technol Biomed 14(4):1106–1113
Lynch M, Ghita O, Whelan P (2008) Segmentation of the left ventricle of the heart in 3- D+ t MRI data using an optimized nonrigid temporal model. IEEE Trans Med Imaging 27(2):195–203
Osher S, Sethian J (1988) Fronts propagating with curvature-dependent speed: algorithms based on hamilton-jacobi formulations. J Comput Phys 79(1):12–49
Zhu Y, Papademetris X, Sinusas A, Duncan J (2010) Segmentation of the left ventricle from cardiac MR images using a subject-specific dynamical model. IEEE Trans Med Imaging 29(3):669–687
Jolly M (2006) Automatic segmentation of the left ventricle in cardiac mr and ct images. Int J Comput Vision 70(2):151–163
Duta N, Jain AK, Jolly MP (1999) Learning 2d shape models. In: Proceedings of the international conference on computer vision and pattern recognition, vol 2, 7–14
Lorenzo-Valdés M, Sanchez-Ortiz GI, Elkington AG, Mohiaddin RH, Rueckert D et al (2004) Segmentation of 4d cardiac mr images using a probabilistic atlas and the em algorithm. Med Image Anal 8(3):255–265
Van Assen HC, Danilouchkine MG, Frangi AF, Ordas S, Westenberg JJ, Reiber JH, Lelieveldt BP (2006) Spasm: a 3d-asm for segmentation of sparse and arbitrarily oriented cardiac mri data. Med Image Anal 10(2):286–303
van Assen HC, Danilouchkine MG, Dirksen MS, Reiber JH, Lelieveldt BP (2008) A 3-d active shape model driven by fuzzy inference: application to cardiac ct and mr. IEEE Trans Inf Technol Biomed 12(5):595–605
Matthews I, Baker S (2004) Active appearance models revisited. Int J Comput Vision 60(2):135–164
Gopal S, Otaki Y, Arsanjani R, Berman D, Terzopoulos D, Slomka P (2013) Combining active appearance and deformable superquadric models for lv segmentation in cardiac mri. In: SPIE medical imaging, international society for optics and photonics, pp 86690G–86690G
Ghose S, Oliver A, Marti R, Llado X, Freixenet J, Mitra J, Vilanova JC, Meriaudeau F (2012) A hybrid framework of multiple active appearance models and global registration for 3d prostate segmentation in mri. In: SPIE Medical imaging, international society for optics and photonics, pp 83140S–83140S
Mitchell SC, Lelieveldt BPF, van der Geest RJ, Bosch HG, Reiver J, Sonka M (2001) Multistage hybrid active appearance model matching: segmentation of left and right ventricles in cardiac mr images. IEEE Trans Med Imaging 20(5):415–423
Pfeifer B, Hanser F, Seger M, Hintermueller C, Modre-Osprian R, Fischer G, Muehlthaler H, Trieb T, Tilg B (2005) Cardiac modeling using active appearance models and morphological operators. In: Medical imaging, international society for optics and photonics, pp 279–289
Zambal S, Hladuvka J, Buhler K (2006) Improving segmentation of the left ventricle using a two-component statistical model. In: Medical image computing and computer-assisted intervention-MICCAI 2006. Springer, pp 151–158
Ray N, Acton S (2004) Motion gradient vector flow: an external force for tracking rolling leukocytes with shape and size constrained active contours. IEEE Trans Med Imaging 23(12):1466–1478
Caselles V, Kimmel R, Sapiro G (1997) Geodesic active contours. Int J Comput Vision 22(1):61–79
Chan T, Vese L (2001) Active contours without edges. IEEE Trans Image Process 10(2):266–277
Zhang K, Zhang L, Song H, Zhou W (2010) Active contours with selective local or global segmentation: a new formulation and level set method. Image Vis Comput 28(4):668–676
Xie X, Mirmehdi M (2008) MAC: magnetostatic active contour model. IEEE Trans Pattern Anal Mach Intell 30(4):632–646
Tang J (2009) A multi-direction GVF snake for the segmentation of skin cancer images. Pattern Recogn 42(6):1172–1179
Mishra A, Fieguth P, Clausi D (2011) Decoupled active contour (dac) for boundary detection. IEEE Trans Pattern Anal Mach Intell 33(2):310–324
Cheng J, Foo S (2006) Dynamic directional gradient vector flow for snakes. IEEE Trans. Image Process 15(6):1563–1571
Wu Y, Jia Y, Wang Y (2010) Adaptive diffusion flow for parametric active contours. In: 20th International conference on pattern recognition, ICPR 2010. IEEE, 2010, pp 2788–2791
Xu C, Prince J (1998) Generalized gradient vector flow external forces for active contours. Signal Process 71(2):131–139
Lu S, Wang Y (2010) Gradient vector flow over manifold for active contours. In: Proceedings of the 9th Asian conference on computer vision, ACCV 2009. Springer-Verlag, pp 147–156
Park H, Chung M (2002) External force of snake: virtual electric field. Electron Lett 38(24):1500–1502
Yuan D, Lu S (2002) Simulated static electric field (ssef) snake for deformable models. In: Proceedings of 16th International Conference on Pattern Recognition, vol 1. IEEE, pp 83–86
Jalba AC, Wilkinson MH, Roerdink JB (2004) Cpm: a deformable model for shape recovery and segmentation based on charged particles. IEEE Trans Pattern Anal Mach Intell 26(10):1320–1335
Li B, Acton S (2007) Active contour external force using vector field convolution for image segmentation. IEEE Trans Image Process 16(8):2096–2106
Vidholm E, Sundqvist P, Nystrom I (2006) Accelerating the computation of 3d gradient vector flow fields. In: 18th International conference on pattern recognition, ICPR 2006, vol 3. IEEE, pp 677–680
Han X, Xu C, Prince J (2007) Fast numerical scheme for gradient vector flow computation using a multigrid method. IET Image Proc 1(1):48–55
Boukerroui D (2012) Efficient numerical schemes for gradient vector flow. Pattern Recogn 45(1):626–636
Ren D, Zuo W, Zhao X, Lin Z, Zhang D (2013) Fast gradient vector flow computation based on augmented lagrangian method. Pattern Recogn Lett 2(34):219-225
Ray N, Acton S, Ley K (2002) Tracking leukocytes in vivo with shape and size constrained active contours. IEEE Trans Med Imaging 21(10):1222–1235
Otsu N (1975) A threshold selection method from gray-level histograms. Automatica 11:285–296
Mikic I, Krucinski S, Thomas J (1998) Segmentation and tracking in echocardiographic sequences: active contours guided by optical flow estimates. IEEE Trans Med Imaging 17(2):274–284
Radau P, Lu Y, Connelly K, Paul G, Dick A, Wright G (2009) Evaluation framework for algorithms segmenting short axis cardiac mri. the midas journal-cardiac mr left ventricle segmentation challenge, 2009. http://hdl.handle.net/10380/3070
Acknowledgments
This work was supported in part by the Natural Science Foundation of China(NSFC) under Grants No.90920009 & No. 60602050, and the Key Program from the Tianjin Commission of Technology of China under Grant No. 11JCZDJC15600.
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Wang, Y., Wu, Y., Jia, Y. (2014). Shape Constraints for the Left Ventricle Segmentation from Cardiac Cine MRI Based on Snake Models. In: Li, S., Tavares, J. (eds) Shape Analysis in Medical Image Analysis. Lecture Notes in Computational Vision and Biomechanics, vol 14. Springer, Cham. https://doi.org/10.1007/978-3-319-03813-1_12
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