Comparative study of variational and level set approaches for shape extraction in cardiac CT images

Variational approaches based on level set representation have become some of the most important methodologies used to handle the segmentation tasks of biological structures in medical images. Because the segmentation is one of the most challenging processes in medical applications, all the methods fail to achieve perfect results. The major problems are due to noise, poor contrast and high variation of the structure shapes. In this paper, we review the principal level set – based methods that have been designed for image segmentation applications. These approaches include: Geodesic Active Contour, Chan-Vese Functional and Geodesic Active Regions. We also shortly analyze the first method proposed for shape extraction in images by using level set representation. We make a comparative study of the performance obtained for each method applied on cardiac CT images which present strong and very marked differences about the contrast and shape variation. Left ventricle is selected as structure of analysis. Measures of similarity are used to evaluate the performance of the methods.

[1]  Baba C. Vemuri,et al.  Shape Modeling with Front Propagation: A Level Set Approach , 1995, IEEE Trans. Pattern Anal. Mach. Intell..

[2]  Ronald Fedkiw,et al.  Level set methods and dynamic implicit surfaces , 2002, Applied mathematical sciences.

[3]  Timothy F. Cootes,et al.  Active Shape Models-Their Training and Application , 1995, Comput. Vis. Image Underst..

[4]  Wiro J. Niessen Model-Based Image Segmentation for Image-Guided Interventions , 2008 .

[5]  Guillermo Sapiro,et al.  Geodesic Active Contours , 1995, International Journal of Computer Vision.

[6]  Chao Li,et al.  Improved semi-automated segmentation of cardiac CT and MR images , 2009, 2009 IEEE International Symposium on Biomedical Imaging: From Nano to Macro.

[7]  J. Sethian,et al.  FRONTS PROPAGATING WITH CURVATURE DEPENDENT SPEED: ALGORITHMS BASED ON HAMILTON-JACOB1 FORMULATIONS , 2003 .

[8]  Chunming Li,et al.  Level set evolution without re-initialization: a new variational formulation , 2005, 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'05).

[9]  Roger Lecomte,et al.  Unsupervised cardiac PET image segmentation , 2011, 2011 18th International Conference on Systems, Signals and Image Processing.

[10]  S. Osher,et al.  Geometric Level Set Methods in Imaging, Vision, and Graphics , 2011, Springer New York.

[11]  Xinjian Chen,et al.  Joint segmentation of anatomical and functional images: Applications in quantification of lesions from PET, PET-CT, MRI-PET, and MRI-PET-CT images , 2013, Medical Image Anal..

[12]  TianGe Zhuang,et al.  Applying improved fast marching method to endocardial boundary detection in echocardiographic images , 2003, Pattern Recognit. Lett..

[13]  D. Mumford,et al.  Optimal approximations by piecewise smooth functions and associated variational problems , 1989 .

[14]  Amar Mitiche,et al.  Variational and Level Set Methods in Image Segmentation , 2010 .

[15]  Anthony J. Yezzi,et al.  Gradient flows and geometric active contour models , 1995, Proceedings of IEEE International Conference on Computer Vision.

[16]  Timothy F. Cootes,et al.  Active Appearance Models , 1998, ECCV.

[17]  Tony F. Chan,et al.  Active contours without edges , 2001, IEEE Trans. Image Process..

[18]  Demetri Terzopoulos,et al.  Snakes: Active contour models , 2004, International Journal of Computer Vision.

[19]  K Kadir,et al.  LV wall segmentation using the variational level set method (LSM) with additional shape constraint for oedema quantification , 2012, Physics in medicine and biology.

[20]  Piotr J. Slomka,et al.  Curve evolution with a dual shape similarity and its application to segmentation of left ventricle , 2009, Medical Imaging.

[21]  James A. Sethian,et al.  Level Set Methods and Fast Marching Methods , 1999 .

[22]  Piotr J. Slomka,et al.  Multiphase segmentation using an implicit dual shape prior: Application to detection of left ventricle in cardiac MRI , 2013, Comput. Vis. Image Underst..

[23]  Xavier Bresson,et al.  Efficient Algorithm for Level Set Method Preserving Distance Function , 2012, IEEE Transactions on Image Processing.