Incorporating shape prior into active contours with a sparse linear combination of training shapes: Application to corpus callosum segmentation

In this paper, a novel method of embedding shape information into level set image segmentation is proposed. Our method is based on inferring shape variations by a sparse linear combination of instances in the shape repository. Given a sufficient number of training shapes with variations, a new shape can be approximated by a linear span of training shapes associated with those variations. At each step of curve evolution the curve is moved to minimize Chan-Vese energy functional as well as toward the best approximation based on a linear combination of training samples. Although the method is general, in this paper it has been applied to the problem of segmentation of corpus callosum from 2D sagittal MR images.

[1]  O. Faugeras,et al.  Statistical shape influence in geodesic active contours , 2002, 5th IEEE EMBS International Summer School on Biomedical Imaging, 2002..

[2]  Hongbing Lu,et al.  Partial sparse shape constrained sector-driven bladder wall segmentation , 2015, Machine Vision and Applications.

[3]  Clement Vachet,et al.  Automatic corpus callosum segmentation using a deformable active Fourier contour model , 2012, Medical Imaging.

[4]  Allen Y. Yang,et al.  Robust Face Recognition via Sparse Representation , 2009, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[5]  D. Donoho For most large underdetermined systems of linear equations the minimal 𝓁1‐norm solution is also the sparsest solution , 2006 .

[6]  Junzhou Huang,et al.  Towards robust and effective shape modeling: Sparse shape composition , 2012, Medical Image Anal..

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

[8]  J. Sethian,et al.  Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations , 1988 .

[9]  S. Osher,et al.  Algorithms Based on Hamilton-Jacobi Formulations , 1988 .

[10]  Qing He,et al.  A Context-Sensitive Active Contour for 2D Corpus Callosum Segmentation , 2007, Int. J. Biomed. Imaging.

[11]  Lynn K. Paul,et al.  Developmental malformation of the corpus callosum: a review of typical callosal development and examples of developmental disorders with callosal involvement , 2010, Journal of Neurodevelopmental Disorders.

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

[13]  Justin K. Romberg,et al.  Convex Cardinal Shape Composition , 2015, SIAM J. Imaging Sci..

[14]  Wenjiang J. Fu Penalized Regressions: The Bridge versus the Lasso , 1998 .