A probability model-based level set method for biomedical image segmentation

Level set methods are useful tools for medical image segmentation. In this paper, a novel image segmentation technique was developed that combines region statistical information with the level set method. The classical level set methods depend mainly on local edge-based image features to guide the convergence of the contour. This makes the method sensitive to noise and the initial estimate. The method has two features. The first is that it uses obtain region-based information by a mixture model. The second feature is that we combine region statistical information with curvature-based regularization penalizing the length of curve. The method is useful for a large variety of segmentation problems. We present some preliminary experimental results using synthetic images and, magnetic resonance (MR), ultrasound (US), computed tomography (CT) images to demonstrate our methods. The experimental results show that by incorporating region statistical information into the level set framework, an accurate and robust segmentation can be achieved.

[1]  H. Soner,et al.  Three-phase boundary motions under constant velocities. I: The vanishing surface tension limit , 1996, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

[2]  Rachid Deriche,et al.  Geodesic active regions for supervised texture segmentation , 1999, Proceedings of the Seventh IEEE International Conference on Computer Vision.

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

[4]  Alan L. Yuille,et al.  Region Competition: Unifying Snakes, Region Growing, and Bayes/MDL for Multiband Image Segmentation , 1996, IEEE Trans. Pattern Anal. Mach. Intell..

[5]  Tony F. Chan,et al.  An Active Contour Model without Edges , 1999, Scale-Space.

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

[7]  James S. Duncan,et al.  Deformable boundary finding in medical images by integrating gradient and region information , 1996, IEEE Trans. Medical Imaging.

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

[9]  Anthony J. Yezzi,et al.  A statistical approach to snakes for bimodal and trimodal imagery , 1999, Proceedings of the Seventh IEEE International Conference on Computer Vision.

[10]  Kanungo,et al.  A fast algorithm for MDL-based multi-band image segmentation , 1994, CVPR 1994.

[11]  Rachid Deriche,et al.  Geodesic Active Contours and Level Sets for the Detection and Tracking of Moving Objects , 2000, IEEE Trans. Pattern Anal. Mach. Intell..

[12]  P Réfrégier,et al.  Optimal snake-based segmentation of a random luminance target on a spatially disjoint background. , 1996, Optics letters.

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

[14]  G. Sapiro,et al.  Geometric partial differential equations and image analysis [Book Reviews] , 2001, IEEE Transactions on Medical Imaging.