An efficient local and global model for image segmentation

In this paper, a new region-based active contour model using a variational level set formulation is proposed for image segmentation. The model is based on curve evolution, local statistical function and level set method. The energy function for the proposed model consists of two components: global component and local component. By introducing the local term, the images with intensity inhomogeneities can be efficiently segmented. Moreover, a smoothness regularization is derived from a Gaussian filtering term. This allows avoiding re-initialization while ensuring the smoothness of the level set function. The addition of the global term makes the model more flexible to the location of initial contour. Experimental results show that our method is less sensitive to the location of initial contour and demonstrate the performance of our model.

[1]  V. Caselles,et al.  A geometric model for active contours in image processing , 1993 .

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

[3]  Jitendra Malik,et al.  Scale-Space and Edge Detection Using Anisotropic Diffusion , 1990, IEEE Trans. Pattern Anal. Mach. Intell..

[4]  Anthony J. Yezzi,et al.  Curve evolution implementation of the Mumford-Shah functional for image segmentation, denoising, interpolation, and magnification , 2001, IEEE Trans. Image Process..

[5]  Pierre Kornprobst,et al.  Mathematical problems in image processing - partial differential equations and the calculus of variations , 2010, Applied mathematical sciences.

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

[7]  Dzung L. Pham,et al.  CHAPTER 3 Image Segmentation Using Deformable Models , 2000 .

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

[9]  Weihong Guo,et al.  using Prior Shape and Points in Medical Image Segmentation , 2003, EMMCVPR.

[10]  R. Boscolo,et al.  Medical image segmentation with knowledge-guided robust active contours. , 2002, Radiographics : a review publication of the Radiological Society of North America, Inc.

[11]  Tony F. Chan,et al.  A Multiphase Level Set Framework for Image Segmentation Using the Mumford and Shah Model , 2002, International Journal of Computer Vision.

[12]  Rachid Deriche,et al.  Geodesic Active Regions: A New Framework to Deal with Frame Partition Problems in Computer Vision , 2002, J. Vis. Commun. Image Represent..

[13]  Lei Zhang,et al.  Active contours driven by local image fitting energy , 2010, Pattern Recognit..

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

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

[16]  W. Clem Karl,et al.  Real-time tracking using level sets , 2005, 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'05).

[17]  Chunming Li,et al.  Implicit Active Contours Driven by Local Binary Fitting Energy , 2007, 2007 IEEE Conference on Computer Vision and Pattern Recognition.

[18]  Chunming Li,et al.  Brain MR Image Segmentation Using Local and Global Intensity Fitting Active Contours/Surfaces , 2008, MICCAI.

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

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