An efficient local Chan-Vese model for image segmentation

In this paper, a new local Chan-Vese (LCV) model is proposed for image segmentation, which is built based on the techniques of curve evolution, local statistical function and level set method. The energy functional for the proposed model consists of three terms, i.e., global term, local term and regularization term. By incorporating the local image information into the proposed model, the images with intensity inhomogeneity can be efficiently segmented. In addition, the time-consuming re-initialization step widely adopted in traditional level set methods can be avoided by introducing a new penalizing energy. To avoid the long iteration process for level set evolution, an efficient termination criterion is presented which is based on the length change of evolving curve. Particularly, we proposed constructing an extended structure tensor (EST) by adding the intensity information into the classical structure tensor for texture image segmentation. It can be found that by combining the EST with our LCV model, the texture image can be efficiently segmented no matter whether it presents intensity inhomogeneity or not. Finally, experiments on some synthetic and real images have demonstrated the efficiency and robustness of our model. Moreover, comparisons with the well-known Chan-Vese (CV) model and recent popular local binary fitting (LBF) model also show that our LCV model can segment images with few iteration times and be less sensitive to the location of initial contour and the selection of governing parameters.

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

[2]  Azriel Rosenfeld,et al.  Computer Vision , 1988, Adv. Comput..

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

[4]  J. Weickert,et al.  Level-Set Methods for Tensor-Valued Images , 2003 .

[5]  S. Osher,et al.  Total variation and level set methods in image science , 2005, Acta Numerica.

[6]  Rachid Deriche,et al.  Geodesic Active Regions and Level Set Methods for Supervised Texture Segmentation , 2002, International Journal of Computer Vision.

[7]  J. Bigun,et al.  Optimal Orientation Detection of Linear Symmetry , 1987, ICCV 1987.

[8]  Zhizhou Wang,et al.  Tensor Field Segmentation Using Region Based Active Contour Model , 2004, ECCV.

[9]  Tien D. Bui,et al.  Image segmentation and selective smoothing by using Mumford-Shah model , 2005, IEEE Transactions on Image Processing.

[10]  Anthony Yezzi,et al.  Hybrid geodesic region-based curve evolutions for image segmentation , 2007, SPIE Medical Imaging.

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

[12]  J. Sethian,et al.  A Fast Level Set Method for Propagating Interfaces , 1995 .

[13]  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.

[14]  Dana H. Ballard,et al.  Computer Vision , 1982 .

[15]  Olivier D. Faugeras,et al.  Reconciling Distance Functions and Level Sets , 1999, Scale-Space.

[16]  Chenyang Xu,et al.  Gamma -Convergence Approximation to Piecewise Smooth Medical Image Segmentation , 2007, MICCAI.

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

[18]  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).

[19]  Allen R. Tannenbaum,et al.  Localizing Region-Based Active Contours , 2008, IEEE Transactions on Image Processing.

[20]  Zujun Hou,et al.  A Review on MR Image Intensity Inhomogeneity Correction , 2006, Int. J. Biomed. Imaging.

[21]  Paul Y. S. Cheung,et al.  Vessel Extraction Under Non-Uniform Illumination: A Level Set Approach , 2008, IEEE Transactions on Biomedical Engineering.

[22]  Abu-Bakr Al-Mehdi,et al.  Increased Depth of Cellular Imaging in the Intact Lung Using Far-Red and Near-Infrared Fluorescent Probes , 2006, Int. J. Biomed. Imaging.

[23]  J. Douglas Birdwell,et al.  Efficient Implementation of the Chan-Vese Models Without Solving PDEs , 2006, 2006 IEEE Workshop on Multimedia Signal Processing.

[24]  B. Ripley,et al.  Pattern Recognition , 1968, Nature.

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

[26]  Bostjan Likar,et al.  A Review of Methods for Correction of Intensity Inhomogeneity in MRI , 2007, IEEE Transactions on Medical Imaging.

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

[28]  Olivier D. Faugeras,et al.  Image Segmentation Using Active Contours: Calculus of Variations or Shape Gradients? , 2003, SIAM J. Appl. Math..

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

[30]  Rachid Deriche,et al.  Active unsupervised texture segmentation on a diffusion based feature space , 2003, 2003 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, 2003. Proceedings..

[31]  Nikos Dimitropoulos,et al.  Variable Background Active Contour Model for Computer-Aided Delineation of Nodules in Thyroid Ultrasound Images , 2007, IEEE Transactions on Information Technology in Biomedicine.

[32]  Daniel Cremers,et al.  On the Statistical Interpretation of the Piecewise Smooth Mumford-Shah Functional , 2007, SSVM.

[33]  Jibin Zhao,et al.  An Optimal Initialization Technique for Improving the Segmentation Performance of Chan-Vese Model , 2007, 2007 IEEE International Conference on Automation and Logistics.

[34]  Tony F. Chan,et al.  A Level-Set and Gabor-based Active Contour Algorithm for Segmenting Textured Images , 2002 .

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

[36]  Mark Sussman,et al.  An Efficient, Interface-Preserving Level Set Redistancing Algorithm and Its Application to Interfacial Incompressible Fluid Flow , 1999, SIAM J. Sci. Comput..

[37]  Niels Chr. Overgaard,et al.  Initialization Techniques for Segmentation with the Chan-Vese Model , 2006, 18th International Conference on Pattern Recognition (ICPR'06).

[38]  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..

[39]  Théodore Papadopoulo,et al.  Efficient Segmentation of Piecewise Smooth Images , 2007, SSVM.

[40]  Chaomin Shen,et al.  A variational formulation for segmenting desired objects in color images , 2007, Image Vis. Comput..

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

[42]  Denis Friboulet,et al.  Compactly Supported Radial Basis Functions Based Collocation Method for Level-Set Evolution in Image Segmentation , 2007, IEEE Transactions on Image Processing.

[43]  W. Clem Karl,et al.  A fast level set method without solving PDEs [image segmentation applications] , 2005, Proceedings. (ICASSP '05). IEEE International Conference on Acoustics, Speech, and Signal Processing, 2005..

[44]  Thomas Brox,et al.  Nonlinear structure tensors , 2006, Image Vis. Comput..

[45]  M. Rousson,et al.  Γ-Convergence Approximation to Piecewise Smooth Medical Image Segmentation , 2007 .

[46]  Johan Wiklund,et al.  Multidimensional Orientation Estimation with Applications to Texture Analysis and Optical Flow , 1991, IEEE Trans. Pattern Anal. Mach. Intell..

[47]  A. Lynn Abbott,et al.  Active contours on statistical manifolds and texture segmentation , 2005, IEEE International Conference on Image Processing 2005.