Fast Unsupervised Texture Segmentation Using Active Contours Model Driven by Bhattacharyya Gradient Flow

We present a new unsupervised segmentation based active contours model and texture descriptor. The proposed texture descriptor intrinsically describes the geometry of textural regions using the shape operator defined in Beltrami framework. We use Bhattacharyya distance to discriminate textures by maximizing distance between the probability density functions which leads to distinguish textural objects of interest and background. We propose a fast Bregman split implementation of our segmentation algorithm based on the dual formulation of the Total Variation norm. Finally, we show results on some challenging images to illustrate segmentations that are possible.

[1]  Karsten Berns,et al.  Probabilistic distance measures of the Dirichlet and Beta distributions , 2008, Pattern Recognit..

[2]  Tony F. Chan,et al.  Active Contours without Edges for Vector-Valued Images , 2000, J. Vis. Commun. Image Represent..

[3]  Xavier Bresson,et al.  Fast Global Minimization of the Active Contour/Snake Model , 2007, Journal of Mathematical Imaging and Vision.

[4]  Mohamed-Jalal Fadili,et al.  Region-based active contours and sparse representations for texture segmentation , 2008, 2008 19th International Conference on Pattern Recognition.

[5]  Tao Zhang,et al.  Active contours for tracking distributions , 2004, IEEE Transactions on Image Processing.

[6]  Yogesh Rathi,et al.  Image Segmentation Using Active Contours Driven by the Bhattacharyya Gradient Flow , 2007, IEEE Transactions on Image Processing.

[7]  Jitendra Malik,et al.  Learning to detect natural image boundaries using local brightness, color, and texture cues , 2004, IEEE Transactions on Pattern Analysis and Machine Intelligence.

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

[9]  Michel Barlaud,et al.  Segmentation of Vectorial Image Features Using Shape Gradients and Information Measures , 2006, Journal of Mathematical Imaging and Vision.

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

[11]  Tony F. Chan,et al.  Structure-Texture Image Decomposition—Modeling, Algorithms, and Parameter Selection , 2006, International Journal of Computer Vision.

[12]  Xavier Bresson,et al.  Geometric Applications of the Split Bregman Method: Segmentation and Surface Reconstruction , 2010, J. Sci. Comput..

[13]  M. Delfour,et al.  Shapes and Geometries: Analysis, Differential Calculus, and Optimization , 1987 .

[14]  Wotao Yin,et al.  Bregman Iterative Algorithms for (cid:2) 1 -Minimization with Applications to Compressed Sensing ∗ , 2008 .

[15]  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..

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

[17]  Michalis A. Savelonas,et al.  LBP-guided active contours , 2008, Pattern Recognit. Lett..

[18]  Yupin Luo,et al.  Unsupervised Texture Segmentation via Applying Geodesic Active Regions to Gaborian Feature Space , 2007 .

[19]  Yehoshua Y. Zeevi,et al.  Integrated active contours for texture segmentation , 2006, IEEE Transactions on Image Processing.

[20]  Ron Kimmel,et al.  A general framework for low level vision , 1998, IEEE Trans. Image Process..