A hybrid active contour model with structured feature for image segmentation

We propose a structural feature region-based active contour model based on the level set method for image segmentation. Firstly, an anisotropic data fitting term is proposed to adaptively detect the intensity both in terms of local direction and global region. Secondly, coupling with the duality theory and a structured gradient vector flow (SGVF) method, a new regularization term of the level set function is formulated to penalize the length of active contour. By this new regularization term, the structured information of images is utilized to improve the ability of preserving the elongated structures. The energy function of the proposed model is minimized by an efficient dual algorithm, avoiding the instability and the non-differentiability of traditional numerical solutions. We compare the proposed method to classical region-based active contour models and highlight its advantages through experiments on synthetic and medical images. A new regularization term is improved by a structured gradient vector flow method for extracting the elongated structures.The structured gradient vector flow method is improved by the structure tensor of intensity and dual variable.A new region is proposed to detect global and local intensity adaptively for efficiency of the curve evolution.

[1]  E. Giusti Minimal surfaces and functions of bounded variation , 1977 .

[2]  Jianfei Cai,et al.  Robust Interactive Image Segmentation Using Convex Active Contours , 2012, IEEE Transactions on Image Processing.

[3]  J. Weickert Scale-Space Properties of Nonlinear Diffusion Filtering with a Diffusion Tensor , 1994 .

[4]  W. F. Chen,et al.  Hessian based image structure adaptive gradient vector flow for parametric active contours , 2010, 2010 IEEE International Conference on Image Processing.

[5]  Laurent D. Cohen,et al.  On active contour models and balloons , 1991, CVGIP Image Underst..

[6]  Mila Nikolova,et al.  Algorithms for Finding Global Minimizers of Image Segmentation and Denoising Models , 2006, SIAM J. Appl. Math..

[7]  Jerry L. Prince,et al.  Generalized gradient vector flow external forces for active contours , 1998, Signal Process..

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

[9]  Xuelong Li,et al.  Global structure constrained local shape prior estimation for medical image segmentation , 2013, Comput. Vis. Image Underst..

[10]  Laurent D. Cohen,et al.  Nonlocal Active Contours , 2012, SIAM J. Imaging Sci..

[11]  Yves Meyer,et al.  Oscillating Patterns in Image Processing and Nonlinear Evolution Equations: The Fifteenth Dean Jacqueline B. Lewis Memorial Lectures , 2001 .

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

[13]  Jerry L. Prince,et al.  Snakes, shapes, and gradient vector flow , 1998, IEEE Trans. Image Process..

[14]  Chunming Li,et al.  Active contours driven by local Gaussian distribution fitting energy , 2009, Signal Process..

[15]  Hayden Schaeffer,et al.  Active Contours with Free Endpoints , 2013, Journal of Mathematical Imaging and Vision.

[16]  Xavier Bresson,et al.  Local Histogram Based Segmentation Using the Wasserstein Distance , 2009, International Journal of Computer Vision.

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

[18]  Laurent D. Cohen,et al.  Non-local active contours , 2012 .

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

[20]  Xuelong Li,et al.  A Unified Tensor Level Set for Image Segmentation , 2010, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[21]  Chunming Li,et al.  Minimization of Region-Scalable Fitting Energy for Image Segmentation , 2008, IEEE Transactions on Image Processing.

[22]  Tony Lindeberg,et al.  Scale-Space Theory in Computer Vision , 1993, Lecture Notes in Computer Science.

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

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

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

[26]  R. Leahy,et al.  Magnetic Resonance Image Tissue Classification Using a Partial Volume Model , 2001, NeuroImage.

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