This Article 
   
 Share 
   
 Bibliographic References 
   
 Add to: 
 
Digg
Furl
Spurl
Blink
Simpy
Google
Del.icio.us
Y!MyWeb
 
 Search 
   
Polarimetric Image Segmentation via Maximum-Likelihood Approximation and Efficient Multiphase Level-Sets
September 2006 (vol. 28 no. 9)
pp. 1493-1500
This study investigates a level set method for complex polarimetric image segmentation. It consists of minimizing a functional containing an original observation term derived from maximum-likelihood approximation and a complex Wishart/Gaussian image representation and a classical boundary length prior. The minimization is carried out efficiently by a new multiphase method which embeds a simple partition constraint directly in curve evolution to guarantee a partition of the image domain from an arbitrary initial partition. Results are shown on both synthetic and real images. Quantitative performance evaluation and comparisons are also given.

[1] C. Samson, L. Blanc-Féraud, G. Aubert, and J. Zerubia, “A Level Set Model for Image Classification,” Int'l J. Computer Vision, vol. 40, no. 3, pp. 187-197, Mar. 2000.
[2] T. Chan and L. Vese, “Active Contours without Edges,” IEEE Trans. Image Processing, vol. 10, no. 2, pp. 266-277, 2001.
[3] L. Vese and T. Chan, “A Multiphase Level Set Framework for Image Segmentation Using the Mumford and Shah Model,” Int'l J. Computer Vision, vol. 50, no. 3, pp. 271-293, 2002.
[4] A. Yezzi, A. Tsai, and A. Willsky, “A Fully Global Approach to Image Segmentation via Coupled Curve Evolution Equations,” J. Visual Comm. and Image Representation, vol. 13, no. 1, pp. 195-216, Mar. 2002.
[5] A.-R. Mansouri, A. Mitiche, and C. Vazquez, “Multiregion Competition: A Level Set Extension of Region Competition to Multiple Region Image Partitioning,” Computer Vision and Image Understanding, vol. 101, no. 3, pp. 137-150, Mar. 2006.
[6] N. Paragios, O. Mellina-Gottardo, and V. Ramesh, “Gradient Vector Flow Fast Geometric Active Contours,” IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 26, no. 3, pp. 402-407, Mar. 2004.
[7] I. Ben Ayed, A. Mitiche, and Z. Belhadj, “Multiregion Level Set Partitioning of Synthetic Aperture Radar Images,” IEEE Trans. Pattern Analysis and Machine Intelligence, vol 27, no. 5, pp. 793-800, May 2005.
[8] D. Mumford and J. Shah, “Optimal Approximation by Piecewise Smooth Functions and Associated Variational Problems,” Comm. Pure Applied Math., vol. 42, pp. 577-685, 1989.
[9] S.C. Zhu and A. Yuille, “Region Competition: Unifying Snakes, Region Growing, and Bayes/MDL for Multiband Image Segmentation,” IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 18, no. 9, pp. 884-900, Sept. 1996.
[10] P. Martin, P. Réfrégier, F. Goudail, and F. Guérault, “Influence of the Noise Model on Level Set Active Contour Segmentation,” IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 26, no. 6, pp 799-803, June 2004.
[11] S.L. Jacques, J.C. Ramella-Roman, and K. Lee, “Imaging Skin Pathology with Polarized Light,” J. Biomedical Optics, vol. 7, pp. 329-340, 2002.
[12] J.M. Beaulieu and R. Touzi, “Segmentation of Textured Polarimetric SAR Scenes by Likelihood Approximation,” IEEE Trans. Geoscience and Remote Sensing, vol. 42, pp. 2063-2072, 2004.
[13] K. Conradsen, A.A. Nielsen, J. Schou, and H. Skriver, “A Test Statistic in the Complex Wishart Distribution and Its Application to Change Detection in Polarimetric SAR Data,” IEEE Trans. Geoscience and Remote Sensing, vol. 41, no. 1, pp. 4-19, 2003.
[14] P.R. Kersten, J.-S. Lee, and T.L. Ainsworth, “Unsupervised Classification of Polarimetric Synthetic Aperture Radar Images Using Fuzzy Clustering and EM Clustering,” IEEE Trans. Geoscience and Remote Sensing, vol. 43, no. 3, pp. 519-527, 2005.
[15] Y. Dong, A.K. Milne, and B.C. Forester, “Segmentation and Classification of Vegetated Areas Using Polarimetric SAR Image Data,” IEEE Trans. Geoscience and Remote Sensing, vol. 39, no. 2, pp. 321-329, 2001.
[16] F. Goudail and P. Réfrégier, “Contrast Definition for Optical Coherent Polarimetric Images,” IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 26, pp. 947-951, 2004.
[17] H.-k. Zhao, T. Chan, B. Merriman, and S. Osher, “A Variational Level Set Approach to Multiphase Motion,” J. Computational Physics, vol. 127, pp. 179-195, Sept. 1996.
[18] R.J. Muirhead, Aspects of Multivariate Statistical Theory. New York: Wiley, 1982.
[19] J.A. Sethian, Level Set Methods and Fast Marching Methods, second ed. Cambridge Univ. Press, 1999.

Index Terms:
Polarimetric images, complex Wishart distribution, complex Gaussian distribution, level set active contour segmentation, maximum-likelihood approximation.
Citation:
Ismail Ben Ayed, Amar Mitiche, Ziad Belhadj, "Polarimetric Image Segmentation via Maximum-Likelihood Approximation and Efficient Multiphase Level-Sets," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 28, no. 9, pp. 1493-1500, Sept. 2006, doi:10.1109/TPAMI.2006.191
Usage of this product signifies your acceptance of the Terms of Use.