OPTIMAL SPATIAL ADAPTATION FOR LOCAL REGION-BASED ACTIVE CONTOURS - An Intersection of Confidence Intervals Approach
Qing Yang, Djamal Boukerroui
2011
Abstract
In this paper, we propose within the level set framework a region-based segmentation method using local image statistics. An isotropic spatial kernel is used to define locality. We use the Intersection of Confidence Intervals (ICI) approach to define a pixel dependant local scale for the estimation of image statistics. The obtained scale is based on estimated optimal scales, in the sense of the mean-square error of a Local Polynomials Approximation of the observed image conditional on the current segmentation. In other words, the scale is ‘optimal’ in the sense that it gives the best trade-off between the bias and the variance of the estimates. The proposed approach performs very well, especially on images with intensity inhomogeneities.
References
- Boukerroui, D., Baskurt, A., Noble, A., and Basset, O. (2003). Segmentation of ultrasound imagesmultiresolution 2D and 3D algorithm based on global and local statistics. Pattern Recognit. Lett., 24:779- 790.
- Boukerroui, D., Baskurt, A., Noble, A., and Basset, O. (2003). Segmentation of ultrasound imagesmultiresolution 2D and 3D algorithm based on global and local statistics. Pattern Recognit. Lett., 24:779- 790.
- Boukerroui, D., Basset, O., Baskurt, A., and Noble, A. (1999). Segmentation of echocardiographic data. Multiresolution 2D and 3D algorithm based on gray level statistics. In MICCAI, pages 516-524, Cambridge, England. Springer-Verlag.
- Boukerroui, D., Basset, O., Baskurt, A., and Noble, A. (1999). Segmentation of echocardiographic data. Multiresolution 2D and 3D algorithm based on gray level statistics. In MICCAI, pages 516-524, Cambridge, England. Springer-Verlag.
- Brox, T. and Cremers, D. (2009). On local region models and a statistical interpretation of the piecewise smooth Mumford-Shah functional. Int. J. Comput. Vis., 84(2):184-193.
- Brox, T. and Cremers, D. (2009). On local region models and a statistical interpretation of the piecewise smooth Mumford-Shah functional. Int. J. Comput. Vis., 84(2):184-193.
- Chan, T. F. and Vese, L. A. (2001). Active contours without edges. IEEE Trans. Image Process., 10(2):266-277.
- Chan, T. F. and Vese, L. A. (2001). Active contours without edges. IEEE Trans. Image Process., 10(2):266-277.
- Katkovnik, V., Egiazarian, K., and Astola, J. (2002). Adaptive window size image de-noising based on intersection of confidence intervals (ICI) rule. J. Math. Imag. Vis., 16(3):223-235.
- Katkovnik, V., Egiazarian, K., and Astola, J. (2002). Adaptive window size image de-noising based on intersection of confidence intervals (ICI) rule. J. Math. Imag. Vis., 16(3):223-235.
- Katkovnik, V., Egiazarian, K., and Astola, J. (2006). Local approximation techniques in signal and image processing. The Int. Society for Optical Eng., Washington.
- Katkovnik, V., Egiazarian, K., and Astola, J. (2006). Local approximation techniques in signal and image processing. The Int. Society for Optical Eng., Washington.
- Katkovnik, V., Foi, A., Egiazarian, K., and Astola, J. (2010). From local kernel to nonlocal multiple-model image denoising. Int. J. Comput. Vis., 86:1-32.
- Katkovnik, V., Foi, A., Egiazarian, K., and Astola, J. (2010). From local kernel to nonlocal multiple-model image denoising. Int. J. Comput. Vis., 86:1-32.
- Lankton, S. and Tannenbaum, A. (2008). Localizing regionbased active contours. IEEE Trans. Image Process., 17(11):2029-2039.
- Lankton, S. and Tannenbaum, A. (2008). Localizing regionbased active contours. IEEE Trans. Image Process., 17(11):2029-2039.
- Li, C., Kao, C.-Y., Gore, J. C., and Ding, Z. (2008). Minimization of region-scalable fitting energy for image segmentation. IEEE Trans. Image Process., 17(10):1940-1949.
- Li, C., Kao, C.-Y., Gore, J. C., and Ding, Z. (2008). Minimization of region-scalable fitting energy for image segmentation. IEEE Trans. Image Process., 17(10):1940-1949.
- Mumford, D. and Shan, J. (1989). Optimal approximations by piecewise smooth functions and associated variational problems. Communications on Pure and Applied Mathematics, 42:577-685.
- Mumford, D. and Shan, J. (1989). Optimal approximations by piecewise smooth functions and associated variational problems. Communications on Pure and Applied Mathematics, 42:577-685.
- Osher, S. and Paragois, N. (2003). Geometric level set methods in imaging vision and graphics. Springer Verlag.
- Osher, S. and Paragois, N. (2003). Geometric level set methods in imaging vision and graphics. Springer Verlag.
- Osher, S. and Sethian, J. A. (1988). Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations. J. Comput. Phys., 79(1):12-49.
- Osher, S. and Sethian, J. A. (1988). Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations. J. Comput. Phys., 79(1):12-49.
- Rousson, M., Brox, T., and Deriche, R. (2003). Active unsupervised texture segmentation on a diffusion based feature space. Technical Report 4695, INRIA.
- Rousson, M., Brox, T., and Deriche, R. (2003). Active unsupervised texture segmentation on a diffusion based feature space. Technical Report 4695, INRIA.
- Wang, L., Li, C., Sun, Q., Xia, D., and Kao, C.-Y. (2009). Active contours driven by local and global intensity fitting energy with application to brain MR image segmentation. Comput. Med. Imaging Graph., 33(7):520-531.
- Wang, L., Li, C., Sun, Q., Xia, D., and Kao, C.-Y. (2009). Active contours driven by local and global intensity fitting energy with application to brain MR image segmentation. Comput. Med. Imaging Graph., 33(7):520-531.
- Yezzi, A., Tsai, A., and Willsky, A. (2002). A fully global approach to image segmentation via coupled curve evolution equations. J. Visual Communication Image Representation, 13(1-2):195-216.
- Yezzi, A., Tsai, A., and Willsky, A. (2002). A fully global approach to image segmentation via coupled curve evolution equations. J. Visual Communication Image Representation, 13(1-2):195-216.
Paper Citation
in Harvard Style
Yang Q. and Boukerroui D. (2011). OPTIMAL SPATIAL ADAPTATION FOR LOCAL REGION-BASED ACTIVE CONTOURS - An Intersection of Confidence Intervals Approach . In Proceedings of the International Conference on Imaging Theory and Applications and International Conference on Information Visualization Theory and Applications - Volume 1: IMAGAPP, (VISIGRAPP 2011) ISBN 978-989-8425-46-1, pages 87-93. DOI: 10.5220/0003379100870093
in Harvard Style
Yang Q. and Boukerroui D. (2011). OPTIMAL SPATIAL ADAPTATION FOR LOCAL REGION-BASED ACTIVE CONTOURS - An Intersection of Confidence Intervals Approach . In Proceedings of the International Conference on Imaging Theory and Applications and International Conference on Information Visualization Theory and Applications - Volume 1: IMAGAPP, (VISIGRAPP 2011) ISBN 978-989-8425-46-1, pages 87-93. DOI: 10.5220/0003379100870093
in Bibtex Style
@conference{imagapp11,
author={Qing Yang and Djamal Boukerroui},
title={OPTIMAL SPATIAL ADAPTATION FOR LOCAL REGION-BASED ACTIVE CONTOURS - An Intersection of Confidence Intervals Approach},
booktitle={Proceedings of the International Conference on Imaging Theory and Applications and International Conference on Information Visualization Theory and Applications - Volume 1: IMAGAPP, (VISIGRAPP 2011)},
year={2011},
pages={87-93},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0003379100870093},
isbn={978-989-8425-46-1},
}
in Bibtex Style
@conference{imagapp11,
author={Qing Yang and Djamal Boukerroui},
title={OPTIMAL SPATIAL ADAPTATION FOR LOCAL REGION-BASED ACTIVE CONTOURS - An Intersection of Confidence Intervals Approach},
booktitle={Proceedings of the International Conference on Imaging Theory and Applications and International Conference on Information Visualization Theory and Applications - Volume 1: IMAGAPP, (VISIGRAPP 2011)},
year={2011},
pages={87-93},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0003379100870093},
isbn={978-989-8425-46-1},
}
in EndNote Style
TY - CONF
JO - Proceedings of the International Conference on Imaging Theory and Applications and International Conference on Information Visualization Theory and Applications - Volume 1: IMAGAPP, (VISIGRAPP 2011)
TI - OPTIMAL SPATIAL ADAPTATION FOR LOCAL REGION-BASED ACTIVE CONTOURS - An Intersection of Confidence Intervals Approach
SN - 978-989-8425-46-1
AU - Yang Q.
AU - Boukerroui D.
PY - 2011
SP - 87
EP - 93
DO - 10.5220/0003379100870093
in EndNote Style
TY - CONF
JO - Proceedings of the International Conference on Imaging Theory and Applications and International Conference on Information Visualization Theory and Applications - Volume 1: IMAGAPP, (VISIGRAPP 2011)
TI - OPTIMAL SPATIAL ADAPTATION FOR LOCAL REGION-BASED ACTIVE CONTOURS - An Intersection of Confidence Intervals Approach
SN - 978-989-8425-46-1
AU - Yang Q.
AU - Boukerroui D.
PY - 2011
SP - 87
EP - 93
DO - 10.5220/0003379100870093