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Affine-Invariant Geometric Shape Priors for Region-Based Active Contours
August 2006 (vol. 28 no. 8)
pp. 1352-1357
We present a new way of constraining the evolution of a region-based active contour with respect to a reference shape. Minimizing a shape prior, defined as a distance between shape descriptors based on the Legendre moments of the characteristic function, leads to a geometric flow that can be used with benefits in a two-class segmentation application. The shape model includes intrinsic invariance with regard to pose and affine deformations.

[1] M. Leventon, W. Grimson, and O. Faugeras, “Statistical Shape Influence in Geodesic Active Contours,” Proc. IEEE Conf. Computer Vision and Pattern Recognition, pp. 1316-1323, June 2000.
[2] D. Cremers, F. Tischhäuser, J. Weickert, and C. Schnörr, “Diffusion Snakes: Introducing Statistical Shape Knowledge into the Mumford-Shah Functional,” Int'l J. Computer Vision, vol. 50, no. 3, pp. 295-313, Dec. 2002.
[3] M. Rousson and N. Paragios, “Shape Priors for Level Set Representations,” Proc. Seventh European Conf. Computer Vision, pp. 78-93, May 2002.
[4] A. Tsai, A. Yezzi, W. Wells, C. Tempany, D. Tucker, A. Fan, W. Grimson, and A. Willsky, “A Shape-Based Approach to the Segmentation of Medical Imagery Using Level Sets,” IEEE Trans. Medical Imaging, vol. 22, no. 2, pp. 137-154, Feb. 2003.
[5] T. Riklin-Raviv, N. Kiryati, and N. Sochen, “Unlevel-Sets: Geometry and Prior-Based Segmentation,” Proc. Eighth European Conf. Computer Vision, pp. 50-61, May 2004.
[6] D. Cremers, S. Osher, and S. Soatto, “Kernel Density Estimation and Intrinsic Alignment for Knowledge-Driven Segmentation: Teaching Level Sets to Walk,” Proc. 26th Pattern Recognition Symp., pp. 36-44, 2004.
[7] A. Foulonneau, P. Charbonnier, and F. Heitz, “Geometric Shape Priors for Region-Based Active Contours,” Proc. IEEE Conf. Image Processing, vol. 3, pp. 413-416, Sept. 2003.
[8] G. Aubert, M. Barlaud, O. Faugeras, and S. Jehan-Besson, “Image Segmentation Using Active Contours: Calculus of Variations or Shape Gradients?” SIAM J. Applied Math., vol. 63, no. 6, pp. 2128-2154, Sept. 2003.
[9] T. McInerney and D. Terzopoulos, “Topologically Adaptable Snakes,” Proc. Fifth IEEE Int'l Conf. Computer Vision, pp. 840-845, June 1995.
[10] M. Teague, “Image Analysis via the General Theory of Moments,” J. Optical Soc. Am., vol. 70, no. 8, pp. 920-930, Aug. 1980.
[11] S. Pei and C. Lin, “Image Normalization for Pattern Recognition,” Image and Vision Computing, vol. 13, no. 10, pp. 711-723, Dec. 1995.
[12] J. Flusser and T. Suk, “Pattern Recognition by Affine Moment Invariants,” Pattern Recognition, vol. 26, no. 1, pp. 167-174, 1993.
[13] A. Foulonneau, P. Charbonnier, and F. Heitz, “Affine-Invariant Geometric Shape Priors for Region-Based Active Contours,” Technical Report RR-AF01-2005, LRPC ERA 27/LSIIT UMR 7005, Jan. 2005, http://picabia.u-strasbg.fr/lsiit/persoCharbonnier.htm .
[14] F. Precioso and M. Barlaud, “B-Spline Active Contour with Handling of Topology Changes for Fast Video Segmentation,” EURASIP J. Applied Signal Processing, special issue on image analysis for multimedia interactive services— part II, vol. 2002, no. 6, pp. 555-560, June 2002.
[15] S. Osher and J. Sethian, “Fronts Propagating with Curvature-Dependent Speed: Algorithms Based on Hamilton-Jacobi Formulations,” J. Computational Physics, vol. 79, no. 1, pp. 12-49, Nov. 1988.
[16] T. Chan and L. Vese, “Active Contours without Edges,” IEEE Trans. Image Processing, vol. 10, no. 2, pp. 266-277, Feb. 2001.
[17] U. Grenander, Y. Chow, and D.M. Keenan, Hands: A Pattern Theoretic Study of Biological Shapes. New York: Springer-Verlag, 1991.
[18] D. Cremers, T. Kohlberger, and C. Schnörr, “Shape Statistics in Kernel Space for Variational Image Segmentation,” Pattern Recognition, special issue on kernel and subspace methods in computer vision, vol. 36, no. 9, pp. 1929-1943, Sept. 2003.

Index Terms:
Segmentation, active contours, region-based approach, Legendre moments, shape constraint, shape derivative, affine invariance.
Citation:
Alban Foulonneau, Pierre Charbonnier, Fabrice Heitz, "Affine-Invariant Geometric Shape Priors for Region-Based Active Contours," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 28, no. 8, pp. 1352-1357, Aug. 2006, doi:10.1109/TPAMI.2006.154
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