Abstract
Gabor Analysis is frequently used for texture analysis and segmentation. Once the Gaborian feature space is generated it may be interpreted in various ways for image analysis and segmentation. Image segmentation can also be obtained via the application of “snakes” or active contour mechanism, which is usually used for gray-level images. In this study we apply the active contour method to the Gaborian feature space of images and obtain a method for texture segmentation. We cal- culate six localized features based on the Gabor transform of the image. These are the mean and variance of the localized frequency,orientation and intensity. This feature space is presented, via the Beltrami frame- work, as a Riemannian manifold. The stopping term, in the geodesic snakes mechanism, is derived from the metric of the features manifold. Experimental results obtained by application of the scheme to test images are presented.
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References
A.C. Bovik and M. Clark and W.S. Geisler “Multichannel Texture Analysis Using Localized Spatial Filters”, IEEE Transactions on PAMI, 12(1), 1990, 55–73.
P. Brodatz, Textures: A photographic album for Artists and Designers, New York, NY, Dover, 1996.
V. Caselles and R. Kimmel and G. Sapiro, “Geodesic Active Contours”, International Journal of Conputer Vision, 22(1), 1997, 61–97.
J.G. Daugman, “Uncertainty relation for resolution in space, spatial frequency, and orientation optimized by two-dimensinal visual cortical filters”, J. Opt. Soc. Amer. 2(7), 1985, 1160–1169.
D. Gabor ldTheory of communication” J. IEEE, 93, 1946, 429–459.
M. Kaas, A. Witkin and D. Terzopoulos, “Snakes: Active Contour Models”, International Journal of Computer Vision, 1, 1988, 321–331.
S. Kichenassamy, A. Kumar, P. Olver, A. Tannenbaum and A. Yezzi, “Gradient Flows and Geometric Active Contour Models”,Proceedings ICCV’95, Boston, Massachusetts, 1995, 810–815.
R. Kimmel, R. Malladi and N. Sochen, “Images as Embedded Maps and Minimal Surfaces: Movies, Color, Texture, and Volumetric Medical Images”, International Journal of Computer Vision, 39(2), 2000, 111–129.
T.S. Lee, “Image Representation using 2D Gabor-Wavelets”, IEEE Transactions on PAMI, 18(10), 1996, 959–971.
L.M. Lorigo, O. Faugeras, W.E.L. Grimson, R. Keriven, R. Kikinis, “Segmentation of Bone in Clinical Knee MRI Using Texture-Based Geodesic Active Contours”, Medical Image Computing and Computer-Assisted Intervention, 1998, Cambridge, MA, USA.
B.S. Manjunath and W.Y. Ma, “Texture features browsing and retrieval of image data”, IEEE Transactions on PAMI, 18(8), 1996, 837–842.
S. Marcelja, “Mathematical description of the response of simple cortical cells”, J. Opt. Soc. Amer., 70, 1980, 1297–1300.
N. Paragios and R. Deriche, “Geodesic Active Regions for Supervised Texture Segmentation”, Proceedings of International Conference on Computer Vision, 1999, 22–25.
M. Porat and Y.Y. Zeevi, “The generalized Gabor scheme of image representation in biological and machine vision”, IEEE Transactions on PAMI, 10(4), 1988, 452–468.
M. Porat and Y.Y. Zeevi, “Localized texture processing in vision: Analysis and synthesis in the gaborian space”, IEEE Transactions on Biomedical Engineering, 36(1), 1989, 115–129.
S.J. Osher and J.A. Sethian, “Fronts propagating with curvature dependent speed: Algorithms based on Hamilton-Jacobi formulations”, J of Computational Physics, 79, 1988, 12–49.
G. Sapiro, “Vector Valued Active Contours”, Proc. IEEE Conference on Computer Vision and Pattern Recognition, 680–685, 1996.
Jayant Shah, “Riemannian Drums, Anisotropic Curve Evolution and Segmentation”, Proceedings of Scale-Space 1999., Eds. Nielsen, P. Johansen, O.F. Olsen, J. Weickert, Springer, 129–140.
N. Sochen, R. Kimmel and R. Malladi, “A general framework for low level vision”, IEEE Trans. on Image Processing, 7, (1998) 310–318.
M. Zibulski and Y.Y. Zeevi, “Analysis of multiwindow Gabor-type schemes by frame methods”, Applied and Computational Harmonic Analysis, 4, 1997, 188–221.
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© 2001 Springer-Verlag Berlin Heidelberg
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Sagiv, C., Sochen, N.A., Zeevi, Y.Y. (2001). Geodesic Active Contours Applied to Texture Feature Space. In: Kerckhove, M. (eds) Scale-Space and Morphology in Computer Vision. Scale-Space 2001. Lecture Notes in Computer Science 2106, vol 2106. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-47778-0_32
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DOI: https://doi.org/10.1007/3-540-47778-0_32
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