Detecting Symmetry and Symmetric Constellations of Features
Conference paper
Abstract
A novel and efficient method is presented for grouping feature points on the basis of their underlying symmetry and characterising the symmetries present in an image. We show how symmetric pairs of features can be efficiently detected, how the symmetry bonding each pair is extracted and evaluated, and how these can be grouped into symmetric constellations that specify the dominant symmetries present in the image. Symmetries over all orientations and radii are considered simultaneously, and the method is able to detect local or global symmetries, locate symmetric figures in complex backgrounds, detect bilateral or rotational symmetry, and detect multiple incidences of symmetry.
Keywords
Feature Point Rotational Symmetry Bilateral Symmetry Symmetric Pair Sift Descriptor
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Download
to read the full conference paper text
References
- 1.Carlsson, S.: Symmetry in perspective. In: Burkhardt, H.-J., Neumann, B. (eds.) ECCV 1998. LNCS, vol. 1406, pp. 249–263. Springer, Heidelberg (1998)Google Scholar
- 2.Dakin, S.C., Herbert, A.M.: The spatial region of integration for visual symmetry detection. Proc. of the Royal Society London B. Bio. Sci. 265, 659–664 (1998)CrossRefGoogle Scholar
- 3.Davis, L.S.: Understanding shape, ii: Symmetry. SMC 7, 204–212 (1977)Google Scholar
- 4.Ferrari, V., Tuytelaars, T., Van Gool, L.: Simultaneous object recognition and segmentation from single or multiple model views. Int. J. of Comp. Vis. (2005)Google Scholar
- 5.Hartley, R.I., Zisserman, A.: Multiple View Geometry in Computer Vision, 2nd edn. Cambridge University Press, Cambridge (2004); ISBN: 0521540518Google Scholar
- 6.Hong, W., Yang, A.Y., Huang, K., Ma, Y.: On symmetry and multiple-view geometry: Structure, pose, and calibration from a single image. Int. J. of Comp. Vis. (2004)Google Scholar
- 7.Jurie, F., Schmid, C.: Scale-invariant shape features for recognition of object categories. In: CVPR (2004)Google Scholar
- 8.Kaufman, L., Richards, W.: Spontaneous fixation tendencies of visual forms. Perception and Psychophysics 5(2), 85–88 (1969)CrossRefGoogle Scholar
- 9.Ke, Y., Sukthankar, R.: Pca-sift: A more distinctive representation for local image descriptors. In: CVPR, vol. (2), pp. 506–513 (2004)Google Scholar
- 10.Keller, Y., Shkolnisky, Y.: An algebraic approach to symmetry detection. In: ICPR, vol. (3), pp. 186–189 (2004)Google Scholar
- 11.Kiryati, N., Gofman, Y.: Detecting symmetry in grey level images: The global optimization approach. Int. J. of Comp. Vis. 29(1), 29–45 (1998)CrossRefGoogle Scholar
- 12.Kuehnle, A.: Symmetry-based recognition of vehicle rears. Pattern Recognition Letters 12(4), 249–258 (1991)CrossRefGoogle Scholar
- 13.Lazebnik, S., Schmid, C., Ponce, J.: Semi-local affine parts for object recognition. In: BMVC (2004)Google Scholar
- 14.Liu, J., Mundy, J., Zisserman, A.: Grouping and structure recovery for images of objects with finite rotational symmetry. In: ACCV, vol. I, pp. 379–382 (1995)Google Scholar
- 15.Locher, P., Nodine, C.: Symmetry catches the eye. In: O’Regan, J., Lévy-Schoen, A. (eds.) Eye Movements: from physiology to cognition, Elsevier, Amsterdam (1987)Google Scholar
- 16.Lowe, D.G.: Distinctive image features from scale-invariant keypoints. Int. J. of Comp. Vis. 60(2), 91–110 (2004)CrossRefGoogle Scholar
- 17.Loy, G., Zelinsky, A.: Fast radial symmetry for detecting points of interest. IEEE Trans Pat. Rec. & Mach. Int. 25(8), 959–973 (2003)CrossRefzbMATHGoogle Scholar
- 18.Mancas, M., Gosselin, B., Macq, B.: Fast and automatic tumoral area localisation using symmetry. In: Proc. of the IEEE ICASSP Conference (2005)Google Scholar
- 19.Marola, G.: On the detection of the axes of symmetry of symmetric and almost symmetric planar images. IEEE Trans Pat. Rec. & Mach. Int. 11(1), 104–108 (1989)CrossRefzbMATHGoogle Scholar
- 20.Masuda, T., Yamamoto, K., Yamada, H.: Detection of partial symmetry using correlation with rotated-reflected images. Pattern Recognition 26(8), 1245–1253 (1993)CrossRefGoogle Scholar
- 21.Mikolajczyk, K., Schmid, C.: A performance evaluation of local descriptors. IEEE Trans. Pat. Rec. & Mach. Int., 1615–1630 (October 2005)Google Scholar
- 22.Mikolajczyk, K., Tuytelaars, T., Schmid, C., Zisserman, A., Matas, J., Schaffalitzky, F., Kadir, T., Van Gool, L.: A comparison of affine region detectors. Int. J. of Comp. Vis (2006)Google Scholar
- 23.Mitra, S., Liu, Y.: Local facial asymmetry for expression classification. In: CVPR (2004)Google Scholar
- 24.Reisfeld, D., Wolfson, H., Yeshurun, Y.: Context free attentional operators: the generalized symmetry transform. Int. J. of Comp. Vis. 14(2), 119–130 (1995)CrossRefGoogle Scholar
- 25.Scognamillo, R., Rhodes, G., Morrone, C., Burr, D.: A feature-based model of symmetry detection. Proc. R Soc. Lond. B Biol. Sci. 270, 1727–1733 (2003)CrossRefGoogle Scholar
- 26.Scott, G., Longuet-Higgins, H.C.: Feature grouping by “relocalisation” of eigenvectors of the proximity matrix. In: BMVC, pp. 103–108 (1990)Google Scholar
- 27.Sela, G., Levine, M.D.: Real-time attention for robotic vision. Real-Time Imaging 3, 173–194 (1997)CrossRefGoogle Scholar
- 28.Sharvit, D., Chan, J., Tek, H., Kimia, B.B.: Symmetry-based indexing of image databases. In: Proc. IEEE Workshop on Content-Based Access of Image and Video Libraries (1998)Google Scholar
- 29.Shen, D., Ip, H.H.S., Teoh, E.K.: Robust detection of skewed symmetries. In: ICPR, vol. 3, pp. 1010–1013 (2000)Google Scholar
- 30.Shen, D.G., Ip, H.H.S., Teoh, E.K.: Affine invariant detection of perceptually parallel 3d planar curves. Pattern Recognition 33(11), 1909–1918 (2000)CrossRefGoogle Scholar
- 31.Sun, C., Si, D.: Fast reflectional symmetry detection using orientation histograms. Journal of Real Time Imaging 5(1), 63–74 (1999)CrossRefGoogle Scholar
- 32.Tuytelaars, T., Turina, A., Van Gool, L.J.: Noncombinatorial detection of regular repetitions under perspective skew. IEEE Trans Pat. Rec. & Mach. Int. 25(4), 418–432 (2003)CrossRefGoogle Scholar
- 33.Tyler, C.W., Hardage, L., Miller, R.T.: Multiple mechanisms for the detection of mirror symmetry. Spatial Vision 9(1), 79–100 (1995)CrossRefGoogle Scholar
- 34.Yang, A.Y., Rao, S., Huang, K., Hong, W., Ma, Y.: Geometric segmentation of perspective images based on symmetry groups. In: ICCV, pp. 1251–1258 (2003)Google Scholar
- 35.Yip, R.K.K.: A hough transform technique for the detection of reflectional symmetry and skew-symmetry. Pattern Recognition Letters 21(2), 117–130 (2000)CrossRefGoogle Scholar
- 36.Zabrodsky, H., Peleg, S., Avnir, D.: Completion of occluded shapes using symmetry. In: CVPR, pp. 678–679 (1993)Google Scholar
- 37.Zabrodsky, H., Peleg, S., Avnir, D.: Symmetry as a continuous feature. IEEE Trans Pat. Rec. & Mach. Int. 17(12), 1154–1166 (1995)CrossRefGoogle Scholar
- 38.Zielke, T., Brauckmann, M., von Seelen, W.: Intensity and edge-based symmetry detection with an application to car-following. CVGIP: Image Underst 58(2), 177–190 (1993)CrossRefGoogle Scholar
Copyright information
© Springer-Verlag Berlin Heidelberg 2006