CAIP 2011: Computer Analysis of Images and Patterns pp 253-260 | Cite as
Shape Description by Bending Invariant Moments
Conference paper
Abstract
A simple scheme is presented for modifying geometric moments to use geodesic distances. This provides a set of global shape descriptors that are invariant to bending as well as rotation, translation and scale.
Keywords
moments transformation invariance bending articulationPreview
Unable to display preview. Download preview PDF.
References
- 1.Arnheim, R.: Art and Visual Perception: A Psychology of the Creative Eye. University of California Press, Berkeley (1974)Google Scholar
- 2.Belongie, S., Malik, J., Puzicha, J.: Shape matching and object recognition using shape contexts. IEEE Trans. on Patt. Anal. and Mach. Intell. 24(4), 509–522 (2002)CrossRefGoogle Scholar
- 3.Bookstein, F.L.: Shape and the information in medical images: A decade of the morphometric synthesis. Computer Vision and Image Understanding 66(2), 97–118 (1997)CrossRefGoogle Scholar
- 4.Boyce, R.B., Clark, W.A.V.: The concept of shape in geography. Geographical Review 54, 561–572 (1964)CrossRefGoogle Scholar
- 5.Bronstein, A.M., Bronstein, M.M., Bruckstein, A.M., Kimmel, R.: Analysis of two-dimensional non-rigid shapes. Int. J. of Computer Vision 78(1), 67–88 (2008)CrossRefGoogle Scholar
- 6.Cárdenes, R., Alberola-López, C., Ruiz-Alzola, J.: Fast and accurate geodesic distance transform by ordered propagation. Image Vision Comput. 28(3), 307–316 (2010)CrossRefGoogle Scholar
- 7.Elad, A., Kimmel, R.: On bending invariant signatures for surfaces. IEEE Trans. on Patt. Anal. and Mach. Intell. 25(10), 1285–1295 (2003)CrossRefGoogle Scholar
- 8.Flusser, J., Suk, T.: Pattern recognition by affine moment invariants. Pattern Recognition 26, 167–174 (1993)MathSciNetCrossRefGoogle Scholar
- 9.Flusser, J., Zitova, B., Suk, T.: Moments and Moment Invariants in Pattern Recognition. Wiley Publishing, Chichester (2009)CrossRefMATHGoogle Scholar
- 10.Gal, R., Shamir, A., Cohen-Or, D.: Pose-oblivious shape signature. IEEE Trans. Vis. Comput. Graph. 13(2), 261–271 (2007)CrossRefGoogle Scholar
- 11.Gopalan, R., Turaga, P.K., Chellappa, R.: Articulation-invariant representation of non-planar shapes. In: Europ. Conf. Computer Vision, vol. 3, pp. 286–299 (2010)Google Scholar
- 12.Gorelick, L., Galun, M., Sharon, E., Basri, R., Brandt, A.: Shape representation and classification using the poisson equation. IEEE Trans. on Patt. Anal. and Mach. Intell. 28(12), 1991–2005 (2006)CrossRefGoogle Scholar
- 13.Hu, M.: Visual pattern recognition by moment invariants. IRE Trans. Inf. Theory 8(2), 179–187 (1962)CrossRefMATHGoogle Scholar
- 14.Kindratenko, V.V.: On using functions to describe the shape. J. Math. Imaging Vis. 18(3), 225–245 (2003)MathSciNetCrossRefMATHGoogle Scholar
- 15.Ling, H., Jacobs, D.W.: Shape classification using the inner-distance. IEEE Trans. on Patt. Anal. and Mach. Intell. 29(2), 286–299 (2007)CrossRefGoogle Scholar
- 16.Ling, H., Yang, X., Latecki, L.J.: Balancing deformability and discriminability for shape matching. In: Europ. Conf. Computer Vision, vol. 3, pp. 411–424 (2010)Google Scholar
- 17.Mukundan, R., Ramakrishnan, K.R.: Moment Functions in Image Analysis – Theory and Applications. World Scientific, Singapore (1998)CrossRefMATHGoogle Scholar
- 18.Prokop, R.J., Reeves, A.P.: A survey of moment-based techniques for unoccluded object representation and recognition. CVGIP: Graphical Models and Image Processing 54(5), 438–460 (1992)Google Scholar
- 19.Rabin, J., Peyré, G., Cohen, L.D.: Geodesic shape retrieval via optimal mass transport. In: Europ. Conf. Computer Vision, vol. 5, pp. 771–784 (2010)Google Scholar
- 20.Rosin, P.L.: Computing global shape measures. In: Chen, C.H., Wang, P.S.-P. (eds.) Handbook of Pattern Recognition and Computer Vision, 3rd edn., pp. 177–196. World Scientific, Singapore (2005)CrossRefGoogle Scholar
- 21.Sonka, M., Hlavac, V., Boyle, R.: Image Processing, Analysis, and Machine Vision. Thomson-Engineering (2007)Google Scholar
- 22.Taylor, M.A.: Quantitative measures for shape and size of particles. Powder Technology 124(1-2), 94–100 (2002)CrossRefGoogle Scholar
- 23.Zhang, D., Lu, G.: Review of shape representation and description techniques. Pattern Recognition 37(1), 1–19 (2004)CrossRefGoogle Scholar
Copyright information
© Springer-Verlag Berlin Heidelberg 2011