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Shape Description by Bending Invariant Moments

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Computer Analysis of Images and Patterns (CAIP 2011)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 6854))

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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.

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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)

    Article  Google 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)

    Article  Google Scholar 

  4. Boyce, R.B., Clark, W.A.V.: The concept of shape in geography. Geographical Review 54, 561–572 (1964)

    Article  Google 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)

    Article  Google 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)

    Article  Google 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)

    Article  Google Scholar 

  8. Flusser, J., Suk, T.: Pattern recognition by affine moment invariants. Pattern Recognition 26, 167–174 (1993)

    Article  MathSciNet  Google Scholar 

  9. Flusser, J., Zitova, B., Suk, T.: Moments and Moment Invariants in Pattern Recognition. Wiley Publishing, Chichester (2009)

    Book  MATH  Google Scholar 

  10. Gal, R., Shamir, A., Cohen-Or, D.: Pose-oblivious shape signature. IEEE Trans. Vis. Comput. Graph. 13(2), 261–271 (2007)

    Article  Google 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)

    Article  Google Scholar 

  13. Hu, M.: Visual pattern recognition by moment invariants. IRE Trans. Inf. Theory 8(2), 179–187 (1962)

    Article  MATH  Google Scholar 

  14. Kindratenko, V.V.: On using functions to describe the shape. J. Math. Imaging Vis. 18(3), 225–245 (2003)

    Article  MathSciNet  MATH  Google 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)

    Article  Google 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)

    Book  MATH  Google 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)

    Chapter  Google 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)

    Article  Google Scholar 

  23. Zhang, D., Lu, G.: Review of shape representation and description techniques. Pattern Recognition 37(1), 1–19 (2004)

    Article  Google Scholar 

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Author information

Authors and Affiliations

  1. School of Computer Science & Informatics, Cardiff University, Cardiff, UK

    Paul L. Rosin

Authors
  1. Paul L. Rosin
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Editor information

Editors and Affiliations

  1. Dpto. Matematica Aplicada I, Escuaela Técnica Superior de Ingeniería Informática, Universite de Sevilla, Avda. Reina Mercedes, s/n, 41012, Sevilla, Spain

    Pedro Real

  2. Departamento de Matemática Aplicada I, Escuela Técnica Superior de Ingeniería Informática, University of Seville, Avenida Reina Mercedes s/n, 41012, Sevilla, Spain

    Daniel Diaz-Pernil  & Helena Molina-Abril  & 

  3. Departamento de Didáctica de la Mathemática y de las CC.Experimentales, Universidad del País Vasco-Esukal Herriko Unibertsitatea, Escuela Universitaria de Magisterio, Ramón y Cajal, 72, 48014, Bilbao (Bizcaia), Spain

    Ainhoa Berciano

  4. Institute of Computer Graphics and Algorithms, Pattern Recognition and Image Processing Group, Vienna University of Technology, Favoritenstraße 9/186-3, 1040, Vienna, Austria

    Walter Kropatsch

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© 2011 Springer-Verlag Berlin Heidelberg

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Rosin, P.L. (2011). Shape Description by Bending Invariant Moments. In: Real, P., Diaz-Pernil, D., Molina-Abril, H., Berciano, A., Kropatsch, W. (eds) Computer Analysis of Images and Patterns. CAIP 2011. Lecture Notes in Computer Science, vol 6854. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23672-3_31

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  • DOI: https://doi.org/10.1007/978-3-642-23672-3_31

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-23671-6

  • Online ISBN: 978-3-642-23672-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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