Skip to main content

3D Shape Representation Using Gaussian Curvature Co-occurrence Matrix

  • Conference paper
Artificial Intelligence and Computational Intelligence (AICI 2010)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 6319))

Abstract

Co-occurrence matrix is traditionally used for the representation of texture information. In this paper, the co-occurrence matrix is combined with Gaussian curvature for 3D shape representation and a novel 3D shape description approach named Gaussian curvature co-occurrence matrix is proposed. Normalization process to Gaussian curvature co-occurrence matrix and the invariants independence of the translation, scaling and rotation transforms are demonstrated. Experiments indicate a better classification rate and running complexity to objects with slight different shape characteristic compared with traditional methods.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Huber, D., Kapuria, A., Donamukkala, R., Hebert, M.: Parts-based 3d object classification. In: Proceedings of IEEE Computer Society Conference on Computer Vision and Pattern Recognition, vol. 2, pp. 82–89 (2004)

    Google Scholar 

  2. Fergus, R., Perona, P., Zisserman, A.: Object class recognition by unsupervised scale-invariant learning. In: Proceedings of IEEE Computer Society Conference on Computer Vision and Pattern Recognition, vol. 2, pp. 264–271 (2004)

    Google Scholar 

  3. Wyngaerd, J., Gool, L., Koch, R., Proesmans, M.: Rotation invariant spherical harmonic representation of 3d shape descriptors. In: Proceedings of Symposium on Geometry Processing, Aachen, Germany, pp. 156–164 (2003)

    Google Scholar 

  4. Miao, Z., Gandelin, M., Baozong, Y.: Fourier transform based image shape analysis and its application to flower recognition. In: IEEE 6th International Conference on Signal Processing, Ottawa, Canada, vol. 2, pp. 1087–1090 (2002)

    Google Scholar 

  5. Novotni, M., Klein, R.: Shape retrieval using 3D Zernike descriptors. Computer-Aided Design 36(11), 1047–1062 (2004)

    Article  Google Scholar 

  6. Laskov, P., Kambhamettu, C.: Curvature-based algorithms for nonrigid motion and correspondence estimation. IEEE Transactions on Pattern Analysis and Machine Intelligence 25(10), 1349–1354 (2003)

    Article  Google Scholar 

  7. Osada, R., Funkhouser, T., Chazelle, B., Dobkin, D.: Shape distributions. ACM Transactions on Graphics 21(4), 807–832 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  8. Zhang, D., Hebert, M.: Harmonic maps and their applications in surface matching. In: Proceedings of IEEE Conference on Computer Vision and Pattern Recognition, Fort Collins, Colorado, USA, pp. 2524–2530 (1999)

    Google Scholar 

  9. Gupta, L., Sayeh, M.R., Tammana, R.: Neural network approach to robust shape classification. Pattern Recognition 23(6), 563–568 (1990)

    Article  Google Scholar 

  10. Dubrovin, B., Fomenko, A., Novikov, S.: Modern geometry-methods and applications (I), 2nd edn. GTM, Springer, Heidelberg (1999)

    Google Scholar 

  11. Haralick, R., Shanmugam, K., Dinstein, I.: Textural features for image classification. IEEE Transactions on Systems, Man and Cybernetics 3(9), 610–621 (1973)

    Article  Google Scholar 

  12. Guo, K., Liu, C., Yang, J.: 3D Objects Recognition Using Curvature Co-occurrence Matrix. Computer Science 35(7), 151–152 (2008) (in Chinese)

    Google Scholar 

  13. Besl, P.J.: Surfaces in range image understanding. Springer, New York (1988)

    Book  MATH  Google Scholar 

  14. Besl, P.J., Jain, R.C.: Segmentation through variable-order surface fitting. IEEE Transactions on Pattern Analysis and Machine Intelligence 10(2), 167–192 (1988)

    Article  Google Scholar 

  15. Argenti, F., Alparone, L., Benelli, G.: Fast algorithms for texture analysis using co-occurrence matrices. IEEE Proceedings, Part F: Radar and Signal Processing 137(6), 443–448 (1990)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2010 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Guo, K. (2010). 3D Shape Representation Using Gaussian Curvature Co-occurrence Matrix. In: Wang, F.L., Deng, H., Gao, Y., Lei, J. (eds) Artificial Intelligence and Computational Intelligence. AICI 2010. Lecture Notes in Computer Science(), vol 6319. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-16530-6_44

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-16530-6_44

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-16529-0

  • Online ISBN: 978-3-642-16530-6

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics