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Iberoamerican Congress on Pattern Recognition

CIARP 2005: Progress in Pattern Recognition, Image Analysis and Applications pp 377–391Cite as

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Circulation and Topological Control in Image Segmentation

Circulation and Topological Control in Image Segmentation

  • Luis Gustavo Nonato18,
  • Antonio M. da Silva Jr.18,
  • João Batista18 &
  • …
  • Odemir Martinez Bruno18 
  • Conference paper
  • 1062 Accesses

  • 1 Citations

Part of the Lecture Notes in Computer Science book series (LNIP,volume 3773)

Abstract

In this paper we present an image segmentation technique based on the concepts of circulation and topological control. Circulation is a mathematical tool widely used for engineering problems, but still little explored in the field of image processing. On the other hand, by controlling the topology it is possible to dictate the number of regions in the segmentation process. If we take very small regions as noise, the mechanism can be seen as an efficient means for noise reduction. This has motivated us to combine both mathematical tool in our algorithm. As a result, we obtained an automatic segmentation algorithm that generates segmented regions bounded by simple closed curves; a desireable characteristic in many applications.

Keywords

  • Image Segmentation
  • Adjacent Region
  • Boundary Curve
  • Euler Characteristic
  • Markov Random Fields

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.

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References

  1. Brigham, E.: Fast Fourier Transform and its applications. Prentice-Hall, Englewood Cliffs (1988)

    Google Scholar 

  2. Chellappa, R., Jain, A. (eds.): Markov Random Fields. Academic Press, London (1993)

    Google Scholar 

  3. Jiang, X.: An Adaptive Contour Closure Algorithm and Its Experimental Evaluation. IEEE Trans. Patt. Anal. Mach. Intell. 22(11) (2000)

    Google Scholar 

  4. Kanumgo: An Efficient k-Means Clustering Algorithm: Analysis and Implementation. IEEE Trans. Pattern Anal. Machine Intell. 24(7), 881–892 (2002)

    CrossRef  Google Scholar 

  5. Kass, M., Witkin, A., Terzopoulos, D.: Snakes: Active Contour Models. Int. Journal of Computer Vision, 312–331 (1988)

    Google Scholar 

  6. Li, S.Z.: Markov random field modeling in computer vision. Springer, Heidelberg (1995)

    Google Scholar 

  7. Lin, Y., Dou, J., Zhang, E.: Edge Expression Based on Tree Structure. Pattern Recognition 25(5), 507–517 (1992)

    CrossRef  Google Scholar 

  8. Ma, W., Manjunath, B.: EdgeFlow: A Technique for Boundary Detection and Image Segmentation. IEEE Trans. on Image Processing 9(8) (2000)

    Google Scholar 

  9. Mallat, S.: A Wavelet Tour of Signal Processing, 2nd edn. Academic Press, London (1999)

    MATH  Google Scholar 

  10. Nonato, L.G., Minghim, R., Oliveira, M.C.F., Tavares, G.: A novel approach to Delaunay 3D Reconstruction with a comparative analysis in the light of applications. Computer Graphics Forum. 20(2), 161–174 (2001)

    CrossRef  MATH  Google Scholar 

  11. Nonato, L.G., Minghim, R., Castelo, A., Batista, J.: Morse Operators for Digital Planar Surfaces and their Application to Image Segmentation. IEEE Transactions on Image Processing 13(2), 216–227 (2004)

    CrossRef  Google Scholar 

  12. Pal, N., Pal, S.: A review on image segmentation techniques. Pattern Recognition 26, 1277–1294 (1993)

    CrossRef  Google Scholar 

  13. Rezaee, M., et al.: A Multiresolution Image Segmentation Technique Based on Pyramidal Segmentation and Fuzzy Clustering. IEEE Trans. on Image Processing 9(7) (2000)

    Google Scholar 

  14. Serra, J.: Image Analysis and Mathematical Morphology. Academic Press, New York (1982)

    MATH  Google Scholar 

  15. Song, B., Lee, S.: On the Range Image Segmentation Technique Based on Local Correlation. In: Proc. Second Asian Conf. Computer Vision, pp. 528–532 (1995)

    Google Scholar 

  16. Sonka, M., et al.: Image Processing, Analysis and Machine Vision. PWS Publishing (1999)

    Google Scholar 

  17. Xu, C., Pham, D.L., Prince, J.L.: Image Segmentation using Deformable Models. Handbook of Medical Imaging, ch. 3, vol. 2. SPIE Press, San Jose (2000)

    Google Scholar 

  18. Yang, L., Albregtsen, F.: Fast and exact computation of Cartesian geometric moments using discrete Green’s theorem. Pattern Recognition 29(7), 1061–1073 (1996)

    CrossRef  Google Scholar 

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Author information

Authors and Affiliations

  1. Universidade de São Paulo, ICMC, São Carlos, SP, C.P. 668, 13560–970, Brazil

    Luis Gustavo Nonato, Antonio M. da Silva Jr., João Batista & Odemir Martinez Bruno

Authors
  1. Luis Gustavo Nonato
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  2. Antonio M. da Silva Jr.
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  3. João Batista
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  4. Odemir Martinez Bruno
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Editor information

Editors and Affiliations

  1. Dept. System Engineering and Automation, Universitat Politècnica de Catalunya (UPC) Barcelona, Spain

    Alberto Sanfeliu

  2. Pattern Recognition Group, ICIMAF, Havana, Cuba

    Manuel Lazo Cortés

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© 2005 Springer-Verlag Berlin Heidelberg

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Nonato, L.G., da Silva, A.M., Batista, J., Bruno, O.M. (2005). Circulation and Topological Control in Image Segmentation. In: Sanfeliu, A., Cortés, M.L. (eds) Progress in Pattern Recognition, Image Analysis and Applications. CIARP 2005. Lecture Notes in Computer Science, vol 3773. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11578079_40

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  • DOI: https://doi.org/10.1007/11578079_40

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-29850-2

  • Online ISBN: 978-3-540-32242-9

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