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A New Image Segmentation Technique Using Maximum Spanning Tree

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Combinatorial Image Analysis (IWCIA 2008)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 4958))

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Abstract

An alternative to the gradient-based image segmentation methods are those methods that use eigenvectors based on an affinity matrix built from pairwise pixel similarity. In this paper, we describe a new image segmentation algorithm using the maximum spanning tree. Our method works on the affinity matrix; however, instead of computing eigenvalues and eigenvectors, we show that image segmentation could be transformed into an optimization problem: finding the maximum spanning tree of the graph with image pixels as vertices and pairwise similarities as weights. The experimental results on synthetic and real data show good performance of this algorithm.

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References

  1. Chung, F.R.K.: Spectral Graph Theory. American Mathematical Society (1997)

    Google Scholar 

  2. Cormen, T.H., Leiserson, C.E., Rivest, R.L., Stein, C.: Introduction to Algorithms, 2nd edn. MIT Press and McGraw-Hill (2001)

    Google Scholar 

  3. Perona, P., Freeman, W.T.: A factorization approach to grouping. In: Burkardt, H., Neumann, B. (eds.) Proc ECCV, pp. 655–670 (1998)

    Google Scholar 

  4. Puzicha, J., Rubner, Y., Tomasi, C., Buhmann, J.M.: Empirical evaluation of dissimilarity measures for color and texture. In: Proceedings of the IEEE International Conference on Computer Vision, pp. 1165–1173 (1999)

    Google Scholar 

  5. Scott, G.L., Longuet-Higgins, H.C.: Feature grouping by relocalisation of eigenvectors of the proximity matrix. In: Proc. British Machine Vision Conference, pp. 103–108 (1990)

    Google Scholar 

  6. Shi, J., Malik, J.: Normalized cuts and image segmentation. In: Proc. IEEE Conf. Computer Vision and Pattern Recognition, pp. 731–737 (1997)

    Google Scholar 

  7. Weiss, Y.: Segmentation using eigenvectors: a unifying view. In: Proceedings IEEE International Conference on Computer Vision, pp. 975–982 (1999)

    Google Scholar 

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Valentin E. Brimkov Reneta P. Barneva Herbert A. Hauptman

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© 2008 Springer-Verlag Berlin Heidelberg

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He, Q., Chu, CH.H. (2008). A New Image Segmentation Technique Using Maximum Spanning Tree. In: Brimkov, V.E., Barneva, R.P., Hauptman, H.A. (eds) Combinatorial Image Analysis. IWCIA 2008. Lecture Notes in Computer Science, vol 4958. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-78275-9_17

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  • DOI: https://doi.org/10.1007/978-3-540-78275-9_17

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-78274-2

  • Online ISBN: 978-3-540-78275-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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