Spectral Grouping Using the Nyström Method
Charless Fowlkes, Serge Belongie, Fan Chung, Jitendra Malik
icon Spectral graph theoretic methods have recently shown great promise for the problem of image segmentation. However, due to the computational demands of these approaches, applications to large problems such as spatiotemporal data and high resolution imagery have been slow to appear. The contribution of this paper is a method that substantially reduces the computational requirements of grouping algorithms based on spectral partitioning making it feasible to apply them to very large grouping problems. Our approach is based on a technique for the numerical solution of eigenfunction problems known as the Nystrom method. This method allows one to extrapolate the complete grouping solution using only a small number of samples. In doing so, we leverage the fact that there are far fewer coherent groups in a scene than pixels.

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Text Reference

Charless Fowlkes, Serge Belongie, Fan Chung, and Jitendra Malik. Spectral grouping using the nyström method. IEEE PAMI, 26(2):214–225, February 2004.

BibTeX Reference

    AUTHOR = "Fowlkes, Charless and Belongie, Serge and Chung, Fan and Malik, Jitendra",
    TITLE = {Spectral Grouping Using the Nystr{\"o}m Method},
    VOLUME = "26",
    YEAR = "2004",
    NUMBER = "2",
    MONTH = "February",
    PAGES = "214-225",
    TAG = "grouping"