Journal of Mathematical Imaging and Vision

, Volume 32, Issue 1, pp 89–96 | Cite as

An Approximate Distribution for the Normalized Cut

  • Saralees NadarajahEmail author


The normalized cut is a popular graph partitioning measure for perceptual organization. Here, some approximate but explicit expressions are derived for the probability density function, cumulative distribution function and the moments of the normalized cut. A simple procedure is provided for computing the associated percentile points and hence the associated confidence intervals. Finally, an application is illustrated.


Beta distribution Graph partitioning Normalized cut Sum of two random variables 


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Copyright information

© Springer Science+Business Media, LLC 2008

Authors and Affiliations

  1. 1.University of ManchesterManchesterUK

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