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Issue No.01 - January (2011 vol.33)
pp: 200-202
Ming-Ming Cheng , TNList Tsinghua University, Beijing
Guo-Xin Zhang , TNList Tsinghua University, Beijing
Connectedness of random walk segmentation is examined, and novel properties are discovered, by considering electrical circuits equivalent to random walks. A theoretical analysis shows that earlier conclusions concerning connectedness of random walk segmentation results are incorrect, and counterexamples are demonstrated.
Image segmentation, random walk, Laplace's equation, counterexample, connectednes.
Ming-Ming Cheng, Guo-Xin Zhang, "Connectedness of Random Walk Segmentation", IEEE Transactions on Pattern Analysis & Machine Intelligence, vol.33, no. 1, pp. 200-202, January 2011, doi:10.1109/TPAMI.2010.138
[1] L. Grady, "Random Walks for Image Segmentation," IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 28, no. 11, pp. 1768-1783, Nov. 2006.
[2] P. Doyle and L. Snell, Random Walks and Electric Networks, Carus Mathematical Monographs, no. 22. Math. Assoc. of Am., 1984.
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