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Maximizing a Sum Related to Image Segmentation Evaluation
Authors:Johannes Hatzl  Toufik Mansour  Mark Shattuck
Institution:(1) School of Psychology, Deakin University, 221 Burwood Highway, Burwood, Victoria, 3125, Australia;(2) Deakin University, Victoria, Australia
Abstract:Consider the set S of points in the plane consisting of the ordered pairs (i, j ), where 1 \leqslant i \leqslant m1 \leqslant i \leqslant m and 1 \leqslant j \leqslant n1 \leqslant j \leqslant n. A problem related to the study of segmentation evaluation of visual images concerns finding a permutation σ of the points of S for which the sum
?s ? Sd(s, s(s)) \sum\limits_{s \in S}d(s, \sigma(s))
Keywords:
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