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"Another criterion for classifying pixels is to minimize the error of misclassification. The goal is to find a threshold that classifies the image into two clusters such that we minimize the area under the histogram for one cluster that lies on the other cluster’s side of the threshold. This is equivalent to minimizing the within class variance or equivalently maximizing the between class variance." The ITK Software Guide.
With the mouse CT, Otsu with the settings above finds appropriate thresholds for the skeleton object and the soft tissue, as illustrated below.
