A novel histogram definition for fuzzy color spaces

In this paper we introduce fuzzy naturals-based histograms on fuzzy color spaces. In our approach, histograms are fuzzy probability distributions on a fuzzy color space, where the fuzzy probability is calculated as the quotient between a fuzzy natural number and the number of pixels in the image, the former being a fuzzy (non-scalar) cardinality of a fuzzy set. This approach to histograms avoids the well-known disadvantages of the ordinary sigma-count as an estimation of the probability. We illustrate the potential application of the proposal by applying it to the problem of dominant color selection.

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