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GHE Mechanism for Preserving Mean Brightness of the Original Image

Histogram equalization (HE) is the one of the simplest and most effective methods for contrast enhancement. However, the HE does not use a spatial feature included in the input image. The differential gray-level histogram (DH) which is contained edge information of the input image, were defined and the differential gray-level histogram equalization (DHE) has been proposed. Furthermore, the generalized histogram equalization (GHE) including HE and DHE was proposed. the GHE can control the mean brightness of the enhancement image and the mean brightness of the input image is preserved. In this paper, we clarify the mechanism for preserving mean brightness of GHE