1. A video display device for enhancing and displaying an input video signal based on a feature value of the input video signal, comprising: a histogram generation portion for generating a histogram of the feature value of the input video signal; an enhancement processing portion for regarding a top region in a prescribed range of the histogram generated by the histogram generation portion as a luminescent color and enhancing a pixel value of the luminescent color; and a compression gain processing portion for uniformly decreasing gain over the entire pixels of one frame subjected to enhancement processing after the enhancement processing portion performs the enhancement processing, wherein the histogram generation portion calculates, for each pixel of one frame of an input video signal, the feature value of a pixel and a possible maximum of the feature value of the pixel, calculates, for each pixel, a ratio of the feature value of the pixel to the maximum of the feature value as an index value of color brightness, and generates a histogram in which the number of pixels is integrated according to the index value, the enhancement processing portion regards a pixel in which the index value in the histogram generated by the histogram generation portion is greater than or equal to a prescribed threshold as the top region and carries out an enhancement by giving gain-up for a pixel value in the top region, the enhancement processing portion integrates, at the time of enhancing the pixel which is greater than or equal to the threshold, the number of pixels from a pixel having a highest feature value in a direction of low feature value of the histogram, applies gain-up in which the M-th (M is a prescribed value) percentile pixel of the total number of pixels is displayed in a displayable highest tone, and temporarily permits that the pixel value exceeds the displayable highest tone by the applied gain-up, and the compression gain processing portion performs, in a case where the pixel value exceeds the displayable highest tone even after the compression gain processing portion applies gain-down for the temporarily permitted pixel value, soft clip so that the pixel exceeding the highest tone is output in a tone within the highest tone as well as that an output value in a region from the highest tone up to a prescribed low tone gradually lowers in a curve.