1. An image processing device performing image processing to image data of an image, the image data including brightness information and chroma information, comprising: a variation extraction part that extracts a local variation component from the chroma information in said image data; a conversion part that produces a pseudo-texture component of brightness from the variation component from said chroma information; and an addition part that adds said pseudo-texture component to said brightness information and thereby produces brightness to which said pseudo-texture component is added, wherein: said variation extraction part comprises a first smoothing part that smoothes the image with a first smoothing radius; a second smoothing part that smoothes the image with a second smoothing radius that is smaller than said first smoothing radius; and a difference part that obtains a difference between before and after smoothing by said first smoothing part to produce the variation component; and said addition part adds said pseudo-texture component to an output of said second smoothing part.