1. An image processing apparatus, comprising: an extraction unit configured to extract a high-frequency component and a low-luminance low-frequency component, from luminance data of an input image; a color blurring unit configured to perform gradation processing to smooth data on color data of the input image; and an output unit configured to output image data in which the output from the extraction unit is used as luminance data and the output from the color blurring unit is used as color data.