1. An image processing apparatus, comprising: one or more computer-readable memory; and one or more processors that are coupled to the one or more computer-readable memory and that are configured to implement 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 extracted high-frequency component and the extracted low-luminance low-frequency component output from the extraction unit are used as luminance data and the output from the color blurring unit is used as color data.