1. An image processing apparatus comprising: a correcting unit constructed to correct signal value of a target pixel in an image based on a signal value of a pixel positioned around the target pixel in the image in a first color space; a converting unit constructed to convert a signal value of a pixel of the image corrected by the correcting unit in the first color space to a pixel value in a second color space; wherein the correcting unit changes a degree of correcting the signal value of the target pixel based on the signal value of the pixel positioned around the target pixel, based on a color in a color gamut of the second color space.