1. An image processing apparatus for an image constructed by a plurality of pixels having a signal of at least one color, comprising: a correction concentration obtaining unit which obtains a concentration after a correcting process; a correction coefficient changing unit which changes a correction coefficient based on a value of the concentration obtained by the correction concentration obtaining unit; an image correcting unit which makes an image correction by the correction coefficient changed by the correction coefficient changing unit; and an image recording processing unit which executes a recording process to the image corrected by the image correcting unit, wherein the correction coefficient changing unit changes the correction coefficient based on a bleeding ratio in the different concentration.