According to one embodiment, an image processing apparatus includes a color-difference signal correction unit. The color-difference signal correction unit includes a smoothing unit and a color edge extracting unit. The smoothing unit performs smoothing process on a color-difference signal to obtain a smoothed color-difference signal. The color edge extracting unit extracts a color edge component to be added to the smoothed color-difference signal. An edge coring unit which is included in the color edge extracting unit performs a coring process on a difference between the color-difference signal before the smoothing process is performed and the smoothed color-difference signal.