An image processing apparatus includes: a first interpolating portion calculating a first interpolation value for a pixel value of a pixel of interest using pixel values of the pixel of interest and pixels neighboring the pixel of interest; a second interpolating portion detecting the direction of a smallest jump amount to calculate a second interpolation value for the pixel value of the pixel of interest; a detecting portion determining whether any change is made by interpolation using the first interpolation value, and selecting the first or second interpolation value when there is change or not; and an isolated point detecting portion determining whether the pixel of interest is an isolated point, outputting the first or second interpolation value when the pixel of interest is an isolated point, and outputting the pixel value of the pixel of interest when the pixel of interest is not an isolated point.