1. An image processing apparatus, comprising: a table generation unit that generates a table in which a coefficient set including predetermined weighting coefficients and pixels contained in a resolution converted image are related to each other on the basis of a size of an input image and a size of a resolution converted image; a coefficient selecting unit that selects a coefficient set to be applied for a calculation of a pixel value in the resolution converted image out of a plurality of coefficient sets on the basis of a table generated by the table generation unit; and a pixel value calculating unit that calculates pixel values to be used in the resolution converted image resulting from the resolution conversion of the input image on the basis of the coefficient set selected by the coefficient selecting unit and a plurality of pixel values contained in the input image.