1. An image interpolation apparatus, comprising: an edge area distinguishing part configured to distinguish an edge area including an edge from an image; an edge map generating part configured to generate an edge map by detecting an edge included in the edge area; an edge area classifying part configured to classify the edge area into a plurality of regions according to the number of edges included in the region of the edge map; and an interpolation part configured to interpolate each of the plurality of regions in different manners.