1. An image processing apparatus comprising: a first specifying unit that specifies second feature point candidates serving as the candidates for a second feature point corresponding to a target first feature point, which is one of a plurality of first feature points extracted from a first image including a plurality of character regions corresponding to characters, among a plurality of second feature points extracted from a second image based on the result of comparison between a feature count representing image features at the target first feature point and a feature count representing image features at each of the plurality of second feature points; a second specifying unit that specifies second feature point candidates among the plurality of second feature points with respect to another first feature point included in a character region different from the target first feature point among the plurality of first feature points based on the result of comparison between a feature count representing image features at the other first feature point and the feature count representing image features at each of the plurality of second feature points; an evaluating unit that generates evaluation information on evaluation of the second feature point candidate of the target first feature point based on the result of comparison between the relative position of the other first feature point to the target first feature point and the relative position of the second feature point candidate of the other first feature point to the second feature point candidate of the target first feature point; and a setting unit that sets the second feature point candidate of the target first feature point in accordance with the evaluation information as the second feature point corresponding to the target first feature point.