1. An image processing apparatus, comprising: an acquisition section that obtains a first image and a second image; a generation section that, in accordance with a predetermined conversion factor, reduces a level of resolution of the first image to generate a first converted standard image and reduces a level of resolution of the second image to generate a first converted reference image; a search section that performs: a first search process of searching the first converted reference image for a first corresponding point that corresponds to a first standard point based on first phase information on each frequency component of first frequency information regarding a first standard area including the first standard point as a standard in the first converted standard image and based on second phase information on each frequency component of second frequency information regarding a first reference area including a first search standard point as a standard in the first converted reference image; and a second search process of searching the second image for a second corresponding point that corresponds to a second standard point based on third phase information on each frequency component of third frequency information regarding a second standard area including the second standard point corresponding to the first standard point as a standard in the first image and based on fourth phase information on each frequency component of fourth frequency information regarding a second reference area including a second search standard point as a standard in the second image; a determination section that determines a position of the second search standard point in the second image based on a position of the first corresponding point in the first converted reference image; and a storage section that stores computed information regarding at least part of the first frequency information and the second frequency information obtained through the computation in the first search process and the third frequency information obtained through the computation in the second search process, wherein the search section performs at least one of: in the second search process, the process of using the computed information obtained through the computation in the first search process as part of information for computations regarding the third frequency information and the fourth frequency information to calculate the other of the information for computations regarding the third frequency information and the fourth frequency information based on the first and second images; and in the first search process, the process of using the computed information obtained through the computation in the second search process as part of information for computation regarding the first frequency information to calculate the other of the information for computation regarding the first frequency information based on the first converted standard image.