1. A medical image display apparatus comprising: an image obtainment unit that obtains a first image and a second image, which are three-dimensional images obtained by imaging a same patient at different points in time; a first tomographic image information obtainment unit that obtains first tomographic image information, which is information for identifying a first tomographic image that is a slice image included in the first image, and first region-of-interest information, which is information for identifying a first region of interest on the first tomographic image; a deformation amount calculation unit that calculates an image deformation amount of one of the first image and the second image for deforming the one of the first image and the second image to match the first image and the second image with each other; a second tomographic image identification unit that obtains, based on the calculated image deformation amount of the one of the first image and the second image and the first region-of-interest information, image deformation amounts at a plurality of positions included in a region of interest on the one of the first image and the second image, and identifies, based on the image deformation amounts at the plurality of positions and the first tomographic image information, a slice image in the second image corresponding to the first tomographic image, as a second tomographic image, and also identifies, based on the calculated image deformation amount of the one of the first image and the second image and the first region-of-interest information, a region of interest in the second image corresponding to the first region of interest, as a second region of interest; and a display control unit that makes the first tomographic image and the identified second tomographic image displayed on a display device in such a manner to be comparable with each other, and also makes the identified second region of interest distinguishably displayed on the second tomographic image by projecting the second region of interest onto the second tomographic image.