1. A medical image processing apparatus comprising: an image data generator which generates a first energy image data and a second energy image data respectively corresponding to two different energy bands using an X-ray; a region of interest (ROI) processor which receives and processes the first energy image data and the second energy image data to generate a highlighted first energy image data and a highlighted second energy image data, by highlighting tissue of interest classified based on a predetermined characteristic to be distinguished from a normal tissue; a resolution improvement and noise reduction processor configured to receive and process the first energy image data and the second energy image data to generate a contrast-improved first energy image data and a contrast-improved second energy image data, by performing at least one of a resolution improvement processing and a noise reduction processing; a first synthesis image generator configured to generate first image data, by synthesizing the contrast-improved first and second energy image data; a second synthesis image generator configured to generate second image data, by synthesizing the contrast-improved first and second energy image data with the highlighted first and second energy image data, in which the tissue of interest has been highlighted prior to the performing at least one of the resolution improvement processing and the noise reduction processing; and a display which alternately displays the first image data in which the tissue of interest is not highlighted, and the second image data in which the tissue of interest is highlighted to be distinguished from the normal tissue.