1. A medical image processing apparatus, comprising: acquisition circuitry configured to acquire a first photographic image and a second photographic image that contain tree structures of a subject; extraction circuitry configured to extract branch points of each of the tree structures in the first photographic image and the second photographic image; calculation circuitry configured to calculate the similarities between the branch points in the first photographic image and the branch points in the second photographic image based on the feature quantities of the branch points; and determination circuitry configured to determine the corresponding path between the branch points in the second photographic image and the branch points in the first photographic image based on the similarities between the branch points calculated by the calculation circuitry.