1. A medical image processing apparatus comprising: a three-dimensional model estimating section that estimates a three-dimensional model of body tissues based on a two-dimensional image of an image of the body tissues inside a body cavity inputted from a medical image pickup apparatus; a voxel detecting section that detects one voxel existing on a nearest side in a view direction of the medical image pickup apparatus among voxels included in the three-dimensional model; and a raised shape detecting section that acquires one curved surface including the one voxel to detect a position with gradient variation on the one curved surface and to determine whether or not body tissues with a locally raised shape exist in the position in the three-dimensional model.