1. A medical image processing apparatus, comprising: processing circuitry configured to acquire a first radiograph that is a virtual radiograph representing a projection of volume data, the volume data representing a three-dimensional structure of an inside of a body of a patient, and the virtual radiograph being generated to emphasize a specified part or a predetermined part among parts indicative of the three-dimensional structure of the inside of body of the patient that are included in the volume data, acquire a second radiograph of the inside of the body of the patient, apply, to the second radiograph, a smoothing filter, the smoothing filter being based on the first radiograph, and generate a part-removed image by removing one of the specified or predetermined part and other parts, which are parts other than the specified or predetermined part, wherein, for a case in which the part-removed image is generated by removing the other parts, the part-removed image is generated from the second radiograph after the smoothing filter has been applied, and, for a case in which the part-removed image is generated by removing the specified or predetermined part, the part-removed image is generated from a difference between the second radiograph before the smoothing filter has been applied and the second radiograph after the smoothing filter has been applied.