A medical image processing apparatus according to an embodiment includes processing circuitry. The processing circuitry acquires information on missing data based on first projection data obtained by scanning a subject. The processing circuitry generates second projection data by interpolating missing data in the first projection data based on the information on missing data. The processing circuitry generates a first reconstructed image by reconstructing the second projection data. The processing circuitry generates third projection data by performing forward projection on the first reconstructed image. The processing circuitry generates fourth projection data by updating the second projection data based on the third projection data. The processing circuitry generates a second reconstructed image based on the fourth projection data.
