An image processing apparatus of an embodiment includes a combined image generator and a controller. The combined image generator projects, on three-dimensional data indicating three-dimensional heart function information obtained from a first volume data group obtained by imaging the heart of a subject, a three-dimensional shape of blood vessels nourishing a cardiac muscle included in second volume data obtained by imaging the heart, thereby producing three-dimensional combined data, and produces combined image data in which the three-dimensional combined data is developed on a surface. The controller causes a display unit to display the combined image data.