In a control method and a control unit to control a high-energy, tomosynthesis scan in a contrast agent-assisted dual-energy tomosynthesis, image data of a first tomosynthesis scan are evaluated in order to determine the respective greyscale values for all volume segments. A tube current-time product value for every greyscale value is stored in a memory. For every projection angle, a calculation unit can thereupon calculate a tube current-time product value and acquisition parameters and result with which the second high-energy tomosynthesis scan is controlled.