The invention relates to system (I) for capturing measurement images of an object to be measured, comprising a mobile electronic device, wherein the mobile electronic device (2) comprises: —a housing (5), —a camera (6), integrated into the housing (5), for recording measurement images (39) of an object to be measured (38) within an observation region (20) of the camera (6), —a screen (7), integrated into the housing (5), for displaying images in a light-emitting manner, wherein the screen (7) faces the observation region (20) of the camera (6), —a control unit (8), integrated into the housing (5), said control unit being configured to actuate the screen (7) of the mobile electronic device (2) to display a plurality of different illumination images (23) of a predefined illumination image sequence, wherein the control unit (8) is configured to actuate the camera (6) of the mobile electronic device (2) to capture one measurement image (39) of the object to be measured in each case synchronously with displaying each illumination image (23) of the predefined illumination image sequence. The invention moreover relates to a corresponding method and computer program product.