Three-dimensional surround-view system for a combination composed of a vehicle and a trailer, wherein the trailer is fixed to the vehicle by means of a straight drawbar in an articulated manner at least about a vertical axis (z) of the vehicle, the surround-view system comprising: - a plurality of cameras (2 to 5) of the vehicle, - a plurality of cameras (7 to 9) of the trailer, - an image processing unit and - an optical output unit, wherein - the cameras (2 to 5) of the vehicle are calibrated with respect to a coordinate system of the vehicle, and are arranged on the vehicle in such a way that a three-dimensional vehicle all-round image can be generated by stitching together one image each from all the cameras (2 to 5) and can be displayed on the optical output unit, wherein a drawbar region of the vehicle all-round image shows the drawbar, - the cameras (7 to 9) of the trailer are calibrated with respect to a coordinate system of the trailer, and are mounted on the trailer in such a way that a three-dimensional trailer all-round image can be generated by stitching together one image each from all the cameras (7 to 9), wherein the trailer all-round image shows lateral surroundings of the trailer and a surrounding area to the rear of the trailer, wherein the image processing unit is configured - to determine from the drawbar region of the vehicle all-round image a first angle of rotation (α), by which the drawbar is rotated relative to the vehicle about the vertical axis (z) thereof relative to a forwards direction (x) of the vehicle, and - to replace a trailer region of the vehicle all-round image showing the trailer with a corresponding image region of the trailer partial all-round image depending on the determined first angle of rotation (α) of the drawbar, characterized in that the image processing unit is configured to project the images recorded by the cameras (2 to 5) of the vehicle onto a movable, three-dimensional first back projection surface and to project the images recorded by the cameras (7 to 9) of the trailer onto a movable, three-dimensional second back projection surface. - a plurality of cameras (2 to 5) of the vehicle, - a plurality of cameras (7 to 9) of the trailer, - an image processing unit and - an optical output unit, wherein - the cameras (2 to 5) of the vehicle are calibrated with respect to a coordinate system of the vehicle, and are arranged on the vehicle in such a way that a three-dimensional vehicle all-round image can be generated by stitching together one image each from all the cameras (2 to 5) and can be displayed on the optical output unit, wherein a drawbar region of the vehicle all-round image shows the drawbar, - the cameras (7 to 9) of the trailer are calibrated with respect to a coordinate system of the trailer, and are mounted on the trailer in such a way that a three-dimensional trailer all-round image can be generated by stitching together one image each from all the cameras (7 to 9), wherein the trailer all-round image shows lateral surroundings of the trailer and a surrounding area to the rear of the trailer, wherein the image processing unit is configured - to determine from the drawbar region of the vehicle all-round image a first angle of rotation (α), by which the drawbar is rotated relative to the vehicle about the vertical axis (z) thereof relative to a forwards direction (x) of the vehicle, and - to replace a trailer region of the vehicle all-round image showing the trailer with a corresponding image region of the trailer partial all-round image depending on the determined first angle of rotation (α) of the drawbar, characterized in that the image processing unit is configured to project the images recorded by the cameras (2 to 5) of the vehicle onto a movable, three-dimensional first back projection surface and to project the images recorded by the cameras (7 to 9) of the trailer onto a movable, three-dimensional second back projection surface.