Method for operating a head-up display for a vehicle , in which, - in dependence on a specified three-dimensional vehicle surroundings model that has been ascertained in dependence on at least one first image of an image sequence and comprises an object which is detected in the first image and which has a specified resulting absolute position and/or a specified resulting position relative to the vehicle , - in dependence on a currently captured second image of the image sequence that has been captured a specified time period after the first image and comprises the detected object, a corrected display image is ascertained, wherein the corrected display image comprises at least one graphical element that represents the detected object and is ascertained such that it is suitable for being projected onto a specified display field of the head-up display , characterized in that the at least one graphical element is perceived by a viewer of the display field from a specified viewing position with a direct relationship to the real surroundings of the vehicle , and in that the corrected display image is ascertained in dependence on an original display image having at least one graphical element that represents the detected object of the captured first image, wherein the original display image is ascertained in dependence on the specified three-dimensional vehicle surroundings model such that it is suitable for being projected onto the specified display field of the head-up display , with the result that the at least one graphical element is perceived by the viewer of the display field from the specified viewing position with the direct relationship to the real surroundings of the vehicle , and an image section of the second image comprising the at least one object is ascertained in dependence on an ascertained own movement of the vehicle and the corrected display image is ascertained in dependence on the image section of the second image. - in dependence on a specified three-dimensional vehicle surroundings model that has been ascertained in dependence on at least one first image of an image sequence and comprises an object which is detected in the first image and which has a specified resulting absolute position and/or a specified resulting position relative to the vehicle , - in dependence on a currently captured second image of the image sequence that has been captured a specified time period after the first image and comprises the detected object, a corrected display image is ascertained, wherein the corrected display image comprises at least one graphical element that represents the detected object and is ascertained such that it is suitable for being projected onto a specified display field of the head-up display , characterized in that the at least one graphical element is perceived by a viewer of the display field from a specified viewing position with a direct relationship to the real surroundings of the vehicle , and in that the corrected display image is ascertained in dependence on an original display image having at least one graphical element that represents the detected object of the captured first image, wherein the original display image is ascertained in dependence on the specified three-dimensional vehicle surroundings model such that it is suitable for being projected onto the specified display field of the head-up display , with the result that the at least one graphical element is perceived by the viewer of the display field from the specified viewing position with the direct relationship to the real surroundings of the vehicle , and an image section of the second image comprising the at least one object is ascertained in dependence on an ascertained own movement of the vehicle and the corrected display image is ascertained in dependence on the image section of the second image. <EOS>