The exemplary embodiments relate to a parking assistance system for a vehicle, designed to present surroundings of the vehicle. The parking assistance system can include at least one camera designed to record at least one image. The parking assistance system may use a grid structure to present the surroundings of the vehicle for a user. Additionally, the parking assistance system may have an image evaluation unit designed to determine the relative position and the orientation of another vehicle depicted in the image. Additionally, the image evaluation unit may be designed to adapt a grid structure on the basis of the determined orientation of the other vehicle, with the image being projected onto the adapted grid structure.