Apparatus for the angle-based localization of a position on a surface of an object, comprising - an orientation sensor which is configured to be arranged in a known relationship relative to a position to be identified on a surface of an object at least at a measurement time and to capture angle information relating to its current orientation at least at the measurement time; and - a programmable device at least with a processor and a memory, wherein the memory has instructions and at least one assignment rule for the object with the surface, which rule is used to assign associated positions on the surface of the object to angle information, and wherein the instructions, when executed by the processor, cause the programmable device to receive the angle information captured by the orientation sensor at the measurement time and to determine the position to be identified by means of assignment to the captured angle information on the basis of the assignment rule, wherein the apparatus also comprises a camera sensor, and wherein the instructions, when executed by the processor, also cause the programmable device to be configured to store at least one digital image recorded by the camera sensor in association with the angle information captured at the measurement time, wherein the camera sensor and the orientation sensor have a fixed position with respect to one another, and the orientation sensor is configured to capture associated angle information relating to its current orientation when recording the at least one digital image with the camera sensor, and the instructions, when executed by the processor, also cause the programmable device to be configured to store the associated angle information captured when recording the at least one digital image in association with the at least one digital image, wherein the instructions, when executed by the processor, also cause, before recording the at least one image for the position to be identified on the surface of the object, associated angle information associated with one or more historical images stored for this determined position to be provided for comparison, and wherein the apparatus also has a user interface which indicates to a user whether the current orientation of the orientation sensor corresponds to that used for the one or more historical images for the position. - an orientation sensor which is configured to be arranged in a known relationship relative to a position to be identified on a surface of an object at least at a measurement time and to capture angle information relating to its current orientation at least at the measurement time; and - a programmable device at least with a processor and a memory, wherein the memory has instructions and at least one assignment rule for the object with the surface, which rule is used to assign associated positions on the surface of the object to angle information, and the programmable device to receive the angle information captured by the orientation sensor at the measurement time and to determine the position to be identified by means of assignment to the captured angle information on the basis of the assignment rule, wherein the apparatus also comprises a camera sensor, and wherein the instructions, when executed by the processor, also cause the programmable device to be configured to store at least one digital image recorded by the camera sensor in association with the angle information captured at the measurement time, wherein the camera sensor and the orientation sensor have a fixed position with respect to one another, and the orientation sensor is configured to capture associated angle information relating to its current orientation when recording the at least one digital image with the camera sensor, and the instructions, when executed by the processor, also cause the programmable device to be configured to store the associated angle information captured when recording the at least one digital image in association with the at least one digital image, wherein the instructions, when executed by the processor, also cause, before recording the at least one image for the position to be identified on the surface of the object, associated angle information associated with one or more historical images stored for this determined position to be provided for comparison, and wherein the apparatus also has a user interface which indicates to a user whether the current orientation of the orientation sensor corresponds to that used for the one or more historical images for the position.