Abstract: The invention relates to a method for assigning position values, detected by means of a position detection system, to a topographic image of an object or body part, which comprises the following steps: providing a topographic model of an object or body part, scanning a surface of the object or body, detecting position values during the scanning and assigning detected position values to corresponding positions in the topographic model, the detected position values being assigned to points of a virtual surface of the topographic model, which has a distance from a model surface which corresponds to a radius of a partly spherical scanning tip of a scanning instrument, by means of which the surface of the object or body part is scanned in each case.

Abstract: A method for checking situation and position data of an instrument with at least a first section having at least a first sensor and at least a second sensor. The method encompasses the metrological determination of the situation or position, or its change, of the first sensor and the second sensor, determining a variable feature of the spatial reference between the situation or position of the first sensor and the situation or position of the second sensor at least at a first point in time, at a second point in time and at a third point in time. The method further encompasses determining, by means of a criterion, whether a difference of the variable feature between a first expression at a first point in time and a second expression at a second point in time still exists at a third point in time.

Abstract: The invention relates to a method for assigning position values, detected by means of a position detection system, to a topographic image of an object or body part, which comprises the following steps: providing a topographic model of an object or body part, scanning a surface of the object or body, detecting position values during the scanning and assigning detected position values to corresponding positions in the topographic model, the detected position values being assigned to points of a virtual surface of the topographic model, which has a distance from a model surface which corresponds to a radius of a partly spherical scanning tip of a scanning instrument, by means of which the surface of the object or body part is scanned in each case.

Abstract: A method for checking situation and position data of an instrument with at least a first section having at least a first sensor and at least a second sensor. The method encompasses the metrological determination of the situation or position, or its change, of the first sensor and the second sensor, determining a variable feature of the spatial reference between the situation or position of the first sensor and the situation or position of the second sensor at least at a first point in time, at a second point in time and at a third point in time. The method further encompasses determining, by means of a criterion, whether a difference of the variable feature between a first expression at a first point in time and a second expression at a second point in time still exists at a third point in time.