Aligning components in relation to a coordinate measuring machine

1. A method for aligning a component in relation to a coordinate measuring machine having a stylus, the method comprising:

while the component is at a first position relative to the coordinate measuring machine, positioning the stylus at a second position such that the second position has a first positional relationship with the first position;

determining a conversion rule for calculating a coordinate of the component;

acquiring a coordinate of the component based on the conversion rule; and

in response to the component being repositioned to a third position relative to the coordinate measuring machine, repositioning the stylus to a fourth position such that (i) the fourth position has a second positional relationship relative to the third position that is substantially the same as the first positional relationship and (ii) the conversion rule remains valid for the second positional relationship.

2. The method of claim 1 , further comprising at least one of:

calculating coordinates of the component using the conversion rule while the component is repositioned to the third position and

calculating coordinates of the component using the conversion rule after the component is repositioned to the third position.

3. The method of claim 1 , wherein the stylus is mounted compliantly on a probe of the coordinate measuring machine.

4. The method of claim 3 , wherein axes of the coordinate measuring machine are stationary while the component is repositioned from the first position to the third position.

5. The method of claim 3 , wherein axes of the coordinate measuring machine are moved in accordance with the repositioning of the component from the first position to the third position.

6. The method of claim 1 , wherein:

the component comprises a centering region and

the second positional relationship is obtained by bringing the stylus and the component into engagement in the centering region.

7. The method of claim 6 , wherein a recess of the component forms the centering region.

8. The method of claim 1 , wherein:

the stylus has a receiving portion and

the receiving portion is configured to receive at least a portion of the component when the component is at the third position and the stylus is at the fourth position.

9. The method of claim 8 , wherein:

the coordinate measuring machine comprises an axis;

the component is aligned to have a first angle between the receiving portion and the axis when the component is at the first position;

the component is aligned to have a second angle between the receiving portion and the axis when the component is at the third position; and

the second angle is different from the first angle.

10. The method of claim 9 , wherein the axis is an axis of rotation of a rotary table.

11. The method of claim 1 , wherein:

the stylus has a shank on which a probing element is arranged and

the probing element is in contact with the component when the component is at the first position and the stylus is at the second position.

12. The method of claim 1 , wherein:

the component is a component part of a counterholder arrangement;

the counterholder arrangement includes a counterholder that is displaceable along a displacement axis of the counterholder arrangement; and

repositioning the component to the third position includes aligning the displacement axis in parallel with an axis of the coordinate measuring machine.

13. The method of claim 1 , wherein:

the component is a component part of a counterholder arrangement;

the counterholder arrangement includes a counterholder that is displaceable along a displacement axis of the counterholder arrangement; and

repositioning the component to the third position includes making a position of the component in a plane running non-parallel to the displacement axis coincide with an intended position in the plane.

14. The method of claim 1 , wherein:

the stylus comprises a centering region; and

the second positional relationship is obtained by bringing the component into engagement with the centering region.

15. The method of claim 1 , wherein:

the first position of the component comprises a first location of the component in space;

the second position of the stylus comprises a second location of the component in space;

the third position of the component comprises a third location of the component in space; and

the fourth position of the stylus comprises a fourth location of the component in space.

16. The method of claim 15 , wherein:

the first position of the component comprises a first orientation of the component in space;

the second position of the stylus comprises a second orientation of the component in space;

the third position of the component comprises a third orientation of the component in space; and

the fourth position of the stylus comprises a fourth orientation of the component in space.

17. A system comprising:

a coordinate measuring machine and

a stylus coupled to the coordinate measuring machine, wherein:

a component and the stylus have a first positional relationship when the component is at a first location relative to the coordinate measuring machine and the stylus is at a second location,

the system is configured to:

move the component from the first location to a third location relative to the coordinate measuring machine and

move the stylus from the second location to a fourth location,

the third location has a second positional relationship with the fourth location,

the second positional relationship is substantially the same as the first positional relationship,

the system is configured to determine a conversion rule for calculating coordinates of the component, and

the conversion rule is valid for the second positional relationship.