Coordinate measuring system

A coordinate measuring method comprising:

• producing a laser line onto a surface of a workpiece;
• projecting a first optical marker onto the surface of the workpiece, the first optical marker being spaced apart from the laser line, and disposed along a first direction predefined in a body-fixed first coordinate system;
• projecting a second optical marker onto the laser line, the second optical marker being disposed along a second direction predefined in the first coordinate system;
• projecting a third optical marker onto the surface of the workpiece, the third optical marker being disposed along a third direction predefined in the first coordinate system;
• determining a first position of the first optical marker, a second position of the second optical marker, and a third position of the third optical marker in a body-fixed second coordinate system;
• determining a fourth position of the second optical marker in the first coordinate system;
• and
• determining a position and orientation of the first coordinate system with respect to the second coordinate system based on the first position, the second position, the third position, the fourth position, the first direction, the second direction, and the third direction.

A coordinate measuring system comprising:

• a scanner configured to:
• produce a laser line onto a surface of a workpiece,
• project a first optical marker onto the surface of the workpiece, the first optical marker being spaced apart from the laser line and disposed along a first direction predefined in a body-fixed first coordinate system,
• project a second optical marker onto the laser line, the second optical marker being disposed along a second direction predefined in the first coordinate system, and
• project a third optical marker onto the surface of the workpiece, the third optical marker being disposed along a third direction predefined in the first coordinate system;
• and
• a computation device comprising electronic circuitry and configured to determine:
• a first position of the first optical marker, a second position of the second optical marker, and a third position of the third optical marker in a body-fixed second coordinate system,
• a fourth position of the second optical marker in the first coordinate system, and
• a position and orientation of the first coordinate system with respect to the second coordinate system based on the first position, the second position, the third position, the fourth position, the first direction, the second direction, and the third direction.