Method and reference model for checking a measuring system
The invention relates to a reference object ( 3 ) and a method for checking a measuring system ( 1 ), wherein a plurality of three-dimensional recordings ( 4, 8 ) of a reference object are recorded from different recording directions ( 5 ) by means of the measuring system ( 1 ). The reference object ( 3 ) has a closed shape, wherein each of the three-dimensional recordings ( 4 ) is registered with at least the preceding recording ( 4 ). In the case of a faulty calibration and/or in the case of a faulty registration, the individual recordings ( 4, 8 ) are deformed compared to the actual shape of the reference object ( 3 ), so that the deformation continues when assembling the individual three-dimensional recordings ( 4 ) to form an overall recording ( 54 ) and the generated overall recording ( 54 ) deviates in its dimensions from the dimensions of the reference object ( 3 ) as a result thereof. At least one object region ( 10 ) of the reference object ( 3 ) is measured twice, at the beginning of a circuit and at the end of the circuit, wherein a distance ( 55 ) is determined in the overall recording ( 54 ) between a first position of the object region ( 10 ) in a first recording at the beginning of the circuit and a second position of the object region ( 10 ) in a second recording at the end of the circuit.
1. A method of determining a calibration error in a measuring system, the method comprising:
recording a plurality of three-dimensional images of a reference object from a plurality of different image directions in a circuit along the reference object using the measuring system, wherein an object region of the reference object is imaged twice, at a start of the circuit and at an end of the circuit;
registering each of the three-dimensional images with another of the three-dimensional images using a registration algorithm for the measuring system so that the three-dimensional images are combined into an overall image;
determining a distance in the overall image between a first position of the object region in a three-dimensional image from the start of the circuit and a second position of the object region in a three-dimensional image from the end of the circuit;
determining a total measuring error based on the distance in the overall image;
determining a registration error of the measuring system from a deviation between an ideal virtual three-dimensional model of the reference object and another virtual model of the reference object generated by applying the registration algorithm for the measuring system to a plurality of virtual sub-regions of the ideal virtual three-dimensional model of the reference object; and
determining a calibration error by subtracting the registration error from the total measuring error.
2. The method according to claim 1 , wherein the reference object is ring-shaped and provides models of multiple teeth next to one another in a row.
3. The method according to claim 2 , wherein the measuring system orbits around the ring-shaped reference object during the recording of the three-dimensional images.
4. The method according to claim 1 , wherein the reference object is an articulator with a closed upper jaw and lower jaw.
5. The method according to claim 4 , wherein a trajectory of the measuring system is along a shape of the articulator during the recording of the three-dimensional images.
6. The method according to claim 1 , wherein an image direction of the three-dimensional image from the end of the circuit corresponds to an image direction of the three-dimensional image from the start of the circuit.
7. The method according to claim 1 , wherein a first image region of the three-dimensional image from the start of the circuit corresponds, at least partially, to an image region of a following three-dimensional image in the circuit.
8. The method according to claim 1 , wherein dimensions of the plurality of virtual sub-regions correspond to dimensions of image regions of the three-dimensional images.
9. The method according to claim 1 ,
wherein each three-dimensional image partially overlaps with a preceding three-dimensional image in a circuit direction, and
wherein the method further comprises:
registering each three-dimensional image with the preceding three-dimensional image and with a second preceding three-dimensional image that precedes the preceding three-dimensional image in the circuit direction.
10. A dental measuring system, comprising:
a dental camera configured to record a plurality of three-dimensional images from a plurality of different image directions in a circuit along a reference object, wherein an object region of the reference object is imaged twice, at a start of the circuit and at an end of the circuit; and
a computer configured to:
receive the three-dimensional images;
register each of the three-dimensional images with another of the three-dimensional images using a registration algorithm for the dental measuring system so that the three-dimensional images are combined into an overall image;
determine a distance in the overall image between a first position of the object region in a three-dimensional image from the start of the circuit and a second position of the object region in a three-dimensional image from the end of the circuit;
determine a total measuring error based on the distance in the overall image;
determine a registration error of the dental measuring system from a deviation between an ideal virtual three-dimensional model of the reference object and another virtual model of the reference object generated by applying the registration algorithm for the dental measuring system to a plurality of virtual sub-regions of the ideal virtual three-dimensional model of the reference object; and
determine a calibration error by subtracting the registration error from the total measuring error.
11. The dental measuring system according to claim 10 , wherein an image direction of the three-dimensional image from the end of the circuit corresponds to an image direction of the three-dimensional image from the start of the circuit.
12. The dental measuring system according to claim 10 , wherein a first image region of the three-dimensional image from the start of the circuit corresponds, at least partially, to an image region of a following three-dimensional image in the circuit.
13. The dental measuring system according to claim 10 , wherein dimensions of the plurality of virtual sub-regions correspond to dimensions of image regions of the three-dimensional images.
14. The dental measuring system according to claim 10 ,
wherein each three-dimensional image partially overlaps with a preceding three-dimensional image in a circuit direction, and
wherein the computer is further configured to:
register each three-dimensional image with the preceding three-dimensional image and with a second preceding three-dimensional image that precedes the preceding three-dimensional image in the circuit direction.