Three-dimensional tooth modeling using a two-dimensional x-ray image

A non-transitory computer readable storage medium comprising instructions that, when executed by a processing device, cause the processing device to perform operations comprising:

• receiving a three-dimensional model for at least one tooth of a patient, the three-dimensional model comprising a three-dimensional crown component and a three-dimensional root component, wherein the three-dimensional crown component is from a scan and the three-dimensional root component is from a template;
• receiving a two-dimensional x-ray image of the at least one tooth, the two-dimensional x-ray image having been created by an x-ray imaging device having one or more parameters;
• generating, by a processing device, a scan model representing an initial estimate of the one or more parameters of the x-ray imaging device;
• generating, by the processing device, a two-dimensional contour of the at least one tooth based on projecting the three-dimensional model onto a plane using the scan model;
• overlaying the two-dimensional contour onto the two-dimensional x-ray image;
• adjusting the two-dimensional contour to cause a first crown component of the two-dimensional contour to approximately align to a second crown component of the two-dimensional x-ray image;
• and
• calibrating the scan model based on data obtained from adjusting the two-dimensional contour.

A system comprising:

• a memory;
• and
• a processing device, coupled to the memory, the processing device to:
• receive a three-dimensional model for at least one tooth of a patient, the three-dimensional model comprising a three-dimensional crown component and a three-dimensional root component, wherein the three-dimensional crown component is from a scan and the three-dimensional root component is from a template;
• receive a two-dimensional x-ray image of the at least one tooth, the two-dimensional x-ray image having been created by an x-ray imaging device having one or more parameters;
• generate, by a processing device, a scan model representing an initial estimate of the one or more parameters of the x-ray imaging device;
• generate, by the processing device, a two-dimensional contour of the at least one tooth based on projecting the three-dimensional model onto a plane using the scan model;
• overlay the two-dimensional contour onto the two-dimensional x-ray image;
• adjust, by the processing device, the two-dimensional contour to cause a first crown component of the two-dimensional contour to approximately align to a second crown component of the two-dimensional x-ray image;
• and
• calibrate the scan model based on data obtained from adjusting the two-dimensional contour.