Methods and apparatuses for forming a three-dimensional volumetric model of a subject's teeth
Methods and apparatuses for generating a model of a subject's teeth. Described herein are intraoral scanning methods and apparatuses for generating a three-dimensional model of a subject's intraoral region (e.g., teeth) including both surface features and internal features. These methods and apparatuses may be used for identifying and evaluating lesions, caries and cracks in the teeth. Any of these methods and apparatuses may use minimum scattering coefficients and/or segmentation to form a volumetric model of the teeth.
1. A method of reconstructing a volumetric structure from a tooth, wherein the tooth is semi-transparent in a range of radiation wavelengths, the method comprising:
receiving, in a processor, a digital representation of a surface of the tooth, a plurality of images of the tooth taken by a camera in the range of radiation wavelengths, the plurality of images taken with lighting projected substantially from a direction of the camera, and location data representing a location of the camera for each of the plurality of images;
projecting a plurality of points of a grid of points corresponding to a volume within the surface of the tooth onto each of the plurality of images using a first calibration, wherein the grid of points are inside the tooth;
producing a list of intensity values for each projected point;
converting the intensity values on the list of intensity values into scattering coefficients according to a volume response; and
storing a minimum scattering coefficient for each point into a list of minimum scattering coefficients; and
outputting a volumetric model of the tooth produced from the list of minimum scattering coefficients.
2. The method of claim 1 , wherein the location data comprises position and orientation data of the camera at the time of capturing each of the plurality of images.
3. The method of claim 1 , wherein the first calibration comprises a fixed pattern noise calibration to calibrate for sensor issues and image ghosts of the camera.
4. The method of claim 1 , wherein the first calibration comprises a camera calibration that determines a transformation for the camera that projects known points in space to points on an image.
5. The method of claim 1 , wherein receiving the digital representation of the surface of the subject's tooth comprises determining the digital representation of the surface of the subject's tooth from a second plurality of images of the tooth taken in a visible-light range of radiation wavelengths taken from approximately the same locations as the plurality of locations of images of the tooth taken by the camera in the range of radiation wavelengths, further wherein projecting the plurality of points is performed for each point in the volume.
6. The method of claim 1 , wherein the grid of points comprises a cubic grid.
7. The method of claim 1 , wherein the camera comprises a camera sensor.
8. The method of claim 1 , wherein the range of radiation wavelengths comprises a near-infrared (near-IR) range of wavelengths.
9. A non-transitory computing device readable medium having instructions stored thereon for reconstructing a volumetric structure from a tooth that is semi-transparent in a range of radiation wavelengths, wherein the instructions are executable by a processor to cause a computing device to:
receive a digital representation of a surface of the tooth in a first coordinate system, a plurality of images of the tooth taken by a camera in the range of radiation wavelengths, the plurality of images taken with lighting projected substantially from a direction of the camera, and location data representing a location of the camera for each of the plurality of images;
project a plurality of points of a grid of points corresponding to a volume of the tooth onto each of the plurality of images using a first calibration, wherein the grid of points are inside the tooth;
produce a list of intensity values for each projected point;
convert the intensity values on the list of intensity values to scattering coefficients according to a volume response; and
store a minimum scattering coefficient for each point from the scattering coefficients into a list of minimum scattering coefficients; and
output a volumetric model of the tooth produced from the list of minimum scattering coefficients.
10. The device of claim 9 , wherein the location data comprises position and orientation data of the camera at the time of capturing each of the plurality of near-infrared images.
11. The device of claim 9 , wherein the location data comprises three numerical coordinates in a three-dimensional space, and pitch, yaw, and roll of the camera.
12. The device of claim 9 , wherein the first calibration comprises a fixed pattern noise calibration to calibrate for sensor issues and image ghosts of the camera.
13. The device of claim 9 , wherein the first calibration comprises a camera calibration that determines a transformation for the camera that projects known points in space to points on an image.
14. The device of claim 9 , wherein the grid of points comprises a cubic grid.
15. The method of claim 9 , wherein the range of radiation wavelengths comprises a near-infrared (near-IR) range of wavelengths.
16. A method of reconstructing a volumetric structure from a tooth, wherein the tooth is semi-transparent in a range of infrared (IR) radiation wavelengths, the method comprising:
collecting, in a processor, a digital representation of a surface of the tooth, a plurality of images of the tooth taken by a camera in the infrared range of radiation wavelengths, and location data representing a location of the camera corresponding to each of the plurality of images;
projecting a plurality of points of a grid of points corresponding to a volume within the surface of the tooth onto each of the plurality of images using a first calibration wherein the grid of points are inside the tooth;
producing a list of intensity values derived from the plurality of images for each projected point;
converting the intensity values of the list of intensity values to scattering coefficients according to a volume response; and
storing a minimum scattering coefficient for each point; and
outputting a volumetric model of the tooth produced from the minimum scattering coefficients.
17. The method of claim 16 , wherein the location data comprises position and orientation data of the camera at the time of capturing each of the plurality of images.
18. The method of claim 16 , wherein the first calibration comprises a camera calibration that determines a transformation for the camera that projects known points in space to points on an image.
19. The method of claim 16 , wherein collecting comprises determining the digital representation of the surface of the subject's tooth from a second plurality of images of the tooth taken in a visible-light range of radiation wavelengths, wherein second plurality of images are taken from approximately the same locations as the plurality of images of the tooth taken by the camera in the infrared range of radiation wavelengths.
20. The method of claim 16 , wherein the grid of points comprises a cubic grid.
21. The method of claim 16 , wherein the range of infrared (IR) radiation wavelengths comprises near-IR radiation wavelengths.