Abstract: A method includes to receive, via a computing device, data representing a plurality of teeth, identify data indicating which of the plurality of teeth are unerupted or erupting, predict at least one characteristic of a tooth of the unerupted or erupting teeth after they have fully erupted using one or more tooth eruption prediction factors, generate new data representing the unerupted or erupting teeth in multiple states of eruption based upon the predicted at least one characteristic of the fully erupted teeth, and generate a series of incremental tooth arrangements with the new data to define a proposed orthodontic treatment based on the new data representing the unerupted or erupting teeth in multiple states of eruption.

Abstract: Methods for and media with instruction to cause acquiring known dimensions of a tooth, applying a multivariant regression model using the known dimensions to calculate projected dimensions of the unerupted or erupting tooth, customizing a standard virtual geometry and/or a predefined virtual geometry using the projected dimensions of the unerupted or erupting tooth, and inserting the customized virtual geometry into a virtual model of the patient's jaw, and planning the movement of the teeth of the patient and designing a series of removable orthodontic aligners using the virtual model, the series of removable orthodontic aligners configured to be worn by the patient to incrementally align the teeth according to the planned movement.

Abstract: Computer-implemented methods and systems for modeling a patient's tooth. The methods may include generating a clinical crown mesh of the patient's tooth, where the clinical crown mesh includes known surfaces of a clinical crown of the patient's tooth. The methods may also include generating a parametric tooth model representing an average of multiple etalon tooth models of the same tooth type as the patient's tooth, where each of the multiple of etalon tooth models is represented by a mesh having a topical equivalence to a sphere and having no self-intersections. The methods may further include fitting the clinical crown mesh with the parametric tooth model to create an interim tooth model, and morphing the interim tooth model to substantially mimic an anatomical shape of the clinical crown mesh.

Abstract: Computer-implemented methods and systems for modeling teeth. Methods include generating a clinical crown mesh including visible surfaces of a clinical crown of a tooth; generating a parametric tooth model representing an average of multiple etalon teeth of the same tooth type; fitting the clinical crown mesh with the parametric tooth model to create an interim tooth model; and morphing the interim tooth model to mimic an anatomical shape of the clinical crown mesh. Fitting the clinical crown mesh with the parametric tooth model includes coupling point pairs on surfaces of the clinical crown mesh and the parametric tooth model, where a weighting factor is assigned to each point of the clinical crown mesh or parametric tooth model, and transforming the point pairs according to their weighting factors to cause the point pairs to converge.

Abstract: A computer-implemented method for modeling a complete tooth of a patient to facilitate dental and/or orthodontic treatment. The method includes generating a first set of digital data representing a clinical crown; generating a second set of digital data representing a plurality of digital tooth models of a particular tooth type each having a first parameterization; processing the second set of digital data to obtain a third set of digital data representing an average tooth model of the particular tooth type having a second parameterization which is less than the first parameterization; fitting the third set of digital data to the first set of digital data to create a set of digital data representing an interim tooth model; and morphing the set of digital data representing the interim tooth model to substantially mimic the anatomical shape of the clinical crown of the first set of digital data.

Abstract: A computer-implemented method for modeling a complete tooth of a patient to facilitate dental and/or orthodontic treatment. The method includes generating a first set of digital data representing a clinical crown; generating a second set of digital data representing a plurality of digital tooth models of a particular tooth type each having a first parameterization; processing the second set of digital data to obtain a third set of digital data representing an average tooth model of the particular tooth type having a second parameterization which is less than the first parameterization; fitting the third set of digital data to the first set of digital data to create a set of digital data representing an interim tooth model; and morphing the set of digital data representing the interim tooth model to substantially mimic the anatomical shape of the clinical crown of the first set of digital data.

Abstract: A method includes to receive, via a computing device, data representing a plurality of teeth, identify data indicating which of the plurality of teeth are unerupted or erupting, predict at least one characteristic of a tooth of the unerupted or erupting teeth after they have fully erupted using one or more tooth eruption prediction factors, generate new data representing the unerupted or erupting teeth in multiple states of eruption based upon the predicted at least one characteristic of the fully erupted teeth, and generate a series of incremental tooth arrangements with the new data to define a proposed orthodontic treatment based on the new data representing the unerupted or erupting teeth in multiple states of eruption.

Abstract: A method includes to receive, via a computing device, data representing a plurality of teeth, identify data indicating which of the plurality of teeth are unerupted or erupting, predict at least one characteristic of a tooth of the unerupted or erupting teeth after they have fully erupted using one or more tooth eruption prediction factors, generate new data representing the unerupted or erupting teeth in multiple states of eruption based upon the predicted at least one characteristic of the fully erupted teeth, and generate a series of incremental tooth arrangements with the new data to define a proposed orthodontic treatment based on the new data representing the unerupted or erupting teeth in multiple states of eruption.

Abstract: A computer-implemented method for modeling a complete tooth of a patient to facilitate dental and/or orthodontic treatment. The method includes generating a first set of digital data representing a clinical crown; generating a second set of digital data representing a plurality of digital tooth models of a particular tooth type each having a first parameterization; processing the second set of digital data to obtain a third set of digital data representing an average tooth model of the particular tooth type having a second parameterization which is less than the first parameterization; fitting the third set of digital data to the first set of digital data to create a set of digital data representing an interim tooth model; and morphing the set of digital data representing the interim tooth model to substantially mimic the anatomical shape of the clinical crown of the first set of digital data.

Abstract: A computer-implemented method for modeling a complete tooth of a patient to facilitate dental and/or orthodontic treatment. The method includes generating a first set of digital data representing a clinical crown; generating a second set of digital data representing a plurality of digital tooth models of a particular tooth type each having a first parameterization; processing the second set of digital data to obtain a third set of digital data representing an average tooth model of the particular tooth type having a second parameterization which is less than the first parameterization; fitting the third set of digital data to the first set of digital data to create a set of digital data representing an interim tooth model; and morphing the set of digital data representing the interim tooth model to substantially mimic the anatomical shape of the clinical crown of the first set of digital data.

Abstract: A method includes to receive, via a computing device, data representing a plurality of teeth, identify data indicating which of the plurality of teeth are unerupted or erupting, predict at least one characteristic of a tooth of the unerupted or erupting teeth after they have fully erupted using one or more tooth eruption prediction factors, generate new data representing the unerupted or erupting teeth in multiple states of eruption based upon the predicted at least one characteristic of the fully erupted teeth, and generate a series of incremental tooth arrangements with the new data to define a proposed orthodontic treatment based on the new data representing the unerupted or erupting teeth in multiple states of eruption.

Abstract: A method includes to receive, via a computing device, data representing a plurality of teeth, identify data indicating which of the plurality of teeth are unerupted or erupting, predict at least one characteristic of a tooth of the unerupted or erupting teeth after they have fully erupted using one or more tooth eruption prediction factors, generate new data representing the unerupted or erupting teeth in multiple states of eruption based upon the predicted at least one characteristic of the fully erupted teeth, and generate a series of incremental tooth arrangements with the new data to define a proposed orthodontic treatment based on the new data representing the unerupted or erupting teeth in multiple states of eruption.

Abstract: A method includes to receive, via a computing device, data representing a plurality of teeth, identify data indicating which of the plurality of teeth are unerupted or erupting, predict at least one characteristic of a tooth of the unerupted or erupting teeth after they have fully erupted using one or more tooth eruption prediction factors, generate new data representing the unerupted or erupting teeth in multiple states of eruption based upon the predicted at least one characteristic of the fully erupted teeth, and generate a series of incremental tooth arrangements with the new data to define a proposed orthodontic treatment based on the new data representing the unerupted or erupting teeth in multiple states of eruption.

Abstract: A method includes to receive, via a computing device, data representing a plurality of teeth, identify data indicating which of the plurality of teeth are unerupted or erupting, predict at least one characteristic of a tooth of the unerupted or erupting teeth after they have fully erupted using one or more tooth eruption prediction factors, generate new data representing the unerupted or erupting teeth in multiple states of eruption based upon the predicted at least one characteristic of the fully erupted teeth, and generate a series of incremental tooth arrangements with the new data to define a proposed orthodontic treatment based on the new data representing the unerupted or erupting teeth in multiple states of eruption.

Abstract: A method includes to receive, via a computing device, data representing a plurality of teeth, identify data indicating which of the plurality of teeth are unerupted or erupting, predict at least one characteristic of a tooth of the unerupted or erupting teeth after they have fully erupted using one or more tooth eruption prediction factors, generate new data representing the unerupted or erupting teeth in multiple states of eruption based upon the predicted at least one characteristic of the fully erupted teeth, and generate a series of incremental tooth arrangements with the new data to define a proposed orthodontic treatment based on the new data representing the unerupted or erupting teeth in multiple states of eruption.

Abstract: A computer-implemented method for modeling a complete tooth of a patient to facilitate dental and/or orthodontic treatment. The method includes generating a first set of digital data representing a clinical crown; generating a second set of digital data representing a plurality of digital tooth models of a particular tooth type each having a first parameterization; processing the second set of digital data to obtain a third set of digital data representing an average tooth model of the particular tooth type having a second parameterization which is less than the first parameterization; fitting the third set of digital data to the first set of digital data to create a set of digital data representing an interim tooth model; and morphing the set of digital data representing the interim tooth model to substantially mimic the anatomical shape of the clinical crown of the first set of digital data.

Abstract: A computer-implemented method for modeling a complete tooth of a patient to facilitate dental and/or orthodontic treatment. The method includes generating a first set of digital data representing a clinical crown; generating a second set of digital data representing a plurality of digital tooth models of a particular tooth type each having a first parameterization; processing the second set of digital data to obtain a third set of digital data representing an average tooth model of the particular tooth type having a second parameterization which is less than the first parameterization; fitting the third set of digital data to the first set of digital data to create a set of digital data representing an interim tooth model; and morphing the set of digital data representing the interim tooth model to substantially mimic the anatomical shape of the clinical crown of the first set of digital data.

Abstract: A computer-implemented method for modeling a complete tooth of a patient to facilitate dental and/or orthodontic treatment. The method includes generating a first set of digital data representing a clinical crown; generating a second set of digital data representing a plurality of digital tooth models of a particular tooth type each having a first parameterization; processing the second set of digital data to obtain a third set of digital data representing an average tooth model of the particular tooth type having a second parameterization which is less than the first parameterization; fitting the third set of digital data to the first set of digital data to create a set of digital data representing an interim tooth model; and morphing the set of digital data representing the interim tooth model to substantially mimic the anatomical shape of the clinical crown of the first set of digital data.

Abstract: Modeling a complete tooth of a patient to facilitate dental and/or orthodontic treatment includes generating a first set of digital data representing a clinical crown; generating a second set of digital data representing a plurality of digital tooth models of a particular tooth type each having a first parameterization; processing the second set of digital data to obtain a third set of digital data representing an average tooth model of the particular tooth type having a second parameterization which is less than the first parameterization; fitting the third set of digital data to the first set of digital data to create a set of digital data representing an interim tooth model; and morphing the set of digital data representing the interim tooth model to substantially mimic the anatomical shape of the clinical crown of the first set of digital data.

Abstract: A computer-implemented method for modeling a complete tooth of a patient to facilitate dental and/or orthodontic treatment. The method includes generating a first set of digital data representing a clinical crown; generating a second set of digital data representing a plurality of digital tooth models of a particular tooth type each having a first parameterization; processing the second set of digital data to obtain a third set of digital data representing an average tooth model of the particular tooth type having a second parameterization which is less than the first parameterization; fitting the third set of digital data to the first set of digital data to create a set of digital data representing an interim tooth model; and morphing the set of digital data representing the interim tooth model to substantially mimic the anatomical shape of the clinical crown of the first set of digital data.