Abstract: Systems, methods, and computer-readable media for orthodontic treatment planning for dentitions with un-erupted or partially erupted teeth. Three-dimensional (3D) descriptors may be indexed on a database by tooth type, with each 3D descriptor including spatial parameters associated with teeth of the same tooth type. The 3D descriptors may have a minimum distance to other 3D descriptors in 3D descriptor space. Methods may include receiving a tooth type of an at least partially un-erupted tooth of a patient, and estimating a shape of the at least partially un-erupted tooth based on at least one of the 3D descriptors with the same tooth type of the at least partially un-erupted tooth.

Abstract: Provided herein are methods and apparatuses for recommending tooth leveling (e.g., one or more of anterior leveling, posterior leveling, and arch-shape recommendations) for orthodontic devices and methods for patients. Factors involved in the leveling of teeth can include symmetry, doctor preferences, preferences regarding gender, the country in which the patient is being treated, and other issues related to the aesthetics of the mouth and arch shape. The device can comprise an aligner configured to fit over a patient's teeth. Methods of designing and manufacturing aligners based on leveling recommendations are also provided.

Abstract: Computer readable media for predicting a tooth shape for at least partially un-erupted teeth and dental appliances formed therefrom. In some examples, methods include generating orthoscopic views of virtual representations of an identified tooth type in different orthogonal directions, representing bounding shapes around the orthoscopic views, and applying principal component analysis on the bounding shapes to predict a tooth shape. In some examples, methods include generating a spherical harmonic signature for virtual representations of an identified tooth type, calculating a distance between spherical harmonic signatures to predict the tooth shape. The predicted tooth shape of the at least partially un-erupted tooth may be incorporated into virtual dentition model(s) of a dentition in accordance with an orthodontic treatment plan for treating the dentition.

Abstract: Provided herein are methods and apparatuses for recommending tooth leveling (e.g., one or more of anterior leveling, posterior leveling, and arch-shape recommendations) for orthodontic devices and methods for patients. Factors involved in the leveling of teeth can include symmetry, doctor preferences, preferences regarding gender, the country in which the patient is being treated, and other issues related to the aesthetics of the mouth and arch shape. The device can comprise an aligner configured to fit over a patient's teeth. Methods of designing and manufacturing aligners based on leveling recommendations are also provided.

Abstract: The example systems, methods, and/or computer-readable media described herein help with design of highly accurate models of un-erupted or partially erupted teeth and help fabricate of aligners for un-erupted or partially erupted teeth. Automated agents that use machine learning models to parametrically represent three-dimensional (3d) virtual representations of teeth as 3D descriptors in a 3D descriptor space are provided herein. In some implementations, the automated agents described herein provide instructions to fabricate aligners for at least partially un-erupted teeth using representative 3D descriptor(s) of a tooth type.

Abstract: The example systems, methods, and/or computer-readable media described herein help with design of highly accurate models of un-erupted or partially erupted teeth and help fabricate of aligners for un-erupted or partially erupted teeth. Automated agents that use machine learning models to parametrically represent three-dimensional (3d) virtual representations of teeth as 3D descriptors in a 3D descriptor space are provided herein. In some implementations, the automated agents described herein provide instructions to fabricate aligners for at least partially un-erupted teeth using representative 3D descriptor(s) of a tooth type.

Abstract: The example systems, methods, and/or computer-readable media described herein help with design of highly accurate models of un-erupted or partially erupted teeth and help fabricate of aligners for un-erupted or partially erupted teeth. Automated agents that use machine learning models to parametrically represent three-dimensional (3d) virtual representations of teeth as 3D descriptors in a 3D descriptor space are provided herein. In some implementations, the automated agents described herein provide instructions to fabricate aligners for at least partially un-erupted teeth using representative 3D descriptor(s) of a tooth type.

Abstract: The example systems, methods, and/or computer-readable media described herein help with design of highly accurate models of un-erupted or partially erupted teeth and help fabricate of aligners for un-erupted or partially erupted teeth. Automated agents that use machine learning models to parametrically represent three-dimensional (3d) virtual representations of teeth as 3D descriptors in a 3D descriptor space are provided herein. In some implementations, the automated agents described herein provide instructions to fabricate aligners for at least partially un-erupted teeth using representative 3D descriptor(s) of a tooth type.

Abstract: The example systems, methods, and/or computer-readable media described herein help with design of highly accurate models of un-erupted or partially erupted teeth and help fabricate of aligners for un-erupted or partially erupted teeth. Automated agents that use machine learning models to parametrically represent three-dimensional (3d) virtual representations of teeth as 3D descriptors in a 3D descriptor space are provided herein. In some implementations, the automated agents described herein provide instructions to fabricate aligners for at least partially un-erupted teeth using representative 3D descriptor(s) of a tooth type.

Abstract: The example systems, methods, and/or computer-readable media described herein help with design of highly accurate models of un-erupted or partially erupted teeth and help fabricate of aligners for un-erupted or partially erupted teeth. Automated agents that use machine learning models to parametrically represent three-dimensional (3d) virtual representations of teeth as 3D descriptors in a 3D descriptor space are provided herein. In some implementations, the automated agents described herein provide instructions to fabricate aligners for at least partially un-erupted teeth using representative 3D descriptor(s) of a tooth type.

Abstract: The example systems, methods, and/or computer-readable media described herein help with design of highly accurate models of un-erupted or partially erupted teeth and help fabricate of aligners for un-erupted or partially erupted teeth. Automated agents that use machine learning models to parametrically represent three-dimensional (3d) virtual representations of teeth as 3D descriptors in a 3D descriptor space are provided herein. In some implementations, the automated agents described herein provide instructions to fabricate aligners for at least partially un-erupted teeth using representative 3D descriptor(s) of a tooth type.

Abstract: Provided herein are methods and apparatuses for recommending tooth leveling (e.g., one or more of anterior leveling, posterior leveling, and arch-shape recommendations) for orthodontic devices and methods for patients. Factors involved in the leveling of teeth can include symmetry, doctor preferences, preferences regarding gender, the country in which the patient is being treated, and other issues related to the aesthetics of the mouth and arch shape. The device can comprise an aligner configured to fit over a patient's teeth. Methods of designing and manufacturing aligners based on leveling recommendations are also provided.

Abstract: A system for determining the relative displacement of a rigid object is described herein. In one embodiment, the system includes three data sources positioned on an object. The data sources are configured to transmit data relating to positional displacement of the object. Each data source has predefined movement parameters based on the position of each data source on the object. In one embodiment, the system further includes a receiver unit configured to display positional information relating to the object based on the data received from each data source. The positional information represents a single valid solution set generated in part by eliminating positional movements that exceed the predefined movement parameters.

Abstract: A system for determining the relative displacement of a rigid object is described herein. In one embodiment, the system includes three data sources positioned on an object. The data sources are configured to transmit data relating to positional displacement of the object. Each data source has predefined movement parameters based on the position of each data source on the object. In one embodiment, the system further includes a receiver unit configured to display positional information relating to the object based on the data received from each data source. The positional information represents a single valid solution set generated in part by eliminating positional movements that exceed the predefined movement parameters.