Abstract: Methods and systems (including software) for creating a treatment plan to align a patient's teeth using a plurality of removable aligners to be worn in sequential stages. These methods and systems may generate a plurality of potential treatment plan variations. Each variation may be optimized to best address the user's treatment goals, as well as approximating as closely as possible an ideal or target final position.

Abstract: Orthodontic and/or dental treatment planning methods and apparatuses. In particular, described herein are methods of generating a plurality of orthodontic treatment plans digitally using a hierarchy of bounding boxes enclosing the plurality of 3D shapes to avoid collisions during treatment.

Abstract: Orthodontic and/or dental treatment planning methods and apparatuses. In particular, described herein are methods of generating a plurality of potential treatment plan variations for the concurrent and interactive review of the treatment plan variations. Each variation may be optimized to best address the user's treatment goals, as well as approximating as closely as possible an ideal or target final position. Also described herein are orthodontic and/or dental treatment planning methods and apparatuses that allow a user to form, modify, and select a treatment plan from a plurality of different treatment plans, in real time.

Abstract: Orthodontic and/or dental treatment planning methods and apparatuses. In particular, described herein are methods of generating a plurality of potential treatment plan variations for the concurrent and interactive review of the treatment plan variations. Each variation may be optimized to best address the user's treatment goals, as well as approximating as closely as possible an ideal or target final position. Also described herein are orthodontic and/or dental treatment planning methods and apparatuses that allow a user to form, modify, and select a treatment plan from a plurality of different treatment plans, in real time.