US Patent 8439672 Method and system for optimizing dental aligner geometry

Method and system for establishing an initial position of a tooth, determining a target position of the tooth in a treatment plan, calculating a movement vector associated with the tooth movement from the initial position to the target position, determining a plurality of components corresponding to the movement vector, and determining a corresponding one or more positions of a respective one or more attachment devices relative to a surface plane of the tooth such that the one or more attachment devices engages with a dental appliance are provided.