Orthodontic systems and methods including parametric attachments

A computer-implemented method for designing a customized tooth movement system for eliciting a selected movement of a patient's tooth, the method executed by a physical processor of a computer, the method comprising:

• determining, using instructions executed by the physical processor, a targeted force system configured to elicit the selected movement when applied to the patient's tooth;
• selecting, using instructions executed by the physical processor, a digital model of a generic tooth attachment configured to engage an orthodontic shell appliance;
• determining, using instructions executed by the physical processor, a first force system that would be applied to the patient's tooth by engagement of the generic tooth attachment with the orthodontic shell appliance;
• and
• modifying, using instructions executed by the physical processor, one or more parameters of the generic tooth attachment to form a custom tooth attachment, wherein the custom tooth attachment is configured to engage the orthodontic shell appliance so as to apply a second force system to the patient's tooth, the second force system more closely corresponding to the targeted force system than the first force system.