Jaw Curve Determination for Collision-Free Orthodontic Planning

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Solution Overview

Problem

Existing orthodontic treatment planning methods fail to efficiently minimize treatment duration while ensuring safety by preventing tooth collisions, which can cause discomfort or damage during tooth movement.

Innovation Solution

A method for determining a jaw curve by fitting a curve to the center points of tooth contours, using anchor points and a parametrical Hermite spline, to model tooth displacement and avoid collisions between teeth, thereby optimizing orthodontic treatment planning for efficiency and safety.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Productivity

If traditional orthodontic treatment planning methods are used, then treatment duration is extended, but if faster methods are used, tooth collisions occur causing damage

Engineering Contradiction:

Improvetreatment durationVSAvoidtooth collision damage

Core Design Contradiction:

ProductivityVSObject-affected harmful factors

Solution Approach 1:

The system performs preliminary simulation of tooth movements before actual treatment to predict and avoid collisions. By pre-calculating the jaw curve and simulating tooth displacement paths, the system identifies potential collision points and adjusts the treatment plan in advance, preventing damage while maintaining efficient treatment duration.

Inventive Principle:

Principle #10Preliminary action

Solution Approach 2:

The system uses feedback from simulated tooth movements to iteratively refine the treatment plan. By monitoring virtual tooth positions and detecting potential collisions during simulation, the system adjusts displacement vectors and timing to eliminate harmful interactions while optimizing treatment speed.

Inventive Principle:

Principle #23Feedback

2Speed

If tooth displacement is increased to reduce treatment duration, then treatment efficiency improves, but collision risk between teeth increases

Engineering Contradiction:

Improvetooth movement speedVSAvoidcollision avoidance

Core Design Contradiction:

SpeedVSReliability

Solution Approach 1:

The system dynamically adjusts tooth displacement vectors based on real-time simulation feedback. By making the treatment plan adaptive rather than static, the system can optimize movement speed at each stage while automatically reducing speed or adjusting paths when collision risks are detected, maintaining both efficiency and safety.

Inventive Principle:

Principle #15Dynamics

Solution Approach 2:

The system changes multiple parameters simultaneously including displacement magnitude, direction, and timing to optimize treatment. By adjusting these parameters based on simulated outcomes, the system achieves faster treatment while maintaining collision-free tooth movements through precise parameter control.

Inventive Principle:

Principle #35Parameter changes

Data Source

PatentUS11751975B2Systems and methods for determining a jaw curve

Publication Date: 2023.09.12 OXILIO LTD

AI summary

A method, executable by a processor, for planning an orthodontic treatment for a patient including determining tooth movement. The method includes obtaining a tooth and gingiva mesh from image data associated with teeth and surrounding gingiva; selecting a primary tooth to be moved to a desired position; displacing a tooth mesh of the primary tooth by a basic step distance toward the desired position determined on a jaw curve obtained for the teeth of the patient; determining if the displaced primary tooth collides with at least one secondary tooth in the desired position; in response to collision, displacing a tooth mesh of the secondary tooth away from the tooth mesh of the primary tooth by the basic step distance; and repeating determination of tooth collisions and displacing tooth contours of colliding teeth until no teeth of the teeth of the patient collide.