Aligner–Tooth Displacement Modeling for Faster Treatment Planning

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Solution Overview

Problem

Existing orthodontic treatment planning methods, such as finite element analysis, are computationally expensive and time-intensive, making them unsuitable for efficient simulation of mechanical interactions between aligners and teeth.

Innovation Solution

A computationally efficient method using spatial differences between aligners and teeth to model displacement fields, enabling the prediction of mechanical interactions and optimizing orthodontic force systems through 3D force-displacement modeling and machine learning algorithms.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Measurement precision

If finite element analysis is used to simulate mechanical interactions between aligners and teeth, then measurement precision and reliability are improved, but computation time and device complexity increase significantly

Engineering Contradiction:
Improveprecision of mechanical interaction simulationVSAvoidcomputation time
Core Design Contradiction:
Measurement precisionVSLoss of time

Solution Approach 1:

The patent segments the complex finite element analysis into distinct computational stages: (1) generating initial mesh models of teeth and aligners, (2) calculating spatial differences and displacement fields, (3) computing mechanical interactions only at critical contact regions. This segmentation reduces overall computation time while maintaining precision where needed.

Inventive Principle:
Principle #1Segmentation

Solution Approach 2:

The patent applies local quality by focusing computational resources on regions of interest - specifically, the contact interfaces between aligners and teeth. Instead of uniformly high-resolution modeling throughout, the system uses adaptive mesh refinement and localized displacement field calculations only where mechanical interactions occur, reducing total computation time while preserving measurement precision at critical locations.

Inventive Principle:
Principle #3Local quality

2Measurement precision

If finite element analysis is used to solve mechanical interactions, then measurement precision is improved, but device complexity and computational resources increase

Engineering Contradiction:
Improveprecision of force predictionVSAvoidcomplexity of analysis system
Core Design Contradiction:
Measurement precisionVSDevice complexity

Solution Approach 1:

The patent extracts and isolates the essential components needed for force prediction from the complete finite element analysis framework. It separates the critical displacement field calculations from the full structural analysis, using only the necessary elements (tooth models, aligner models, contact detection algorithms) while eliminating redundant computational complexity. This extraction maintains precision for orthodontic applications without requiring the entire finite element analysis apparatus.

Inventive Principle:
Principle #2Taking out (Extraction)

3Manufacturing precision

If detailed mechanical interaction analysis is performed, then manufacturing precision of aligners is improved, but computation time increases

Engineering Contradiction:
Improveprecision of aligner designVSAvoidtreatment planning time
Core Design Contradiction:
Manufacturing precisionVSLoss of time

Solution Approach 1:

The patent performs preliminary action by pre-calculating displacement fields and mechanical interaction characteristics during the treatment planning stage, before actual aligner manufacturing. It uses the computed force predictions to optimize aligner geometry and material properties in advance, ensuring manufacturing precision is achieved without requiring time-consuming detailed analysis during production or treatment adjustments.

Inventive Principle:
Principle #10Preliminary action

Data Source

PatentUS12433716B2Aligner stage analysis to obtain mechanical interactions of aligners and teeth for treatment planning
Publication Date: 2025.10.07 ALIGN TECHNOLOGY INC
  • US12433716B2 patent drawing
  • US12433716B2 patent drawing
  • US12433716B2 patent drawing

AI summary

Systems and methods of simulating, modeling, and validating orthodontic treatment are disclosed. The method may include designing an orthodontic treatment system or force system, generative a displacement field between a first position of a patient's teeth and a second position, modeling the three-dimensional force-displacement model generated by the treatment system or force system, and validating the treatment system or force system. The methods disclosed herein may be iterated to optimize the orthodontic force system or treatment system.