3D Tooth Modeling Using 2D X-Ray Root Alignment

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Solution Overview

Problem

Existing three-dimensional tooth modeling techniques often lack accurate representation of tooth roots due to incomplete data from optical scanning below the gum line, while three-dimensional x-ray imaging exposes patients to excessive radiation and is costly and cumbersome.

Innovation Solution

A method combining three-dimensional optical scanning for crown components with two-dimensional x-ray imaging to create a comprehensive three-dimensional tooth model, using a scan model to align and adjust two-dimensional contours with x-ray images, thereby integrating accurate crown and root information.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Measurement precision

If three-dimensional x-ray imaging is used to obtain complete tooth root data, then measurement precision is improved, but radiation exposure to patients increases and equipment costs increase

Engineering Contradiction:
Improvetooth root data accuracyVSAvoidradiation exposure
Core Design Contradiction:
Measurement precisionVSObject-affected harmful factors

Solution Approach 1:

The tooth modeling process is segmented into two parts: above-gum-line regions captured by optical scanning and below-gum-line regions captured by 2D x-ray imaging. This segmentation allows each imaging modality to be used only where it is most effective, avoiding unnecessary radiation exposure while still obtaining complete tooth root data.

Inventive Principle:
Principle #1Segmentation

Solution Approach 2:

A scan model acts as an intermediary that estimates the imaging parameters of the x-ray device. This intermediary model enables the system to work with incomplete 2D x-ray data and reconstruct accurate 3D tooth root structures without requiring direct 3D x-ray imaging, thereby reducing radiation exposure.

Inventive Principle:
Principle #24Intermediary (Mediator)

2Measurement precision

If three-dimensional x-ray imaging is used to obtain complete tooth root data, then measurement precision is improved, but equipment costs increase

Engineering Contradiction:
Improvetooth root data accuracyVSAvoidequipment cost
Core Design Contradiction:
Measurement precisionVSEase of manufacture

Solution Approach 1:

The imaging system is segmented into two components: a low-cost optical scanner for crown imaging and a standard 2D x-ray device for root imaging. This segmentation allows the use of inexpensive equipment while achieving complete 3D tooth modeling, avoiding the need for expensive 3D x-ray imaging equipment.

Inventive Principle:
Principle #1Segmentation

Solution Approach 2:

The system creates a virtual copy (scan model) of the x-ray imaging process to estimate imaging parameters. This virtual model allows the system to process 2D x-ray images and reconstruct 3D root structures without requiring actual 3D x-ray imaging hardware, significantly reducing equipment costs.

Inventive Principle:
Principle #26Copying

3Object-affected harmful factors

If optical scanning is used to capture tooth crown data, then radiation exposure is reduced, but measurement precision of tooth roots deteriorates due to incomplete data below gum line

Engineering Contradiction:
Improveradiation exposureVSAvoidtooth root data accuracy
Core Design Contradiction:
Object-affected harmful factorsVSMeasurement precision

Solution Approach 1:

The system merges data from two different imaging modalities: optical scanning data for the tooth crown and 2D x-ray imaging data for the tooth root. By combining these complementary data sources and integrating them through the scan model, the system achieves complete 3D tooth modeling with accurate root representation while maintaining low radiation exposure.

Inventive Principle:
Principle #5Merging (Combining)

Applied Scientific Principles

This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.

Function Achieved in This Case

This approach generates a precise three-dimensional tooth model that includes both crown and root details, improving orthodontic diagnoses and treatment planning by reducing radiation exposure and equipment costs.

Implementation Method 1

two-dimensional x-ray image of at least one tooth from an x-ray imaging device

Methodology Applied
Scientific EffectX-Ray: X-Ray

Data Source

PatentUS12478459B2Three-dimensional tooth modeling using an estimation of an imaging process of an x-ray imaging device
Publication Date: 2025.11.25 ALIGN TECHNOLOGY INC
  • US12478459B2 patent drawing
  • US12478459B2 patent drawing
  • US12478459B2 patent drawing

AI summary

A scan model that is a mathematical model to simulate an imaging process performed by an x-ray imaging device that created a two-dimensional x-ray image of at least one tooth is generated. The scan model uses an initial estimate of one or more parameters of the x-ray imaging device. The one or more parameters include a scan angle parameter indicative of a scan angle of the x-ray imaging device. A two-dimensional contour of a three-dimensional model is adjusted to cause a first component of the two-dimensional contour to approximately align with a second component of the two-dimensional x-ray image. The scan model is calibrated based on data obtained from adjusting the two-dimensional contour.