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Extracting Metrics for Three-dimensional Root Systems: Volume and Surface Analysis from In-soil X-ray Computed Tomography Data
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Estimating Molar Root Volume from Panoramic Radiographs Using a Geometric Approach-An Experimental Method Comparison.
Katharina Hartmann1, Markus Tröltzsch2, Sven Otto1
1Department of Oral and Maxillofacial Surgery and Facial Plastic Surgery, University Hospital, LMU Munich, Lindwurmstraße 2a, 80337 Munich, Germany.
Medicina (Kaunas, Lithuania)
|July 30, 2025
Summary
Panoramic radiographs can estimate molar root volume, offering a lower radiation alternative to cone-beam CT for jaw augmentation assessments.
Area of Science:
- Dental imaging
- Oral and maxillofacial surgery
- Radiology
Background:
- Jaw augmentation assessment typically requires pre- and postoperative tomographic imaging.
- Minimizing radiation exposure is an ethical imperative in medical imaging.
- Panoramic radiography (PR) offers a lower radiation dose than cone-beam CT (CBCT).
Purpose of the Study:
- To explore the feasibility of estimating tooth root volume using panoramic radiographs.
- To develop a mathematical model for tooth root volume assessment from 2D PR.
- To enable safer clinical assessments with reduced radiation exposure.
Main Methods:
- A mathematical approximation method was developed using elliptical and cuboid models for the 2D tooth root surface.
- True root volumes were obtained from CBCT scans (3D).
- A correlation factor 'r' was calculated to relate root surface area from PR to root depth, addressing the missing dimension in 2D imaging.
Main Results:
- The mathematical model was applied to 27 molars, with an average CBCT volume of 472.83 mm³.
- The calculated correlation factor 'r' was 8.04 (±1.90).
- The cuboid model using 'r' yielded an estimated average molar volume of 472.37 mm³ (±152.92), which was not significantly different from CBCT volumes.
Conclusions:
- A mathematical model utilizing elliptical projections from panoramic radiographs can reliably estimate molar root volume.
- This method provides comparable results to CBCT.
- It offers a significant reduction in radiation exposure for patients undergoing jaw augmentation assessments.

