Euler-angle norms for tooth rotation, torque and tip

IF 2.4 3区医学 Q2 DENTISTRY, ORAL SURGERY & MEDICINE

Orthodontics & Craniofacial Research Pub Date : 2024-08-27 DOI:10.1111/ocr.12848

Benjamin Steinvorth, Stefano Troiani, Tony Weir, Maurice J. Meade

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Abstract

Intro

The aim of the current study was to develop and describe a new measuring system for the orientation of a tooth in a digitalized cast of a jaw and provide new angular values for the rotation, torque and tip of maxillary and mandibular teeth.

Methods

This retrospective cross-sectional study involved the utilization of a sub-group of extrinsic Euler-angles to derive optimal norm values per tooth in three different planes of orientation (‘rotation’, ‘torque’ and ‘tip’) by evaluating the digital representations of the teeth derived from a database containing over 17,500 patients. The process involved the entry of the .stl files of the jaw pairs into a fully automated software system (Smyl:Ai, Ulm, Germany) whereupon jaw alignment, teeth segmentation, landmark identification and visual validation of input files was conducted prior to calculation of the norm values for the three different planes of orientation.

Results

The digital scans in stereolithography (.STL)-file format of the upper and lower dentitions of 1914 individuals with optimal occlusion were chosen and evaluated. New mean (standard deviation) angular values were determined for the rotation, torque and tip of maxillary and mandibular teeth.

Conclusion

The findings facilitate the reappraisal of rotation, torque and tip values currently acceptable as ideal. They will inform anthropologists and dental researchers about occlusion and alignment in orthodontic and non-orthodontic patients and provide baseline data for future studies. The methodology will also enable the evaluation of large numbers of data in relatively short timeframes.

Abstract Image

查看原文本刊更多论文

轮齿旋转、扭矩和齿尖的欧拉角规范。

简介本研究旨在开发和描述一种新的测量系统，用于测量数字化颌骨模型中牙齿的方向，并为上颌和下颌牙齿的旋转、扭矩和尖端提供新的角度值：这项回顾性横断面研究包括利用外欧拉角子组，通过评估从包含 17500 多名患者的数据库中提取的牙齿数字图像，得出每颗牙齿在三个不同方向平面（"旋转"、"扭矩 "和 "尖端"）上的最佳标准值。在计算三个不同方向平面的标准值之前，需要将颌对的.stl 文件输入全自动软件系统（Smyl:Ai，德国乌尔姆），然后进行颌对齐、牙齿分割、地标识别和输入文件的视觉验证：结果：选择并评估了 1914 个具有最佳咬合的人的上下牙齿的立体光刻（.STL）文件格式的数字扫描结果。确定了上下颌牙旋转、扭力和牙尖的新平均（标准偏差）角度值：研究结果有助于重新评估目前可接受的理想旋转值、扭矩值和尖端值。它们将为人类学家和牙科研究人员提供有关正畸和非正畸患者咬合和排列的信息，并为未来的研究提供基线数据。该方法还能在相对较短的时间内对大量数据进行评估。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Orthodontics & Craniofacial Research 医学-牙科与口腔外科

CiteScore

5.30

自引率

3.20%

发文量

审稿时长

>12 weeks

期刊介绍： Orthodontics & Craniofacial Research - Genes, Growth and Development is published to serve its readers as an international forum for the presentation and critical discussion of issues pertinent to the advancement of the specialty of orthodontics and the evidence-based knowledge of craniofacial growth and development. This forum is based on scientifically supported information, but also includes minority and conflicting opinions. The objective of the journal is to facilitate effective communication between the research community and practicing clinicians. Original papers of high scientific quality that report the findings of clinical trials, clinical epidemiology, and novel therapeutic or diagnostic approaches are appropriate submissions. Similarly, we welcome papers in genetics, developmental biology, syndromology, surgery, speech and hearing, and other biomedical disciplines related to clinical orthodontics and normal and abnormal craniofacial growth and development. In addition to original and basic research, the journal publishes concise reviews, case reports of substantial value, invited essays, letters, and announcements. The journal is published quarterly. The review of submitted papers will be coordinated by the editor and members of the editorial board. It is policy to review manuscripts within 3 to 4 weeks of receipt and to publish within 3 to 6 months of acceptance.