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牙齿磨损过程的三维模拟建模

3D Simulation Modeling of the Tooth Wear Process.

作者信息

Dai Ning, Hu Jian, Liu Hao

机构信息

College of Mechanical & Electrical Engineering, Nanjing University of Aeronautics & Astronautics, Nanjing, Jiangsu, P.R. China.

Institution of Stomatology, Nanjing Medical University, Nanjing, Jiangsu, P.R. China.

出版信息

PLoS One. 2015 Aug 4;10(8):e0134807. doi: 10.1371/journal.pone.0134807. eCollection 2015.

Abstract

Severe tooth wear is the most common non-caries dental disease, and it can seriously affect oral health. Studying the tooth wear process is time-consuming and difficult, and technological tools are frequently lacking. This paper presents a novel method of digital simulation modeling that represents a new way to study tooth wear. First, a feature extraction algorithm is used to obtain anatomical feature points of the tooth without attrition. Second, after the alignment of non-attrition areas, the initial homogeneous surface is generated by means of the RBF (Radial Basic Function) implicit surface and then deformed to the final homogeneous by the contraction and bounding algorithm. Finally, the method of bilinear interpolation based on Laplacian coordinates between tooth with attrition and without attrition is used to inversely reconstruct the sequence of changes of the 3D tooth morphology during gradual tooth wear process. This method can also be used to generate a process simulation of nonlinear tooth wear by means of fitting an attrition curve to the statistical data of attrition index in a certain region. The effectiveness and efficiency of the attrition simulation algorithm are verified through experimental simulation.

摘要

重度牙齿磨损是最常见的非龋性牙病,会严重影响口腔健康。研究牙齿磨损过程既耗时又困难,且常常缺乏技术工具。本文提出了一种数字模拟建模的新方法,为研究牙齿磨损提供了一种新途径。首先,使用特征提取算法获取未磨损牙齿的解剖特征点。其次,在对齐未磨损区域后,通过径向基函数(RBF)隐式曲面生成初始均匀曲面,然后通过收缩和边界算法将其变形为最终均匀曲面。最后,采用基于拉普拉斯坐标的双线性插值方法,对磨损牙齿和未磨损牙齿之间的三维牙齿形态变化序列进行逆向重建。该方法还可通过将磨损曲线拟合到特定区域的磨损指数统计数据,生成非线性牙齿磨损的过程模拟。通过实验模拟验证了磨损模拟算法的有效性和效率。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/2461/4524631/c7204683e27d/pone.0134807.g001.jpg

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