前伸运动三维轨迹算法模块的开发和应用

Exploiting and applying the algorithm model of the three-dimensional locus of protrusive movement

目的:探索用于对人工牙列牙合面任意点的三维前伸运动轨迹进行描记的算法模块。方法:应用激光三维扫描和重建技术,建立全口义齿人工牙列模型,采用Matlab6.5数学计算分析软件,并结合空间解析几何原理,对人工牙列牙合面上任意点在牙合架上的前伸运动进行数学建模和轨迹模拟。结果: ⑴建立了人工牙列牙合面上任意点前伸运动轨迹的数学模型。⑵获得了用于描记人工牙列牙合面上任意点三维前伸运动轨迹的算法模块,并对实际病例进行验证。结论:本研究在定量研究全口义齿功能运动轨迹方面作了初步尝试,实验结果揭示该方法的设计思想可行,并为定量研究义齿动态咬合情况奠定了基础。

Objective:This study was designed to exploit the algorithm model, which could calculate locus when maxillary artificial teeth were doing protrusive movement on Articulator Hanau H2. Methods:A typical edentulous case with one-year complete denture was selected for this study. A new complete denture remounted on articulator was scanned and reconstructed by three-dimensional technique. And a series of mathematical expressions were derived to describe the three-dimensional movements of arbitrary point on maxillary artificial teeth. With the geometrical parameters of the articulator, these mathematical equations can be solved by programming in Matlab6.5(a language for technical computing ). Results:⑴The mathematical model of protrusive movement of arbitrary point on maxillary artificial teeth was established. ⑵And the algorithm model to describe the spatial locus was exploited, when the maxillary body of articulator moved to backward. Conclusion:This study verified the use of a new method to quantitatively study the movement locus of complete denture in terms of spatial coordinates. And the quantitative analysis may lead to some suggestions about tooth arrangement and selective grinding of complete denture, and may also play a great role on the further research of the dynamic occlusion to improve dental restorative procedures.