虚拟牙齿矫正过程中的牙弓绘制方法研究

Research on the Methods of Drawing Dental Arch during Virtual Orthodontics Treatment Process

回顾了主要的牙弓形态数学模型,对各种牙弓绘制方法进行了介绍和比较。其中的β函数法通过中切牙接触点、双侧尖牙牙尖点和双侧第二恒磨牙远中颊尖点五个点来确定理想牙弓弓形曲线,该方法较其它的方法拟合度更加好,为牙齿矫正提供了较理想的判别标准。最后采用Visual C++为编程语言,以OpenGL为图形开发工具,实现了牙弓曲线的绘制。

Several mathematic models of dental arch form were reviewed; the drawing methods of dental arch were introduced and compared. Beta function method that determine the ideal dental arch curve is through five points which are the central incisors cusp tips, the double canine cusp tips and the distobuccal cusp tips of the second molars. This method is better than others in approximation, and provides more ideal criteria for tooth orthodontic treatment. It is developed by calling functions from OpenGL graphic library through VC ＋ ＋ , and realizes drawing a dental arch curve.