一般咬合器是以下顎為純旋轉運動為設計前提，並以樞紐軸為患者和咬合器之間的共同參考軸，本研究之目的在利用追蹤裝置及逆運算方法記錄分析常人之下顎運動，藉以尋找個人樞紐軸所在。
本研究以光學式追蹤裝置紀錄個人咬合運動軌跡，以螺旋軸理論分析非屬顳顎關節異常之常人下顎張閉口運動，定量呈現下顎運動變化趨勢。另外，本研究蒐集22位無顳顎關節異常之受試者，以最佳化方法求取最佳樞紐軸，計算在左右兩側投影平面上耳道至髁狀突和耳道至樞紐軸的相對距離，耳道至樞紐軸水平距離分別為6.63±3.27mm、7.33±3.93mm，垂直距離則為4.63±5.09mm、2.92±5.70mm。同時進行配對樣本T檢定，驗證髁狀突和樞紐軸位置是否有所差異，結果顯示髁狀突和樞紐軸位置有顯著差異。計算髁狀突至樞紐軸距離，左右側水平距離分別為-10.00±4.88mm及-8.31±4.29mm，垂直距離分別為-0.98±4.11mm及0.025±5.32mm。若以二項式檢定，檢驗樞紐軸相對於髁狀突之分佈位置，結果顯示樞紐軸明顯位在髁狀突後方，但不一定在髁狀突上方或下方。

Articulator usage in dental clinic is based on the hypothesis that mandibular movement is an ideal rotation axis. Hinge axis formed by condyle processes and FH plane are usually a common reference for transferring spatial relationship between human maxilla/mandible and articulator. Main idea of this study is to track and analysis human instantial rotation axes of mandibular movements in order to locate personal hinge axis.
Base on screw theory we track human mandibular movements using 3D optical tracking system for this study. Therefore, the variances of mandibular movements can be quantified. We have invoked optimal method to locate the optimal hinge axis. 22 individuals were recruited for this study. We calculate the average distances of left and right sides between meatus and the hinge axis are 6.63mm and 7.33mm in horizontal, and 4.63mm and 2.92mm in vertical, respectively. Coincidence of the hinge and the condyle axes are compared by the paired samples t test. The result shows significant difference between the location of the hinge axis and the condyle axis. Left and right sides distances between condyle and hinge axes are -10.00mm and -8.31mm in horizontal, -0.98mm and 0.025mm in vertical, respectively. Relative position of the hinge and the condyle axes are compared by the binomial test. The result shows hinge axis significantly locate posterior to condyle, but it’s no significant located upper or lower to the condyle.

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