A novel method for the three-dimensional (3-D) analysis of orthodontic tooth movement - calculation of rotation about and translation along the finite helical axis
A novel method for the three-dimensional (3-D) analysis of orthodontic tooth movement - calculation of rotation about and translation along the finite helical axis
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DOI：
10.1016/s0021-9290(01)00166-x
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发表时间：
2002-01-01
影响因子：
2.4
通讯作者：
Mizoguchi, I
中科院分区：
文献类型：
--
作者：
Hayashi, K;Araki, Y;Mizoguchi, I
本研究的目的是建立一种在三维空间中评价正畸牙移动的新方法。该系统包括以下步骤：(1)使用狭缝激光三维表面扫描系统测量牙齿的三维位置；(2)在上颌第一磨牙处自动配准三维形状数据，并对坐标系进行归一化；(3)根据给定牙齿的两个位置数据自动配准计算旋转矩阵和平移向量；(4)将牙齿的有限螺旋轴计算为零旋转位移的轨迹；(5)将牙齿的运动表示为沿有限螺旋轴的旋转和平移。为了测试这个系统，一名男性患者(22岁2个月)患有安氏III类错牙合，前牙中度拥挤，使用了标准的多托槽矫治器进行治疗。在本研究中被作为一个典型案例。对牙科模型的印模分五个阶段进行，即在应用矫治器之前和之后。治疗后10d、1个月、2个月。结果表明，该分析方法能够更简单地描述给定牙齿沿有限螺旋轴旋转和平移的运动，并为正畸治疗过程中复杂的牙齿运动提供了定量的三维可视化信息。(C)2002爱思唯尔科学有限公司。保留所有权利。
The purpose of this study was to establish a novel method for evaluating orthodontic tooth movement in three-dimensional (3-D) space. The present system consisted of the following procedures at a given treatment period: (1) 3-D tooth positions were measured with a 3-D surface-scanning system using a slit laser beam, (2) the 3-D shape data were registered automatically at the maxillary first molars, and the coordinate systems were normalized; (3) the rotation matrix and translation vector were calculated from the automatic registration of the two position data for a given tooth; (4) the finite helical axes of teeth were calculated as the locus of zero rotational displacement, and (5) tooth movement was presented as rotation about and translation along the finite helical axis. To test this system, a male patient (age 22 yr 2 months) with Angle Class III malocclusion and moderate crowding of the anterior teeth, who had been treated using a standard multi-bracket appliance. was used as a model case in this study. Impressions for a dental cast model were taken at five phases, immediately before and after application of the appliance. and 10 days, 1 month and 2 months after beginning treatment. The results demonstrated that the present analytical method can more simply describe the movement of a given tooth by rotation about and translation along the finite helical axis, and provides quantitative visual 3-D information on complicated tooth movement during orthodontic treatment. (C) 2002 Elsevier Science Ltd. All rights reserved.