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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
- Source :
-
Journal of Biomechanics . Jan2002, Vol. 35 Issue 1, p45. 7p. - Publication Year :
- 2002
-
Abstract
- 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. [Copyright &y& Elsevier]
- Subjects :
- *CORRECTIVE orthodontics
*THREE-dimensional imaging
*SCANNING systems
*LASER beams
Subjects
Details
- Language :
- English
- ISSN :
- 00219290
- Volume :
- 35
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Biomechanics
- Publication Type :
- Academic Journal
- Accession number :
- 12038527
- Full Text :
- https://doi.org/10.1016/S0021-9290(01)00166-X