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

Kazuo Hayashi, Yoshima Araki, Jun Uechi, Hiroki Ohno, Itaru Mizoguchi

Research output: Contribution to journalArticle

32 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)45-51
Number of pages7
JournalJournal of Biomechanics
Volume35
Issue number1
DOIs
Publication statusPublished - 2002 Jan 9
Externally publishedYes

Keywords

  • 3-D analysis
  • 3-D surface-scanning
  • Dental cast
  • Finite helical axis
  • Orthodontic tooth movement

ASJC Scopus subject areas

  • Biophysics
  • Orthopedics and Sports Medicine
  • Biomedical Engineering
  • Rehabilitation

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