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The International Journal of Adult Orthodontics & Orthognathic Surgery
(Published from 1986-2002)

Edited by Robert L. Vanarsdall, DDS and Raymond P. White, Jr, DDS, PhD

Continued by World Journal of Orthodontics.

ISSN 0742-1931

Publication:
The International Adult Orthodontics & Orthognathic Surgery
Spring
Volume 17, Issue 1

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Description of dental arch form using the Fourier series

Patricia Valenzuela A.,DDS, Marco A. Pardo,DDS, Salomon Yezioro,DDS,

The aim of this study was to describe the form of the human superior dental arch using Fourier transformations. Forty models made in dental stone from impressions of the maxillary dental arch were used to obtain the reference data, which were expressed in Cartesian coordinates, from the mesovestibular cuspid vertices of molar teeth, vestibular cuspid of premolars, and incisal edge. Fourth-grade equations and Fourier series were calculated from these data. The results indicate that Fourier series more precisely express the form and size of different dental arches, with mixed or permanent dentition, than fourth-grade equations. Details of the mathematical procedure and the precision obtained were provided. (Int J Adult Orthod Orthognath Surg 2002;17: 5965)

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