Human evaluation in association to the mathematical analysis of arch forms

Two-dimensional study

Research output: Contribution to journalArticle

Abstract

Objectives: To evaluate the relationship between human evaluation of the dental-arch form, to complete a mathematical analysis via two different methods in quantifying the arch form, and to establish agreement with the fourth-order polynomial equation. Materials and methods: This study included 64 sets of digitised maxilla and mandible dental casts obtained from a sample of dental arch with normal occlusion. For human evaluation, a convenient sample of orthodontic practitioners ranked the photo images of dental cast from the most tapered to the less tapered (square). In the mathematical analysis, dental arches were interpolated using the fourth-order polynomial equation with millimetric acetate paper and AutoCAD software. Finally, the relations between human evaluation and mathematical objective analyses were evaluated. Results: Human evaluations were found to be generally in agreement, but only at the extremes of tapered and square arch forms; this indicated general human error and observer bias. The two methods used to plot the arch form were comparable. Conclusion: The use of fourth-order polynomial equation may be facilitative in obtaining a smooth curve, which can produce a template for individual arch that represents all potential tooth positions for the dental arch.

Original languageEnglish
JournalInternational Orthodontics
DOIs
Publication statusAccepted/In press - 1 Jan 2018

Fingerprint

Dental Arch
Tooth
Observer Variation
Maxilla
Orthodontics
Mandible
Acetates
Software

Keywords

  • Arch forms
  • Association
  • Human evaluation
  • Mathematical analysis

ASJC Scopus subject areas

  • Orthodontics

Cite this

@article{180112a858aa496fbd7d008876775597,
title = "Human evaluation in association to the mathematical analysis of arch forms: Two-dimensional study",
abstract = "Objectives: To evaluate the relationship between human evaluation of the dental-arch form, to complete a mathematical analysis via two different methods in quantifying the arch form, and to establish agreement with the fourth-order polynomial equation. Materials and methods: This study included 64 sets of digitised maxilla and mandible dental casts obtained from a sample of dental arch with normal occlusion. For human evaluation, a convenient sample of orthodontic practitioners ranked the photo images of dental cast from the most tapered to the less tapered (square). In the mathematical analysis, dental arches were interpolated using the fourth-order polynomial equation with millimetric acetate paper and AutoCAD software. Finally, the relations between human evaluation and mathematical objective analyses were evaluated. Results: Human evaluations were found to be generally in agreement, but only at the extremes of tapered and square arch forms; this indicated general human error and observer bias. The two methods used to plot the arch form were comparable. Conclusion: The use of fourth-order polynomial equation may be facilitative in obtaining a smooth curve, which can produce a template for individual arch that represents all potential tooth positions for the dental arch.",
keywords = "Arch forms, Association, Human evaluation, Mathematical analysis",
author = "Nurwahidah Zabidin and {Syed Mohamed}, {Alizae Marny Fadzlin} and Azami Zaharim and {Marizan Nor}, Murshida and Rosli, {Tanti Irawati}",
year = "2018",
month = "1",
day = "1",
doi = "10.1016/j.ortho.2018.01.009",
language = "English",
journal = "International Orthodontics",
issn = "1761-7227",
publisher = "Elsevier Masson",

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AU - Zabidin, Nurwahidah

AU - Syed Mohamed, Alizae Marny Fadzlin

AU - Zaharim, Azami

AU - Marizan Nor, Murshida

AU - Rosli, Tanti Irawati

PY - 2018/1/1

Y1 - 2018/1/1

N2 - Objectives: To evaluate the relationship between human evaluation of the dental-arch form, to complete a mathematical analysis via two different methods in quantifying the arch form, and to establish agreement with the fourth-order polynomial equation. Materials and methods: This study included 64 sets of digitised maxilla and mandible dental casts obtained from a sample of dental arch with normal occlusion. For human evaluation, a convenient sample of orthodontic practitioners ranked the photo images of dental cast from the most tapered to the less tapered (square). In the mathematical analysis, dental arches were interpolated using the fourth-order polynomial equation with millimetric acetate paper and AutoCAD software. Finally, the relations between human evaluation and mathematical objective analyses were evaluated. Results: Human evaluations were found to be generally in agreement, but only at the extremes of tapered and square arch forms; this indicated general human error and observer bias. The two methods used to plot the arch form were comparable. Conclusion: The use of fourth-order polynomial equation may be facilitative in obtaining a smooth curve, which can produce a template for individual arch that represents all potential tooth positions for the dental arch.

AB - Objectives: To evaluate the relationship between human evaluation of the dental-arch form, to complete a mathematical analysis via two different methods in quantifying the arch form, and to establish agreement with the fourth-order polynomial equation. Materials and methods: This study included 64 sets of digitised maxilla and mandible dental casts obtained from a sample of dental arch with normal occlusion. For human evaluation, a convenient sample of orthodontic practitioners ranked the photo images of dental cast from the most tapered to the less tapered (square). In the mathematical analysis, dental arches were interpolated using the fourth-order polynomial equation with millimetric acetate paper and AutoCAD software. Finally, the relations between human evaluation and mathematical objective analyses were evaluated. Results: Human evaluations were found to be generally in agreement, but only at the extremes of tapered and square arch forms; this indicated general human error and observer bias. The two methods used to plot the arch form were comparable. Conclusion: The use of fourth-order polynomial equation may be facilitative in obtaining a smooth curve, which can produce a template for individual arch that represents all potential tooth positions for the dental arch.

KW - Arch forms

KW - Association

KW - Human evaluation

KW - Mathematical analysis

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