Application of cubic spline in the implementation of braces for the case of a child

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1 Citation (Scopus)

Abstract

Problem statement: Orthodontic teeth movement is influenced by the characteristics of the applied force, including its magnitude and direction which normally based on the shape of ellipsoid, parabolic and U-shape that are symmetry. However, this will affect the movement of the whole set of tooth. Approach: This study intends to compare the form of general teeth with another method called cubic spline to get a minimum error in presenting the general form of teeth. Cubic spline method is applied in a mathematical model of a child's teeth, which is produced through resignation of orthodontic wires. It is also meant to create a clear view towards the true nature of orthodontic wires. Results: Based on mathematical characteristics in the spline and the real data of a teeth's model, cubic spline shows to be very useful in reflecting the shape of a curve because the dots chosen are not totally symmetry. Conclusion/Recommendation: Therefore, symmetrical curve can be produced in teeth's shape which is basically asymmetry.

Original languageEnglish
Pages (from-to)144-149
Number of pages6
JournalJournal of Mathematics and Statistics
Volume8
Issue number1
DOIs
Publication statusPublished - 2012

Fingerprint

Braces
Cubic Spline
Symmetry
Curve
Ellipsoid
Spline
Asymmetry
Recommendations
Mathematical Model
Children
Movement
Form

Keywords

  • Cubic spline method
  • Mathematical minimum error
  • Orthodontic

ASJC Scopus subject areas

  • Mathematics(all)
  • Statistics and Probability

Cite this

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title = "Application of cubic spline in the implementation of braces for the case of a child",
abstract = "Problem statement: Orthodontic teeth movement is influenced by the characteristics of the applied force, including its magnitude and direction which normally based on the shape of ellipsoid, parabolic and U-shape that are symmetry. However, this will affect the movement of the whole set of tooth. Approach: This study intends to compare the form of general teeth with another method called cubic spline to get a minimum error in presenting the general form of teeth. Cubic spline method is applied in a mathematical model of a child's teeth, which is produced through resignation of orthodontic wires. It is also meant to create a clear view towards the true nature of orthodontic wires. Results: Based on mathematical characteristics in the spline and the real data of a teeth's model, cubic spline shows to be very useful in reflecting the shape of a curve because the dots chosen are not totally symmetry. Conclusion/Recommendation: Therefore, symmetrical curve can be produced in teeth's shape which is basically asymmetry.",
keywords = "Cubic spline method, Mathematical minimum error, Orthodontic",
author = "Ahmad, {Rokiah @ Rozita} and Najah Ghazali and Rambely, {Azmin Sham} and Din, {Ummul Khair Salma} and Nasruddin Hassan",
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AU - Ahmad, Rokiah @ Rozita

AU - Ghazali, Najah

AU - Rambely, Azmin Sham

AU - Din, Ummul Khair Salma

AU - Hassan, Nasruddin

PY - 2012

Y1 - 2012

N2 - Problem statement: Orthodontic teeth movement is influenced by the characteristics of the applied force, including its magnitude and direction which normally based on the shape of ellipsoid, parabolic and U-shape that are symmetry. However, this will affect the movement of the whole set of tooth. Approach: This study intends to compare the form of general teeth with another method called cubic spline to get a minimum error in presenting the general form of teeth. Cubic spline method is applied in a mathematical model of a child's teeth, which is produced through resignation of orthodontic wires. It is also meant to create a clear view towards the true nature of orthodontic wires. Results: Based on mathematical characteristics in the spline and the real data of a teeth's model, cubic spline shows to be very useful in reflecting the shape of a curve because the dots chosen are not totally symmetry. Conclusion/Recommendation: Therefore, symmetrical curve can be produced in teeth's shape which is basically asymmetry.

AB - Problem statement: Orthodontic teeth movement is influenced by the characteristics of the applied force, including its magnitude and direction which normally based on the shape of ellipsoid, parabolic and U-shape that are symmetry. However, this will affect the movement of the whole set of tooth. Approach: This study intends to compare the form of general teeth with another method called cubic spline to get a minimum error in presenting the general form of teeth. Cubic spline method is applied in a mathematical model of a child's teeth, which is produced through resignation of orthodontic wires. It is also meant to create a clear view towards the true nature of orthodontic wires. Results: Based on mathematical characteristics in the spline and the real data of a teeth's model, cubic spline shows to be very useful in reflecting the shape of a curve because the dots chosen are not totally symmetry. Conclusion/Recommendation: Therefore, symmetrical curve can be produced in teeth's shape which is basically asymmetry.

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