Research Article Open Access

Application of Cubic Spline in the Implementation of Braces for the Case of a Child

Rokiah Rozita Ahmad, Najah Ghazali, Azmin Sham Rambely, Ummul Khair Salma Din and Nasruddin Hassan

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.

Journal of Mathematics and Statistics
Volume 8 No. 1, 2012, 144-149

DOI: https://doi.org/10.3844/jmssp.2012.144.149

Submitted On: 4 June 2011 Published On: 10 February 2012

How to Cite: Ahmad, R. R., Ghazali, N., Rambely, A. S., Din, U. K. S. & Hassan, N. (2012). Application of Cubic Spline in the Implementation of Braces for the Case of a Child. Journal of Mathematics and Statistics, 8(1), 144-149. https://doi.org/10.3844/jmssp.2012.144.149

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Keywords

  • Cubic spline method
  • orthodontic
  • mathematical minimum error