Title :
Approximation of maxillary arch shape by mathematical functions
Author :
Ardzijauskaite, V.
Author_Institution :
Mechatron. Centre for Res., Studies & Inf., Kaunas Univ. of Technol., Kaunas, Lithuania
Abstract :
The purpose of this article is to describe the research that was made to investigate approximation of human maxillary dental arch curvature by different mathematical curves. The main goal of this work is to select mathematical functions that most precisely approximate the maxillary arch contours of the upper occlusion. In this study 8 dental casts were analyzed. To perform this work the polynomial, Parabolic, Catenary, Beta curves, optimized by Least Squares Method, were used.
Keywords :
approximation theory; curve fitting; dentistry; least squares approximations; medical computing; approximation theory; beta curve; catenary curve; dental cast; human maxillary dental arch curvature; least squares method; mathematical function; maxillary arch contour; parabolic curve; polynomial curve; Bridges; Conferences; Data acquisition; Dentistry; Equations; Humans; Least squares approximation; Polynomials; Shape measurement; Teeth; data analysis; data approximation; maxillary arch; occlusion;
Conference_Titel :
Intelligent Data Acquisition and Advanced Computing Systems: Technology and Applications, 2009. IDAACS 2009. IEEE International Workshop on
Conference_Location :
Rende
Print_ISBN :
978-1-4244-4901-9
Electronic_ISBN :
978-1-4244-4882-1
DOI :
10.1109/IDAACS.2009.5342970
