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

fYear

2009

fDate

21-23 Sept. 2009

Firstpage

319

Lastpage

322

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;

fLanguage

English

Publisher

ieee

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

Type

conf

DOI

10.1109/IDAACS.2009.5342970

Filename

5342970