Polynomial and Catenary Curve Fits to Human Dental Arches

Abstract

Polynomial and catenary equations were fit by least square error methods to the dentitions of seven children with "normal" occlusion. Mean and mean square error were then used to analyze accuracy of curve fits and asymmetries of arches. A lack of congruency for the "lines of occlusion" common to the maxilla and mandible suggest that the defining anatomic landmarks are inaccurate. These analyses show that the coefficients of the sixth degree polynomial equations appear to have potential as clinical indicators of arch form and, perhaps, malocclusion.