Mathematical Algorithm to Directly Quantify the Convergence Angle in Tooth Preparations Dyes

作者：Flores Marco^*; Lebrecht Walter; Figueroa Rodolfo

来源：International Journal of Morphology, 2011, 29(4): 1115-1122.

• Prosthodontics
• Tooth crown
• Tooth preparations
• Convergence angle
• Mathematical modeling

The aim of this study was to determine a mathematical algorithm to directly quantify the convergence angle (AC) dyes tooth preparations. The experimental model system consisted of crown preparations dyes simulated on plaster, which the CA was quantify by three trigonometric formulas. Formulas were obtained from mathematical models representing the crown preparation as a truncated pyramid shape, allowing a triangular projection on the plane. 60 direct measurements were made in situ on the walls of 15 dyes. An image was obtained from each dye using a digital camera (Schick (R) CDR). The CA were measured using software tools (Control). The data were statistically analyzed and test data were applied to propagation of errors. The angles calculated with the three math formulas ([F1], [F2] and [F3]) showed a high level of correlation with the control except for two samples. Within the limitations of this study we can conclude that through this mathematical algorithm, it is possible to directly quantify the AC preparation coronary dyes. Currently the evaluation of AC in both preparations made by undergraduate students of dentistry as well as dentists, are made subjectively. The three formulas presented in the algorithm have a high correlation to quantify the AC dyes. The [F3]. correlation is the most accomplished in all samples.

• 出版日期2011