Table 4.

Modeling of the reflection functions: Group L100—metal ceramic prostheses.

x	$\left[0,x_i\right)=\left[0,1\right)$	$\left[x_i,x_{\max }\right)=\left[1,3.25\right)$
ρ(x)	$f(x)=\frac{{\rho }_i-{\rho }_0}{x_i^2}{x}^2+{\rho }_0$	$\begin{array}{l}g(x)=\frac{4({\rho }_i-{\rho }_{\min })x(x-x_i-x_{\max })}{{\left(x_{\max }-x_i\right)}^2}+\\ +\frac{{\rho }_i{\left(x_i+x_{\max }\right)}^2-4{\rho }_{\min }{x}_i{x}_{\max }}{{\left(2x_M-x_m\right)}^2}\end{array}$
	$f(x)=3x^2+27$	$g(x)=2.37x^2-10.07x+361.25$
dρ/dx	$f(x)=2\frac{{\rho }_i-{\rho }_0}{x_i^2}x$	$g^{\prime }(x)=2\frac{{\rho }_o-{\rho }_{\min }}{{\left(2x_M-x_m\right)}^2}\left(x-x_m\right)$
	$f^{\prime }(x)=6x$	$g^{\prime }(x)=4.74\cdot x-10.07$
d2ρ/dx2	$f^{″}(x)=6{\mathrm{mm}}^{-2}$	$g^{″}(x)=2\frac{{\rho }_0-{\rho }_{\min }}{{\left(2x_M-x_m\right)}^2}=2.37{\mathrm{mm}}^{-2}$