$\begin{array}{ccc}& \begin{array}{l}gssp(i,j)=\genfrac{}{}{0.1ex}{}{\sqrt{{\left(g_x\right(i)-g_x(j\left)\right)}^2+{\left(g_y\right(i)-g_y(j\left)\right)}^2}}{N}\end{array}\hfill & \hfill \text{(1)}\end{array}$ $\begin{array}{ccc}& N=\sqrt{x_{\max }^2+y_{\max }^2}\hfill & \hfill \text{(2)}\end{array}$ $\begin{array}{ccc}& dx=\left(g_x\right(b)-g_x(a\left)\right)/x_{\max }\hfill & \hfill \text{(3)}\end{array}$ $\begin{array}{ccc}& dy=\left(g_y\right(b)-g_y(a\left)\right)/y_{\max }\hfill & \hfill \text{(4)}\end{array}$ $\begin{array}{ccc}& gss{p}_{vh}(i,j)=\{\begin{array}{cc}-dx,& i\ge j\\ dy,& i<j\end{array}\phantom{\}}\hfill & \hfill \text{(5)}\end{array}$ $\begin{array}{ccc}& I_{(R,G,B)}(i,j)=\{\begin{array}{cc}{I}_{\left(gss{p}_{vh}\right(i,j\left)\mathrm{,0}\mathrm{,0}\right)},& gss{p}_{vh}(i,j)\ge 0\\ I_{(0,-gss{p}_{vh}(i,j\left)\mathrm{,0}\right)},& gss{p}_{vh}(i,j)<0\end{array}\phantom{\}}\hfill & \hfill \text{(6)}\end{array}$ $\begin{array}{ccc}& x_i=\{\begin{array}{cc}{x}_s+gss{p}_{vh}(i,s),& i\ge s\\ x_s-gss{p}_{vh}(i,s),& i<s\end{array}\phantom{\}}\hfill & \hfill \text{(7)}\end{array}$ $\begin{array}{ccc}& y_i=\{\begin{array}{cc}{y}_s+gss{p}_{vh}(s,i),& i\ge s\\ y_s-gss{p}_{vh}(s,i),& i<s\end{array}\phantom{\}}\hfill & \hfill \text{(8)}\end{array}$ $\begin{array}{ccc}& I(x,y)=\lfloor gssp(x,y)*K\rfloor \hfill & \hfill \text{(9)}\end{array}$ $\begin{array}{ccc}& c{m}_{dx,dy}^H(a,b)={\displaystyle \sum _{x=1}^{n-1}}{\displaystyle \sum _{y=x+1}^n}\{\begin{array}{cc}& I(x,y)=a\\ 1,& and\\ & I(x+dx,y+dy)=b\\ 0,& otherwise\end{array}\phantom{\}}\hfill & \hfill \text{(10)}\end{array}$ $\begin{array}{ccc}& c{m}_{dx,dy}^V(a,b)={\displaystyle \sum _{y=1}^{n-1}}{\displaystyle \sum _{x=y+1}^n}\{\begin{array}{cc}& I(x,y)=a\\ 1,& and\\ & I(x+dx,y+dy)=b\\ 0,& otherwise\end{array}\phantom{\}}\hfill & \hfill \text{(11)}\end{array}$ $\begin{array}{ccc}& homogeneit{y}_{dx,dy}={\displaystyle \sum _{i=0}^K}{\displaystyle \sum _{j=0}^K}\genfrac{}{}{0.1ex}{}{c{m}_{dx,dy}(i,j)}{1+|i-j|}\hfill & \hfill \text{(12)}\end{array}$ $\begin{array}{ccc}& contras{t}_{dx,dy}={\displaystyle \sum _{i=0}^K}{\displaystyle \sum _{j=0}^K}{(i-j)}^{2}c{m}_{dx,dy}(i,j)\hfill & \hfill \text{(13)}\end{array}$ $\begin{array}{ccc}& uniformit{y}_{dx,dy}={\displaystyle \sum _{i=0}^K}{\displaystyle \sum _{j=0}^K}{\left(c{m}_{dx,dy}\right(i,j\left)\right)}^2\hfill & \hfill \text{(14)}\end{array}$ $\begin{array}{ccc}& textvisible\left(t\right)=\{\begin{array}{cc}1,& textvisible\\ 0,& textnotvisible\end{array}\phantom{\}}\hfill & \hfill \text{(15)}\end{array}$