User:Kevin baas~enwiki/scratch

pg. 5

${\mu }_{p,q}=\sum _{x,y}(x-\overline{x}{)}^p(y-\overline{y}{)}^{q}a(x,y)$

pg. 6

$a(x,y)=\{\begin{array}{ll}1,& \text{if BinaryPixel}(x,y)=1\\ 0,& \text{if BinaryPixel}(x,y)=0\end{array}$

${\eta }_{p,q}=\frac{{\mu }_{p,q}}{{\mu }_{0,0}^{\gamma }}$

$\gamma =\frac{p+q}{2}+1$

${\mathrm{\Phi }}_1={\eta }_{2,0}+{\eta }_{0,2}$

${\mathrm{\Phi }}_2=({\eta }_{2,0}-{\eta }_{0,2}{)}^2+4{\eta }_{1,1}^2$

${\mathrm{\Phi }}_3=({\eta }_{3,0}-3{\eta }_{1,2}{)}^2+(3{\eta }_{2,1}-{\eta }_{0,3}{)}^2$

${\mathrm{\Phi }}_4=({\eta }_{3,0}+{\eta }_{1,2}{)}^2+({\eta }_{2,1}-{\eta }_{0,3}{)}^2$

pg. 7

$\text{AL}=\frac{\text{area}}{\text{diameter}}$

$\text{CMP}=\frac{4\pi \times \text{area}}{{\text{perimeter}}^2}$

pg. 8

$\text{CD}=\frac{\text{convex area}-\text{area}}{\text{convex area}}$

$\text{MAAarea}=\frac{{\text{diameter}}^2}{\text{area}}$

$\text{ECC}=\frac{\text{diameter}}{\text{width}}$

pg. 10

$P_c=\sum _i{n}_i{t}_i$

$P_c=\frac{1}{9}(12)+\frac{1}{9}(56)+\frac{1}{9}(9)+\frac{1}{9}(67)+\frac{1}{9}(13)+\frac{1}{9}(1)+\frac{1}{9}(100)+\frac{1}{9}(33)+\frac{1}{9}(65)=39.55$

pg. 12

$G=\frac{R+G+B}{3}$

pg. 16

$P_c=\sum _i{n}_i{t}_i$

$P_c=1(1)+0(2)+1(4)+1(8)+0(16)+0(32)+1(64)+1(128)=205$

pg. 18

$\text{area}=\frac{1}{2}\sum _i{x}_i{y}_{i+1}-x_{i+1}{y}_i$

pg. 19

$\begin{array}{c}{C}_x=\frac{\sum _i{x}_i}{|P|}\\ C_y=\frac{\sum _i{y}_i}{|P|}\end{array}$

pg. 21

$c=(x_1-x_0)(y_2-y_0)-(x_2-x_0)(y_1-y_0)$

pg. 26

$a^{\prime }\left(i\right)=a\left(i\right)\frac{\overline{a}}{{\sigma }_a}$

pg. 27

$C(X,Y)=\frac{\sum _i(x_i-\overline{x})(y_i-\overline{y})}{\sqrt{\sum _i(x_i-\overline{x}){}^2(y_i-\overline{y}){}^2}}$

$D(a_t,a_s)=|a_t-a_s|$

pg. 29

$d_e(i,j)=\sqrt{\sum _k(x_k\left(i\right)-x_k\left(j\right)){}^2}$

pg. 30

$d_c(i,j)=\sum _k|x_k(i)-x_k\left(j\right)|$

pg. 32

$d_c(i,j)=\sum _k{w}_k|x_k(i)-x_k\left(j\right)|$

$d_e(i,j)=\sqrt{\sum _k{w}_k(x_k\left(i\right)-x_k\left(j\right)){}^2}$