User:Kevin baas~enwiki/scratch

pg. 5

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

pg. 6

$a(x,y)={\begin{cases}1,&{\mbox{if BinaryPixel}}(x,y)=1\\0,&{\mbox{if BinaryPixel}}(x,y)=0\end{cases}}$

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

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

$\Phi _{1}=\eta _{2,0}+\eta _{0,2}$

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

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

$\Phi _{4}=(\eta _{3,0}+\eta _{1,2})^{2}+(\eta _{2,1}-\eta _{0,3})^{2}$

pg. 7

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

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

pg. 8

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

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

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

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

${\mbox{area}}={\frac {1}{2}}\sum _{i}{x_{i}y_{i+1}-x_{i+1}y_{i}}$

pg. 19

${\begin{matrix}C_{x}={\frac {\sum _{i}x_{i}}{|P|}}\\C_{y}={\frac {\sum _{i}y_{i}}{|P|}}\end{matrix}}$

pg. 21

$c=(x_{1}-x_{0})(y_{2}-y_{0})-(x_{2}-x_{0})(y_{1}-y_{0})$

pg. 26

$a'\left(i\right)=a\left(i\right){\frac {\bar {a}}{\sigma _{a}}}$

pg. 27

$C(X,Y)={\frac {\sum _{i}{\left(x_{i}-{\bar {x}}\right)\left(y_{i}-{\bar {y}}\right)}}{\sqrt {\sum _{i}{\left(x_{i}-{\bar {x}}\right){}^{2}\left(y_{i}-{\bar {y}}\right){}^{2}}}}}$

$D(a_{t},a_{s})=|a_{t}-a_{s}|$

pg. 29

$d_{e}(i,j)={\sqrt {\sum _{k}{\left(x_{k}\left(i\right)-x_{k}\left(j\right)\right){}^{2}}}}$

pg. 30

$d_{c}(i,j)=\sum _{k}{\left|x_{k}(i)-x_{k}\left(j\right)\right|}$

pg. 32

$d_{c}(i,j)=\sum _{k}{w_{k}\left|x_{k}(i)-x_{k}\left(j\right)\right|}$

$d_{e}(i,j)={\sqrt {\sum _{k}{w_{k}\left(x_{k}\left(i\right)-x_{k}\left(j\right)\right){}^{2}}}}$