Statistics

Math expression

Mean

${\mu }_{d,\theta }={\displaystyle {\sum }_{m}m{P}_{d,\theta }\left(m\right)}$

Contrast

${\text{Co}}_{d,\theta }={\displaystyle {\sum }_m{m}^2{P}_{d,\theta }\left(m\right)}$

Standard Deviation

${\sigma }_{d,\theta }={\left[{\displaystyle {\sum }_m{\left(m-{\mu }_{d,\theta }\left(m\right)\right)}^2{P}_{d,\theta }\left(m\right)}\right]}^{1/2}$

Cluster Shade

$C{s}_{d,\theta }={\displaystyle {\sum }_m{\left(m-{\mu }_{d,\theta }\left(m\right)\right)}^3{P}_{d,\theta }\left(m\right)/{\sigma }_{d,\theta }^3}$

Cluster Prominence

$C{p}_{d,\theta }={\displaystyle {\sum }_m{\left(m-{\mu }_{d,\theta }\left(m\right)\right)}^4{P}_{d,\theta }\left(m\right)/{\sigma }_{d,\theta }^4}$

Angular Second Moment

$As{m}_{d,\theta }={\displaystyle {\sum }_m{P}_{d,\theta }{\left(m\right)}^2}$

Local Homegeneity

$L{h}_{d,\theta }={\displaystyle {\sum }_m{P}_{d,\theta }\left(m\right)/\left[1+m^2\right]}$

Shanon Entropy

$S{e}_{d,\theta }={\displaystyle {\sum }_m{P}_{d,\theta }\left(m\right)\ln \left[P_{d,\theta }\left(m\right)\right]}$