Haralick features [16]

No.

Feature name

Notation used

Formulation

1

Contrast

CONTRA

${\displaystyle \sum }_{i=1}^{N_G}{\displaystyle \sum }_{j=1}^{N_G}{\left(i-j\right)}^2\cdot P\left(i,j\right)$

2

Correlation

CORRE

$\frac{{{\displaystyle \sum }}_{i=1}^{N_G}{{\displaystyle \sum }}_{j=1}^{N_G}\left(i-{\mu }_x\right)\left(j-{\mu }_y\right)\cdot P\left(i,j\right)}{{\sigma }_x{\sigma }_y}$

3

Energy

ENERG

${\displaystyle \sum }_{i=1}^{N_G}{\displaystyle \sum }_{j=1}^{N_G}{\left[P\left(i,j\right)\right]}^2$

4

Homogeneity

HOMOG

${\displaystyle \sum }_{i=1}^{N_G}{\displaystyle \sum }_{j=1}^{N_G}\frac{P\left(i,j\right)}{1+{\left(i-j\right)}^2}$

5

Sum of square: variance

SUMOF

${\displaystyle \sum }_{i=1}^{N_G}{\displaystyle \sum }_{j=1}^{N_G}{\left(i-\mu \right)}^2\cdot P\left(i,j\right)$

6

Entropy

ENTRO

$-{\displaystyle \sum }_{i=1}^{N_G}{\displaystyle \sum }_{j=1}^{N_G}P\left(i,j\right)\cdot \log \left[P\left(i,j\right)\right]$