Table 20 List of texture features

f ₁

Autocorrelation [40]

\( {\sum \nolimits }_{i}{\sum \nolimits }_{j}(ij)p(i,j)\)

f ₂

Contrast [40]

\({\sum \nolimits }_{n=0}^{N_{g}-1}n^{2}\left \{ {\sum \nolimits }_{i=1}^{N_{g}} {\sum \nolimits }_{j=1}^{N_{g}}p(i,j) \left.\right | |i-j|=n\right \}\)

f ₃

Correlation (Matlab) [43]

\({\sum \nolimits }_{i}{\sum \nolimits }_{j} \frac {(i-\mu _{x})(j-\mu _{y})p(i,j)}{\sigma _{x} \sigma _{y}}\)

f ₄

Correlation [40]

\({\sum \nolimits }_{i}{\sum \nolimits }_{j} \frac {(ij)p(i,j)-\mu _{x}\mu _{y}}{\sigma _{x}\sigma _{y}}\)

f ₅

Cluster prominence [41]

\({\sum \nolimits }_{i}{\sum \nolimits }_{j}\left (i + j - \mu _{x} - \mu _{y} \right)^{4} p\left (i,j \right)\)

f ₆

Cluster shade [41]

\({\sum \nolimits }_{i}{\sum \nolimits }_{j}\left (i + j - \mu _{x} - \mu _{y} \right)^{3} p\left (i,j \right)\)

f ₇

Dissimilarity [41]

\({\sum \nolimits }_{i}{\sum \nolimits }_{j}\left | i-j \right |\cdot p(i,j)\)

f ₈

Energy [40]

\({\sum \nolimits }_{i}{\sum \nolimits }_{j}p(i,j)^{2}\)

f ₉

Entropy [41]

\(-{\sum \nolimits }_{i}{\sum \nolimits }_{j}p\left (i,j \right)\log \left (p(i,j)\right)\)

f ₁₀

Homogeneity (Matlab) [43]

\({\sum \nolimits }_{i}{\sum \nolimits }_{j} \frac {p(i,j)}{1+\left | i-j \right |}\)

f ₁₁

Homogeneity [41]

\({\sum \nolimits }_{i}{\sum \nolimits }_{j}\frac {1}{1+\left (i-j \right)^{2}}p\left (i,j \right)\)

f ₁₂

Maximum probability [41]

\(\underset {i,j}{MAX}p\left (i,j \right)\)

f ₁₃

Sum of squares: Variance [40]

\({\sum \nolimits }_{i}{\sum \nolimits }_{j}(i-\mu)^{2} p(i,j)\)

f ₁₄

Sum average [40]

\({\sum \nolimits }_{i=2}^{2N_{g}}i p_{x+y}(i)\)

f ₁₅

Sum entropy [40]

\(-{\sum \nolimits }_{i=2}^{2N_{g}}p_{x+y}(i)\log \left \{ p_{x+y}(i) \right \}\)

f ₁₆

Sum variance [40]

\({\sum \nolimits }_{i=2}^{2N_{g}}(i-f_{15})^{2}p_{x+y}(i)\)

f ₁₇

Difference variance [40]

v a r(p _x−y )

f ₁₈

Difference entropy [40]

\(-{\sum \nolimits }_{i=0}^{N_{g}-1}p_{x-y}(i)\log \left \{ p_{x-y}(i) \right \}\)

f ₁₉

Information measure of correlation 1 [40]

\(\frac {HXY-HXY1}{max\left \{ HX,HY \right \}}\)

f ₂₀

Information measure of correlation 2 [40]

(1−exp[−2(H X Y2−H X Y)])^1/2

f ₂₁

Inverse difference (INV) [42]

\({\sum \nolimits }_{i}{\sum \nolimits }_{j} \frac {p(i,j)}{1+\left | i-j \right |}\)

f ₂₂

Inverse difference normalized [42]

\({\sum \nolimits }_{i}{\sum \nolimits }_{j}\frac {p(i,j)}{1+\left | i-j \right |/N_{g}}\)

f ₂₃

Inverse difference moment [42]

\({\sum \nolimits }_{i}{\sum \nolimits }_{j} \frac {p(i,j)}{1+((i-j)/N_{g})^{2}}\)