Identify a Specified Fish Species by the Co-occurrence Matrix and AdaBoost - Software Engineering, Artificial Intelligence, Networking and Parallel/Distributed Computing - page 100

−
i = 0

n n 1

j = 0 i · j · P δ ( i , j ) − μ x μ y
σ x σ y

−

CRR = (7)

where

n 1

i = 0 iP x ( i )

−

μ x =

n 1

j = 0 jP x ( j )

−

μ y =

n 1

i = 0 ( i − μ x )

−

x 2 P x

= ( )

σ i

n 1

j = 0 ( j − μ y )

−

y 2 P y

σ = ( j )

Sum of square variance is given by

n 1

i = 0

− n 1

j = 0 ( i − μ x )

−

2 P δ (

SSQ = i , j ) (8)

Inverse difference moment is given by

n − 1
i = 0

n − 1
j = 0

1

IDM =

2 ·

P δ ( i , j ) (9)

1 +( i − j )

Sum average is given by

2 n 2

k = 0

−

SAV = k ... P x + y ( k ) (10)

Sum variance is given by

2 n 2

k = 0 ( k − SAV )

−

2

SVA = ... P x + y ( k ) (11)

Sum entropy is given by

2 n 2

k = 0

−

SEP = − P x + y ( k ) · log { P x + y ( k ) } (12)

Entropy is given by

n − 1
i = 0

n − 1
j = 0 { P δ ( i , j ) }

2

EPY = (13)