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Table 19 List of histogram features

From: Feature analysis for classification of trace fluorescent labeled protein crystallization images

Symbol

Description

Formulation

μ

Average image intensity

\(\frac {1}{w*h}{\sum \nolimits }_{k=0}^{k=255}{k * H[k]}\)

σ

Std devn of intensity

\(\sqrt {\frac {1}{w*h}{\sum \nolimits }_{k=0}^{k=255}{ (k - \mu)^ 2 * H[k] }}\)

s

Skewness

\(\frac {1}{(w*h)*\sigma ^{1.0}} {\sum \nolimits }_{k=0}^{k=255}{ (k - \mu)^ 3 * H[k]}\)

k

Kurtosis

\(\frac {1}{(w*h)*\sigma ^{2}} {\sum \nolimits }_{k=0}^{k=255}{ (k - \mu)^ 4 * H[k] }\)

vE

Entropy

-\({\sum \nolimits }_{k=0}^{255} N[k] log(N[k]) \text {, where} N[k] = H[k]/(w*h)\)

\(g_{1}^{1}\), \(g_{1}^{2}\), \(g_{1}^{3}\),.. \(g_{3}^{3}\)

GLCM auto-correlation

Eq. 5

i a 1, i a 2, i a 3

Image auto-correlation

Eq. 6

m g 1, m g 2, m g 3

GLCM power spectrum magnitude

m g i =m e a n2(|f f t s h i f t(f f t2(P i ))|),1≤i≤3

mi

Image power spectrum magnitude

m i=m e a n2(|f f t s h i f t(f f t2(I))|.2)