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Table 9 GLRLM equations

From: Classification of lung pathologies in neonates using dual-tree complex wavelet transform

\(\displaystyle LRE=\frac{\sum _{i=1}^{n} \sum _{j=1}^{m}j^2 (R_{i,j})}{\sum _{i=1}^{n} \sum _{j=1}^{m} R_{i,j}} \qquad {(14)}\)

\(\displaystyle SRE=\frac{\sum _{i=1}^{n} \sum _{j=1}^{m} \frac{(R_{i,j})}{j^2}}{\sum _{i=1}^{n} \sum _{j=1}^{m} R_{i,j}} \quad {(15)}\)

\(\displaystyle GLN=\frac{\sum _{i=1}^{n} (\sum _{j=1}^{m} (R_{i,j})^2)}{\sum _{i=1}^{n} \sum _{j=1}^{m} R_{i,j}} \quad {(16)}\)

\(\displaystyle RLN=\frac{\sum _{j=1}^{m} (\sum _{i=1}^{n} (R_{i,j})^2)}{\sum _{i=1}^{n} \sum _{j=1}^{m} R_{i,j}} \quad {(17)}\)

\(\displaystyle RP=\frac{\sum _{i=1}^{n} (\sum _{j=1}^{m} R_{i,j})}{N} \qquad {(18)}\)

\(\displaystyle LGRE=\frac{\sum _{i=1}^{n} \sum _{j=1}^{m} \frac{(R_{i,j})}{i^2}}{\sum _{i=1}^{n} \sum _{j=1}^{m} R_{i,j}} \quad {(19)}\)

\(\displaystyle HGRE=\frac{\sum _{i=1}^{n} \sum _{j=1}^{m}i^2 (R_{i,j})}{\sum _{i=1}^{n} \sum _{j=1}^{m} R_{i,j}} \qquad {(20)}\)

\(\displaystyle SRLGE=\frac{\sum _{i=1}^{n} \sum _{j=1}^{m} \frac{(R_{i,j})}{i^2\cdot j^2}}{\sum _{i=1}^{n} \sum _{j=1}^{m} R_{i,j}} \quad {(21)}\)

\(\displaystyle SRHGE=\frac{\sum _{i=1}^{n} \sum _{j=1}^{m} \frac{i^2(R_{i,j})}{j^2}}{\sum _{i=1}^{n} \sum _{j=1}^{m} R_{i,j}} \qquad {(22)}\)

\(\displaystyle LRLGE=\frac{\sum _{i=1}^{n} \sum _{j=1}^{m} \frac{j^2(R_{i,j})}{i^2}}{\sum _{i=1}^{n} \sum _{j=1}^{m} R_{i,j}} \quad {(23)}\)

\(\displaystyle \hspace{27.5 mm} LRHGE=\frac{\sum _{i=1}^{n} \sum _{j=1}^{m} i^2\cdot j^2 (R_{i,j})}{\sum _{i=1}^{n} \sum _{j=1}^{m} R_{i,j}} \quad {(24)}\)

 
  1. \(^{*}\)In the above GLRLM feature equations, i is the grey level, j is the run length and R is the GLRLM. The definitions for the features are provided in the Abbreviation section