. Author manuscript; available in PMC: 2016 Apr 1.

Published in final edited form as: Proc IEEE Int Symp Biomed Imaging. 2015 Apr;2015:449–453. doi: 10.1109/ISBI.2015.7163908

Table 2.

Matrix Normalization Equation

Equation

Raw

M1=M0 ◦ (1-E)

MaxNorm

M2=M1◦(1/max(M1))

SumNorm

M3=M1◦(1/sum(M1))

IndNorm

M 4 (i, j) = \frac{M_{0} (i, j) \circ (1 - E)}{[M_{0} (i, i) + M_{0} (j, j) - M_{0} (i, j)]}

M₀ is the initial computed matrix; E is the unit matrix; ◦ is the Hadamard product; max() is the maximum value of all matrix elements; sum() is summation of all matrix elements; (i,j) is the element (i,j) in the matrix. M1–M4 are four normalized matrices.