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. 2020 Jul 10;15(7):e0235924. doi: 10.1371/journal.pone.0235924

Table 1. Mathematical formulations, descriptions, and physiological correlate of spatial frequency parameters.

Adapted from Pearson et al. (2017).

Parameter Mathematical Formulation Mathematical Description Tissue Indicator(s)
Peak spatial frequency radius (PSFR) umax2+vmax2, where umax, vmax are directional vectors in frequency domain Distance from origin to peak of maximum frequency amplitude in 2-D Fourier spectrum Dominant frequency of banded fascicular organization pattern
Mmax max(F(u,v)) Value of the maximum frequency amplitude in 2-D Fourier spectrum Strength of frequency of most prominent banded pattern of tissue 
Mmax Percent max(F(u,v))F(u,v)dudv Ratio of Mmax to total intensity of pixels in 2-D Fourier spectrum Contribution of most prominent fascicle pattern compared to total background 
Sum F(u,v)dudv Sum of frequency amplitudes in 2-D Fourier spectrum Equivalent to total image brightness