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) | , 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 | 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 |