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In MRI, the object is sampled in the Fourier domain as a number of spatial frequency encoded readouts.
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When plotted as a function of spatial frequency, PCTF oscillates sinusoidally, hence producing alternating negative phase contrast at higher spatial frequencies (Ruprecht and Nield 2001).
Figure 6 Log-log plot of 1D-PSD spectral density as a function of spatial frequency.
In general, the number of spatial frequencies probed are much smaller than the number of frequencies required by the Nyquist-Shannon theorem, so that the Fourier coverage is incomplete.
The phase as a function of spatial frequency for this orientation was also recorded.
A spatial tuning curve for each cell was then generated by Fourier analyzing the responses and plotting the amplitude of the fundamental as a function of spatial frequency.
The effect of cell transplantation treatment on the optokinetic response was compared as a function of spatial frequency by using two-way ANOVA with treatment as an independent-measures factor and spatial frequency as a repeated-measures factor.
Spatial vision is often characterized by measuring sensitivity to contrast as a function of spatial frequency (the spatial contrast sensitivity function, SCSF, i.e., sensitivity vs. spatial frequency).
In our case, the amount of acquisitions is proportional to the number of spatial frequencies (49) multiplied by the number of spatial shifts (3).
To quantify resolution, the SNR must be estimated as a function of spatial frequency.
The Jacobian calculation depends on both mesh dimension and number of spatial frequencies while reconstruction only on the latter.
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