Apparently, our eyes sense the difference between the spatial spectra of the signals and the noise. Visually, we can suppress the noise because of its noticeably lower frequency. This suggests filtering the data to suppress the noise. We might prefer unfiltered noisy images or we might prefer filtered images with less noise.
Seismograms present a similar problem.
Some people think they prefer to look at a best image of the earth's true velocity, impedance, or whatever, while others prefer to look at a filtered version of the same, especially if the filter is known and the image is clearer. Here I chose a simple filter to suppress the low-frequency noise. It may be far from optimal. For simplicity, I chose to apply the Laplacian operator to the images to roughen them, i.e., to make them less predictable. The bottom rows are the roughened images.