...but I don't have the slightest clue what they mean, and I've certainly dabbled in FFT and spectrogram and wavelet work, on top of a lot IPA vowel work, but I'm missing the why behind the formulas given and I'm missing how these plots are supposed to relate to frequencies visually.
A spectrogram of someone pronouncing vowels is extremely straightforward. Recognizing patterns of formants in spectrograms is quite simple.
So what is this trying to reveal that spectrograms don't? Besides that, what are the axes? Why are these circular or presumably polar? Why are they spiky? Why the particular blue/red bandpass filter? And what does autocorrelation have to do with vowels?
I'm not sure I've ever found myself so mystified by something I feel like I should have the background to understand quite easily.
If they're just supposed to be works of art then that's cool. But the title "visual morphology of vowels" seems like the plots are intended to reveal some kind of link between frequencies and the shape of the mouth maybe? But the example images aren't even labeled by which vowel they represent so I'm just baffled.