Is there a video of this in action? Pictures are not satisfying at all!

https://www.youtube.com/watch?v=EH8kZDc7OLk

https://sonyresearch.github.io/ace_public/

Am I correct in my understanding that- they had specialized software that not only tracked the ball, calculated spins using the logo, and fed calculated trajectories?

Yes, using nine specialized cameras. Still very impressive but the human is overmatched on equipment alone.