Terry Tao is the Erdos of this era - he was competing in the International Mathematics Olympiad when his peers were in middle school [1] and is now sort of the person to go to when your work has stalled [2]. It's ridiculous.
I'm going to make a claim: almost all mathematical "images" (2D graphical visualizations) are unexpected. This is because the set of expectations is most likely countable and the set of all mathematical images is not.
I have two questions
1) how important is Terry Tao and his group to compressed sensing?
2) I'm interested in signal processing and compressed sensing. How can I get into it with a math background instead of an EE background?
Edit sorry I posted this comment three times. I pushed the comment button on my phone and nothing happened so I assumed nothing happened