Earlier quoted context omitted.
Because understanding is almost always easier than data collection and tool-building. Pure lack of understanding -- having all the data and having no idea what it means -- can keep a problem open for a generation or two. Einstein is famous because he solved a problem in EM physics that was at most 30 years old. Lack of data or meaningful investigative techniques can keep a subject crippled for centuries. Physics went…
I don't have as many examples but here is one. Galileo discovered his principle by conducting very simple experiments with no special tools or a lot of data collection. How do you find the relevant data or build relevant tools if you don't have a clue about what you are supposed to discover? What computer vision needs is mathematics, in my opinion. And math has nothing to do with "data collection and tool-building".…
I agree with you about the CV thing, though. We should talk sometime...