MATH Seminar

Title: Moduli spaces in computer vision
Colloquium: Algebra and Number Theory
Speaker: Max Lieblich of University of Washington
Contact: David Zureick-Brown, david.zureick-brown@emory.edu
Date: 2020-02-10 at 2:30PM
Venue: Mathematics and Science Center: MSC E208
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Abstract:
Moduli theory is one of the cornerstones of algebraic geometry. The underlying idea of the theory is that, given a class of mathematical objects, one can often find a universal space parametrizing those objects, and the geometry of this space gives us insight into the objects being parametrized. After introducing moduli theory with some basic classical examples, I will discuss recent applications to computer vision. As it turns out, the roots of computer vision are tightly intertwined with classical projective geometry. I will present the early history and basic geometric problems of computer vision, and then I will talk about how modern methods give us deeper insight into these problems, including new understandings of core algorithms that are used billions of times a day all over the planet.

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