Jesse Louks-Tavitas: Math Colloquium
Room 103, Darwin Hall
4:00 pm
Lights, Camera, Algebra! The Mathematics of Computer Vision. Algebraic vision, lying in the intersection of computer vision and projective geometry, is the study of 3D objects being photographed by multiple cameras. Two natural questions arise: (1) Given a 3D object and multiple images of it, can we determine the relative camera positions? And, (2) given multiple images as well as relative camera locations, can we reconstruct the object being photographed? Carlsson and Weinshall showed in 1998 that the algorithms to solve these problems are intrinsically connected. A beneficial corollary of recent joint work with Erin Connelly and Timothy Duff is a formalization of this “duality” mechanism. In order to provide a deeper understanding of these results, along with Carlsson-Weinshall’s duality, we will detour into projective geometry, Renaissance art, and principles of duality in mathematics before discussing any theorems. Open to all students, faculty, and community members. For any questions or accommodations, please email [email protected]