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Experimental Mathematics Seminar

"Using Computational Algebra for Computer Vision"

Joe Kileel, Univ. of California, Berkeley

Location:  HILL 705
Date & time: Thursday, 20 April 2017 at 5:00PM -

Abstract: Scene reconstruction is a fundamental task in computer vision: given multiple images from different angles, create a 3D model of a world scene. Nowadays self-driving cars need to do 3D reconstruction in real-time, to navigate their surroundings. In this talk, we will explain how key subroutines in reconstruction algorithms amount to solving polynomial systems. We will quantify the "algebraic complexity" of systems that engineers have been hoping to solve quickly and reliably for some while. Our approach combines symbolic and numerical methods from computational algebra. Those wondering "if algebraic geometry is good for anything practical" are especially encouraged to attend.

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