Critical sets for structure and motion recovery from images

Richard Hartley (RSISE, ANU)

MSI Computational Mathematics Seminar Series

DATE: 2008-05-05
TIME: 11:00:00 - 12:00:00
LOCATION: John Dedman G35
CONTACT: JavaScript must be enabled to display this email address.

ABSTRACT:
The structure and motion problem in Computer Vision is to compute the structure of a scene and the motion of a camera from a sequence of images. Given are a set of correspondences between points in the several images that derive from a common point in the scene. Under most conditions, this problem has a unique solution (up to an indeterminate projective transformation). For some configurations, however a finite or infinite set of inequivalent solutions exist. This talk will discuss the problem of determining all critical sets. We are led into the discussion of elliptic and algebraic quartic curves, Pascal's theorem and its generalization, and the group structure on the intersection curve of two quadric surfaces.

BIO:
http://users.rsise.anu.edu.au/~hartley/