2015/01/06 by Oeding, Luke
#13Pxx #14Qxx (Primary) #15A69 #15A72 #68T45 (Secondary) #Algebraic Geometry (math.AG) #Computer Vision and Pattern Recognition (cs.CV) #FOS: Computer and information sciences #FOS: Mathematics
paper · doi:10.48550/arxiv.1501.01266
Multi-view Geometry is reviewed from an Algebraic Geometry perspective and multi-focal tensors are constructed as equivariant projections of the Grassmannian. A connection to the principal minor assignment problem is made by considering several flatlander cameras. The ideal of the quadrifocal variety is computed up to degree 8 (and partially in degree 9) using the representations of GL(3)× 4 in the polynomial ring on the space of 3 × 3 × 3 × 3 tensors. Further representation-theoretic analysis gives a lower bound for the number of minimal generators.