منابع مشابه
The Quadrifocal Variety
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 6 using the representations of GL(3) in the polynomial ring on the spa...
متن کاملComputation of the Quadrifocal Tensor
This paper gives a practical and accurate algorithm for the computation of the quadrifocal tensor and extraction of camera matrices from it. Previous methods for using the quadrifocal tensor in projective scene reconstruction have not emphasized accuracy of the algorithm in conditions of noise. Methods given in this paper minimize algebraic error either through a non-iterative linear algorithm,...
متن کاملReal-time Quadrifocal Visual Odometry
This paper describes a new image-based approach to tracking the 6 degrees of freedom trajectory of a stereo camera pair using a corresponding reference image pair whilst simultaneously determining pixel matching between consecutive images in a sequence. A dense minimisation approach is employed which directly uses all grey-scale information available within the stereo pair (or stereo region) le...
متن کاملOn the Structure and Properties of the Quadrifocal Tensor
The quadrifocal tensor which connects image measurements along 4 views is not yet well understood as its counterparts the fundamental matrix and the trifocal tensor. This paper establishes the structure of the tensor as an \epipolehomography" pairing
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 2017
ISSN: 0024-3795
DOI: 10.1016/j.laa.2016.09.034