The fundamental matrix and trifocal tensor are convenient algebraic representations of the epipolar geometry of two and three view configurations, respectively. The estimation of these entities is central to most reconstruction algorithms, and a solid understanding of their properties and constraints is therefore very important. The fundamental matrix has 1 internal constraint which is well und...

This paper proposes a novel technique for estimating the fundamental matrix by transforming the image points in projective space. We therefore only need to perform nonlinear optimization with one parameterization of the fundamental matrix, rather than considering 36 distinct parameterizations as in previous work. We also show how to preserve the characteristics of the data noise model from the ...

This paper deals with the study of conditioning for three-point boundary value problems associated with first order matrix Lyapunov systems, with the help of Kronecker product of matrices. Further, we obtain the close relationship between the stability bounds of the problem on one hand , and the growth behavior of the fundamental matrix solution on the other hand.

Various computer-vision applications involve estimation of multiple motions from images of dynamic scenes. The exact nature of 3D-object motions and the camera parameters are often not known a priori and therefore, the most general motion model (fundamental matrix) is applied. Although the estimation of fundamental matrix and its use for motion segmentation are established, the conditions for s...

We consider diierence equations y(s + 1) = A(s)y(s), where A(s) is an n n-matrix meromorphic in a neighborhood of 1 with det A(s) 6 6 0. In general, the formal fundamental solutions of this equation involve gamma-functions which give rise to the critical variable s log s and a level 1 +. We show that, under a mild condition, formal fundamental matrices of the equation can be summed uniquely to ...

The image points in two images satisfy epipolar constraint. However, not all sets of points satisfying epipolar constraint correspond to any real geometry because there can exist no cameras and scene points projecting to given image points such that all image points have positive depth. Using the cheirality theory due to Hartley and previous work on oriented projective geometry, we give necessa...

This paper addresses the computation of motion between two views when 3D structure is unknown but planar surfaces can be assumed. We use points which are automatically matched in two steps. The first one is based on image parameters and the second one is based on the geometric constraint introduced by computed homographies. When two or more planes are observed, corresponding homographies can be...

If you want to cite this report, please use the following reference instead: Automatic computation of the fundamental matrix from matched lines, Pellejero O. Abstract. This paper addresses the recovery of epipolar geometry using homographies computed automatically from matched lines between two views. We use lines because they have some advantages with respect to points, particularly in man mad...

In this paper we present an automatic hybrid matching system mixing images coming from central catadioptric systems and conventional cameras. We analyze three models of hybrid fundamental matrices. We perform experiments with synthetic and real data to test the behavior of these three approaches. The sensitivy to noise of lifted coordinates induces to select the simplest model to build an autom...

This paper examines the sequential and categorical features of team members' talk within multidisciplinary meetings. An examination of turn taking, topic management and extended sequences in team members' talk is carried out through the analysis of naturally occurring data. In addition, the observable means through whichùnderstanding' is socially accomplished as a recognisable feature of team m...