We address the problem of using external rotation information together with uncalibrated video sequences for improved calibration and 3Dreconstruction. It is shown that with a combination of a linear and a statistical approach a full calibration of the cameras can be computed from the fundamental matrices and the rotation data alone. The statistical calibration exploits some common constraints ...

Reconstruction of 3D space from 2D images is generally a \2-view" problem. That is, the algebra and geometry of the problem is all contained in measurements across two views, the rest (i.e., when more than two views are available) is statistics. This paper embarks on the investigation of the algebra and geometry of three views. Based on the recent result 18] showing the existence of certain tri...

Disease candidate gene prioritization addresses the association of novel genes with disease susceptibility or progression. Networkbased approaches explore the connectivity properties of biological networks to compute an association score between candidate and diseaserelated genes. Although several methods have been proposed to date, a number of concerns arise: (i) most networks used rely exclus...

In this paper we introduce a general class of level dependent Quasi-Birth-and-Death (QBD) processes and their stationary solution. We obtain the complete characterization of their fundamental matrices in terms of minimal non-negative solution of number of matrix quadratic equations. Our results will provide mixed-geometric solution for the stationary solution of level dependent chains. Applicat...

In this note we study the connection between the existence of a projective reconstruction and the existence of a fundamental matrix satisfying the epipolar constraints.

when A is a continuous periodic n× n matrix function of t; i.e., when there is a constant T > 0 such that A(t + T ) = A(t) for every t ∈ R. When that condition is satisfied, we say, more precisely, that A is T -periodic. If T is the smallest positive number for which this condition holds, we say that T is the minimal period of A. Let A be T -periodic, and let X(t) be a fundamental matrix for (1...

In this paper we will consider a combination of the RANSAC algorithm and the Hough transform for fast model estimation under the presence of outliers. The model will be computed by sampling a smaller than minimal subset, followed by a voting process of the remaining data. In order to use the combined method for this purpose, an adequate parameterization of the model in the Hough space is requir...

The fundamental matrix solution of the quantum Knizhnik-Zamolodchikov equation associated with Uq(ŝl2) is constructed for |q| = 1. The formula for its determinant is given in terms of the double sine function.

In this work we address the problem of projective reconstruction from multiple views with missing data. Factorization based algorithms require point correspondences across all the views. In many applications this is an unrealistic assumption. Current methods that solve the problem of projective reconstruction with missing data require correspondence information across triplets of images. We pro...

The paper is devoted to the question whether some kind of additional information makes it possible to determine the fundamental matrix of variational equations in 3 . An application concerning computation of a derivative of a scalar Poincaré mapping is given.