We present a general approach and analytical method for determining a search region for use in guided matching under projective mappings. Our approach is based on the propagation of covariance through a first-order approximation of the error model to define the boundary of the search region for a specified probability and we provide an analytical expression for the Jacobian matrix used in the c...

This paper describes a comparative study of performance between the estimated image Jacobian that come from taking into account the geometry epipolar of a system of two cameras, and the well known analytic image Jacobian that is utilized for most applications in visual servoing. Image Based Visual Servoing architecture is used for controlling a 3 d.o.f. articular system using two cameras in eye...

This paper describes a innovative algorithm for the on-line estimation of the image jacobian based on previous movements. It has been utilized for the tracking of an uncalibrated 3 DOF joint system, using two weakly calibrated fixed cameras. The algorithm incorporates the epipolar restriction of the two cameras conveyed in the fundamental matrix, and a reliability factor has been defined for th...

We present a geometric approach to 3D motion segmentation of multiple moving objects seen in two perspective views. Our approach is based on the multibody epipolar constraint and its associated multibody fundamental matrix, which are generalizations of the epipolar constraint and of the fundamental matrix to multiple moving objects. We show how to linearly solve for the multibody fundamental ma...

connective tissue consists of cells separated by the extracellular matrix, whose composition and amount vary according to age, to functional requirements, and to the presence of pathologic conditions. within this non-random macromolecular assembly, collagens, elastin, proteoglycans and structural glycoproteins are mutually interdependent and modifications of one component, by extrinsic (environ...

Abstract. The procedure of solving the system of the Navier-Stokes equations is proposed. The initial conditions: the velocity divergence (dilatation) being zero and the temperature being the known function, the initial density being constant. The problem is set in the infinite space. The solution of the Navier-Stokes equations was reduced to the solution of integral equations of the Volterra t...

A new method, the biepipole constraint algorithm, is developed to estimate the fundamental matrix (F-matrix) based on an 8-parameter model and the geometrical analysis. First, through the analysis of the new constraints, the four parameters of the F-matrix can be estimated by solving a nonlinear unconstraint optimization problem. The objective function of the optimization problem is an equation...