The epipolar geometry between two uncalibrated views is completely encapsulated in the fundamental matrix. This paper presents analytic procedures for self-calibrating a perspective camera by decomposing the fundamental matrix into (partially) unknown intrinsic parameters and the camera motion under three conditions: (i) A camera with unknown and varying focal length undergoes general motion, (...

Multipoint polynomial evaluation and interpolation are fundamental for modern algebraic and numerical computing. The known algorithms solve both problems over any field of constants in nearly linear arithmetic time, but the cost grew to quadratic for numerical solution. We fix this discrepancy: our new numerical algorithms run in nearly linear arithmetic time. At first we restate our goals as t...

This paper is concerned with the solution of Linear Time Varying [LTV] control systems. The concept of a solution for LTV systems is defined on the basis of finding the fundamental matrix corresponding to LTV control systems. There are some numerical methods such as Euler method and Taylor method for obtaining approximate solution of LTV system [LTVs], each of them has some limitations. In the ...

in this paper, an iterative method is proposed for solving the matrix inverse problem $ax=b$ for hermitian-generalized hamiltonian matrices with a submatrix constraint. by this iterative method, for any initial matrix $a_0$, a solution $a^*$ can be obtained in finite iteration steps in the absence of roundoff errors, and the solution with least norm can be obtained by choosing a special kind of...

A theory of the analysis of strong stability of Hamiltonian systems with periodic coefficients is presented. It is based on the strong stability of fundamental solution evaluated at its period. However, the matrix solution being symplectic, this analysis leads to the search of strong stability of a symplectic matrix. A method for the determination of the monodromy matrix is given and an applica...

In this paper, we present the numerical solution of ordinary differential equations (or SDEs), from each order especially second-order with time-varying and Gaussian random coefficients. We indicate a complete analysis for second-order equations in special case of scalar linear second-order equations (damped harmonic oscillators with additive or multiplicative noises). Making stochastic differe...

Response of a transversely isotropic 3-D half-space subjected to a surface time-harmonic excitation is presented in analytical form. The derivation of the fundamental solutions expressed in terms of displacements is based on the prefect series of displacement potential functions that have been obtained in the companion paper by the authors. First the governing equations are uncoupled in the cyl...

In this paper, we propose a method of tracking a soccer player using multiple cameras. For tracking soccer players, occlusion is always the big problem and tracking is often failed when only a single camera is used to take the scene. Therefore, we use multiple view images for avoiding the occlusion problem, so that we can obtain robustness in player tracking. In our method, inner-camera operati...

The main objective of this work is to provide a closed formula for the forward, backward and symmetric solution of the 2-D general singular model (GSM) given in (Kurek, 1985). Of fundamental importance in our approach is the relative forward and backward fundamental matrix. Copyright c 2005 IFAC. Keywords: 2-D general singular models, implicit 2-D systems, fundamental matrix, forward solution, ...