In this paper, a new method is proposed to measure the distance from the camera to an object’s surface with arbitrary digital images. The method uses two images which are taken at two camera positions while moving the camera along its optical axis. The distance between the two camera positions is assumed to be known. The distance from the camera to the object is computed by calculating the rati...

in this paper, we introduce a family of fractional-order chebyshev functions based on the classical chebyshev polynomials. we calculate and derive the operational matrix of derivative of fractional order $gamma$ in the caputo sense using the fractional-order chebyshev functions. this matrix yields to low computational cost of numerical solution of fractional order differential equations to the ...

This paper presents a set of optimal filtering results for a class of kinematic systems with particular application to the estimation of linear quantities in Integrated Navigation Systems for mobile platforms. At the core of the proposed methodology there is a time varying orthogonal Lyapunov coordinate transformation that renders the overall system dynamics linear time invariant (LTI). The des...

In this paper, the development and implementation of a three-dimensional, numerical pollutant transport model, which is based on an orthogonal curvilinear coordinate system in the horizontal direction and a sigma coordinate system in the vertical direction, is delineated. An efficient as well as simple open boundary condition is employed for pollutant transport in this mathematical model. It is...

The paper presents a mathematical model and steady-state operational characteristics of a Unified Power Flow Controller (UPFC). The mathematical description is based on the transformation of a three-phase system into an orthogonal synchronously rotating coordinate system, in which, under steady-state conditions, all the system quantities are constant values. Thus, at given parameters, it is gen...

Optimizing over the set of orthogonal matrices is a central component in problems like sparse-PCA or tensor decomposition. Unfortunately, such optimization is hard since simple operations on orthogonal matrices easily break orthogonality, and correcting orthogonality usually costs a large amount of computation. Here we propose a framework for optimizing orthogonal matrices, that is the parallel...

Firstly, a nonlinear control system based on the Riemannian manifold is defined from perspective of holism, and expression system's state equation in local coordinate given. The geometric structure discussed. influence systems studied. controllability observability Secondly, using properties involute distribution fully geodesic submanifolds, parts manifolds are Controllable structured decomposi...