This paper discusses the problem of using feedback and coordinates transformation in order to transform a given nonlinear system with outputs into a controllable and observable linear one. We discuss separately the effect of change of coordinates and, successively, the effect of both change of coordinates and feedback transformation. One of the main results of the paper is to show what extra co...

The coordinates of the center of measured spots are nonlinearly transformed to get an optimal match between the transformed coordinates and the given coordinates of a reference pattern. The parameters of the transformation are determined by the minimum of a function of squared distances between all spots of the sample and of the reference pattern. The algorithm requires a priori defined corresp...

The space around us is represented not once but many times in parietal cortex. These multiple representations encode locations and objects of interest in several egocentric reference frames. Stimulus representations are transformed from the coordinates of receptor surfaces, such as the retina or the cochlea, into the coordinates of effectors, such as the eye, head, or hand. The transformation i...

A coordinate system forms a common frame of reference for the description of positions and on the other hand, coordinates are simply an ordered set of numbers that are used to describe the positions or features in a coordinate system (Featherstone and Vanicek, 1999). Transformation parameters are required to move from one system to another. In Nigeria, we have different coordinate systems based...

Mostly existing quantum image models represent image in Cartesian coordinates. Some complicated affine transformation can not be easily handled in Cartesian coordinates. In this paper, a new representation of Multi-Channel log-polar quantum image (MCLPQI) sampled in log-polar coordinates is proposed. This form contains the image RGB color information and transparency αof the corresponding pixel...

The non-orthogonal boundary-fitted coordinate transformation method is applied to the solution of steady three-dimensional conservation equations of mass, momentum, energy and speciescontinuity to obtain the laminar velocity, temperature and concentration fields for simulation of polymerization of styrene in arbitrary cross-sectional duct reactors. Variable physical properties (except for speci...

This paper is concerned with an application of the use of extra freedom in the coordinates transformation for exact linearizaion. We apply this technique to obstacle avoidance of a manipulator in the master-slave control. We show how to use the freedom for such an object and give the way to construct the linearizing coordinates transformation and feedback. Furthermore we evaluate the e ectivene...

We study the transformation of the statistical mechanics of N particles to the statistical mechanics of fields, that are the collective coordinates, describing the system. We give an explicit expression for the functional Fourier transform of the Jacobian of the transformation from particle to collective coordinate and derive the Fokker-Planck equation in terms of the collective coordinates. Si...