This paper reformulates image-based visual ser-voing as a constraint-based robot task, in order to integrate it seamlessly with other task constraints in image space, in Cartesian space, in the joint space of the robot, or in the " image space " of any other sensor (e. g. force, distance). This approach allows us to fuse various kinds of sensor data. The integration takes place via the specific...

Fermi coordinates (FC) are supposed to be the natural extension of Cartesian coordinates for an arbitrary moving observer in curved space-time. Since their construction cannot be done on the whole space and even not in the whole past of the observer we examine which construction principles are responsible for this effect and how they may be modified. One proposal for a modification is made and ...

This study is concerned with the numerical analysis, formulation, programming and computation of steady, 3D conservation equations of reacting laminar flow heat and mass transfer in ducts of arbitrary cross-sections. The non-orthogonal boundary-fitted coordinate transformation method is applied to the Cartesian form of overall-continuity, momenta, energy and species-continuity equations, parabo...

During goal-directed reaching in primates, a sensorimotor transformation generates a dynamical pattern of muscle activation. Within the context of this sensorimotor transformation, a fundamental question concerns the coordinate systems in which individual cells in the primary motor cortex (MI) encode movement direction. This article develops a mathematical framework that computes, as a function...

Abstract The BeiDou Navigation Satellite System (BDS) is essentially a precise time measurement and synchronization system for large-scale space near the Earth. General relativity basic theoretical framework information processing in master control station of BDS. Having introduced conceptions relativistic space–time reference systems, references BDS are analyzed function acquisition method Ear...

The study of reaction-diffusion processes is much more complicated on general curved surfaces than on standard Cartesian coordinate spaces. Here we show how to formulate and solve systems of reaction-diffusion equations on surfaces in an extremely simple way, using only the standard Cartesian form of differential operators, and a discrete unorganized point set to represent the surface. Our meth...

Solving the problem of continuum mechanics has revealed defining generalizations using function argument method. The aim this study was to devise new approaches solving problems in Cartesian coordinate system. Additional functions, or coordinates deformation site, are introduced into consideration. carriers proposed arguments should be basic dependences that satisfy boundary edge conditions, as...

The aim of this study is to analyze lunar trajectories with the optimal junction point geocentric and selenocentric segments. major motivation research answer two questions: (1) how much trajectory segments at libration between Earth Moon non-optimal? (2) can be improved by optimizing segments? formulation end-to-end optimization problem power-limited a description method its solution are given...