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Imaginary Straight Lines in Cartesian Coordinate System
Geometry & Graphics, 2020A geometric model of imaginary conjugate straight lines a~b, allowing symbolic representation of these lines on the real coordinate plane xy is considered. In order to connect the algebraic and geometric representations of imaginary straight lines, it is proposed to use the “mark” formed by orthogonal d1 ⊥ d2 and main g1~g2 directions of the elliptic ...
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PSO Based on Cartesian Coordinate System
2014In order to deal with the problems of the slow convergence and easily converging to local optima, a classification learning PSO is proposed based on hyperspherical coordinates. The method of determination of poor performance particle is presented, and the swarm is divided into three parts where three learning strategies are introduced to improve the ...
Yanmin Liu +3 more
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A Cartesian Coordinate Algorithm for Power System State Estimation
IEEE Transactions on Power Apparatus and Systems, 1983This paper presents a new steady-state estimator based on the Cartesian coordinate formulation of nodal and line flow equations and minimization of weighted least squares (WLS) of the residuals. The fact that the rectangular coordinate version of network Performance equations is completely expressible in a Taylor series and contains terms up to the ...
N. D. Rao, L. Roy
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Self-Tuning Manipulator Control in Cartesian Base Coordinate System
Journal of Dynamic Systems, Measurement, and Control, 1985A discrete-time stochastic model for the motion of a robotic manipulator system is introduced. The input vector consists of the voltages to the joint motors, and the output vector has the velocities (positions) of the gripper expressed in the world (xyz) coordinate system as the components.
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Crossing rules in Cartesian and standard coordinate systems
Journal of Mathematical Physics, 1986A vectorial and a tensorial crossing rule are defined in Cartesian coordinate systems. Different applications are given. With a particular choice of the standardization coefficient of vectors the same expression of dot and vector products in the standard and Cartesian coordinate systems results.
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Transformation of Coordinates between Cartesian Systems
2001It is often necessary to convert spatial data from one reference system to another. For example, when one has determined the positions of some points in a local rectangular grid system (see Chapter 2 for definitions of the various reference systems), the positions may be converted to a national grid system, or vice versa, for various reasons.
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Study on Gradation Fractal Cartesian Coordinate System of Asphalt Mixture
Advanced Materials Research, 2013In order to explore intrinsic relation of continuous, interlocked-dense and gap gradation, this paper studied them by fractal regression analysis, by which a gradation distribution Cartesian coordinate system was established and slope of the gradation was proposed at the same time.
Lin Ping Li +3 more
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Discretization of Macroscopic Transport Equations on Non-Cartesian Coordinate Systems
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, 2007We discuss discretization schemes for the Poisson equation, the isothermal drift-diffusion equations, and higher order moment equations derived from the Boltzmann transport equation for general coordinate systems. We briefly summarize the method of dimension reduction when the problem does not depend on one coordinate.
M. Spevak, T. Grasser
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Label System on Cartesian Coordinate by Using a Digital Camera
2010 International Conference on Internet Technology and Applications, 2010a novel image-based label system is proposed in this paper, we can convert the coordinate in image into Cartesian coordinate by using an image from a single CCD camera. This system could correspond arbitrary two points on the image convert to the actual distance no matter the digital camera is vertical to the measuring plane or not and the height of ...
Chin-Tun Chuang +3 more
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Studia Geophysica et Geodaetica, 1985
Relations for the direct transformation of the Cartesian coordinate system into a system of geodetic coordinates.
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Relations for the direct transformation of the Cartesian coordinate system into a system of geodetic coordinates.
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