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Journal articles on the topic 'Coordinate system'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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1

Lei, Kin, Dongxu Qi, and Xiaolin Tian. "A New Coordinate System for Constructing Spherical Grid Systems." Applied Sciences 10, no. 2 (2020): 655. http://dx.doi.org/10.3390/app10020655.

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In astronomy, physics, climate modeling, geoscience, planetary science, and many other disciplines, the mass of data often comes from spherical sampling. Therefore, establishing an efficient and distortion-free representation of spherical data is essential. This paper introduces a novel spherical (global) coordinate system that is free of singularity. Contrary to classical coordinates, such as Cartesian or spherical polar systems, the proposed coordinate system is naturally defined on the spherical surface. The basic idea of this coordinate system originated from the classical planar barycentr

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Shrestha, Kalyan Gopal. "An Approach to Determine Coordinate Transformation Parameter for Nepal GPS Network." Journal on Geoinformatics, Nepal 10 (June 30, 2011): 9–13. http://dx.doi.org/10.3126/njg.v10i0.23187.

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The Surveying and Mapping community now has the benefit of 3-dimensional coordinates at the centimeter level, through the Global Positioning System (GPS). The reference frame for GPS, World Geodetic System of 1984 (WGS84), within which a user ascertains these coordinates is essentially geocentric. All coordinated data and mapping in Nepal are based on a non-geocentric coordinate system known as the Everest Datum of 1830. This paper tries to present a practical approach to define transformation parameters between the two coordinate systems for Nepal.

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Zhang, X., J. Zhang, L. Zhang, and J. Liu. "ANALYSIS OF COMMON QUALITY PROBLEMS IN COORDINATE TRANSFORMATION BETWEEN REFERENCE COORDINATE SYSTEM AND GEOCENTRIC COORDINATE SYSTEM." ISPRS - International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences XLII-2/W13 (June 5, 2019): 1281–86. http://dx.doi.org/10.5194/isprs-archives-xlii-2-w13-1281-2019.

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<p><strong>Abstract.</strong> In the working of the existing reference coordinate system transformed into the coordinate system of the geocentric coordinate system, many experts and scholars have in-depth research on the transformation methods such as geodetic control point results (including GNSS base station coordinates, GNSS control point coordinates, triangle point coordinates), basic geographic information data results (including DLG, DOM, DEM, DRG, DSM, etc.) and other spatial information data. On the basis of these studies, many provinces and cities have completed the

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4

Romanenko, A. "Theoretical foundations of point cloud coordinate system transformation." Collection of Research Papers of the National Mining University 74 (September 2023): 46–57. http://dx.doi.org/10.33271/crpnmu/74.046.

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Purpose. To provide theoretical foundations and develop mathematical models for the efficient transformation of coordinate systems for point clouds in geophysical research; the scientific analysis is aimed at developing algorithms and establishing necessary dependencies for the reliable integration of data obtained at different time points into a unified coordinate system, opening up prospects for further study and analysis of processes in geophysical research. The methods.The calculation is carried out using the following steps. Determination of known coordinates of four points (x1', y1', z1'

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Vinogradov, A. V. "Establishment of local coordinate systems in the transition to the geodetic system of coordinates of GSK-2011." Geodesy and Cartography 929, no. 11 (2017): 2–10. http://dx.doi.org/10.22389/0016-7126-2017-929-11-2-10.

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Pretty before long there will be transition to the geodetic system of coordinates of GSK-2011. For the transition period it is necessary to develop a method of recalculating coordinates from one system to another. The existing methods of recalculating coordinates are designed for recalculating coordinate points of state geodetic networks (GGS) and geodetic local networks (GSS). For small areas (administrative districts, populated areas) simplified methods are more acceptable. You need to choose the resampling methods that can be applied in small businesses, performing surveying works. The arti

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Shanurov, G. A., and A. D. Manilova. "Mobile scanning complex positioning accuracy depending on the coordinate systems used." Geodesy and Cartography 919, no. 1 (2017): 13–17. http://dx.doi.org/10.22389/0016-7126-2017-919-1-13-17.

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Inertial coordinate system and geodetic (terrestrial) coordinate system are used in processing of results of topographic survey, carried out with a mobile scanning complex. Mobile scanning complex geodetic coordinates, in turn, are presented in geodetic three-dimensional rectangular coordinate system form, in geodetic ellipsoidal coordinate system form and in the form of coordinates on a geodetic projection plane. The results of research, carried out earlier [4–7], suggest that the coordinate transformation on large areas distorts geodetic points coordinates. The article presents the results o

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Zhao, Yun Peng, and Nan Li. "Research on Coordinate System Transformation in Flexible Rope FEA." Advanced Materials Research 753-755 (August 2013): 1785–89. http://dx.doi.org/10.4028/www.scientific.net/amr.753-755.1785.

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This paper focuses on the transform relationships between each element and between elements with inertial system under different attitude coordinate system in the finite element multi-body system mechanical analysis of the flexible rope process. It mainly research the attitude coordinate transformation matrix between the of flexible rope Micro-element and inertial system under the four coordinate system which are the direction cosine coordinates, finite rotation four element coordinates, Euler angle coordinate and Cardan angle coordinates, and the relationship between the connecting base on th

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Song, Sha Jia, and Neng He. "Digital Image Processing and Coordinate Transformation for Vic-3D System." Applied Mechanics and Materials 333-335 (July 2013): 1002–6. http://dx.doi.org/10.4028/www.scientific.net/amm.333-335.1002.

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This paper discusses the problem about the processing of the images collected by Vic-3D measurement system and the coordinate transformation between the pixel coordinate and plane coordinate. Correlation analysis on image information is carried out by using Matlab. Template matching method is used to get the pixel coordinates of the marked part on the images. Based on affine transformation and least square method, I transform the pixel coordinates of the marked part on the images into the plane coordinates.

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9

Meng, Qing Wu, and Lu Meng. "Influencing of Coordinate Transformation on Based CGCS2000 on Topographic Map with Large Scales." Applied Mechanics and Materials 522-524 (February 2014): 1207–10. http://dx.doi.org/10.4028/www.scientific.net/amm.522-524.1207.

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Using three dimensional coordinate transformation model with 7 parameters the coordinate transformation parameters are solved. Comparing the coordinates of the kilometer grid point on topographic maps in Beijing54, Xian80 and Urban Independent Coordinate System with the observation coordinates of same point inCGCS2000, Through watching their coordinate changes the moving changes regularity on topographic maps are discovered between Beijing54 and CGCS2000, between Xian 80 and CGCS2000, Urban Independent Coordinate System and CGCS2000

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Rudnicki, Mark, and Thomas H. Meyer. "Methods to Convert Local Sampling Coordinates into Geographic Information System/Global Positioning Systems (GIS/GPS)–Compatible Coordinate Systems." Northern Journal of Applied Forestry 24, no. 3 (2007): 233–38. http://dx.doi.org/10.1093/njaf/24.3.233.

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Abstract Laying out a sampling transect in the field is a common task when researching natural systems and resources. With widespread availability of global navigation satellite systems (GNSS), such as the US global positioning system (GPS), it is becoming more common to resurvey legacy transects to establish them in globally referenced coordinate systems such as geodetic latitude/longitude or planimetric systems such as the Universal Transverse Mercator (UTM) or the State Plane Coordinate System (SPCS). Transforming local coordinates into a globally referenced coordinate system allows (1) dis

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Karpinskyi, Yurii, Danylo Kin, Ihor Kuryliak, and Nikita Rotachov. "METHOD TRANSFORMATION OF COORDINATES FROM THE ARCHIVE SYSTEM (VARASH-42) TO THE CURRENT SYSTEM (LCS-56) USING QGIS." Urban development and spatial planning, no. 86 (May 31, 2024): 397–410. http://dx.doi.org/10.32347/2076-815x.2024.86.397-410.

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This article proposes a technique for transforming coordinates from an archival coordinate system into an active one using affine transformation using the finite element method in the QGIS geoinformation environment using a transformation field in the NTv2 format. The purpose of the work is to develop a method of transforming coordinates from the archival system into the one operating in Ukraine using the GRID model of the transformation field in the form of NTv2 format and QGIS software using the example of the Varash-42 coordinate system, derived from CS-42, and LCS-56, derived from UCS-2000

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Zhang, Ke Wei, and Yun Qing Zhang. "Self-Adaptation of Natural-Coordinate System." Applied Mechanics and Materials 367 (August 2013): 286–91. http://dx.doi.org/10.4028/www.scientific.net/amm.367.286.

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A self-adaptation method for natural-coordinate systems is proposed, in order to automate the selection of natural coordinates for each rigid element of a multibody system. The four-step method includes: First, find out all empty positions, which come from the feature points or vectors of the joints attached to the element, and give equal weight to them; second, delete redundant empty positions and add their weight to the unique one; third, select at most four empty positions which have a maximum total weight and can be occupied by a natural-coordinate system at the same time; fourth, the stan

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Lu, Xiaohong, Yongquan Wang, Jie Li, Yang Zhou, Zongjin Ren, and Steven Y. Liang. "Three-dimensional coordinate measurement algorithm by optimizing BP neural network based on GA." Engineering Computations 36, no. 6 (2019): 2066–83. http://dx.doi.org/10.1108/ec-09-2018-0410.

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Purpose The purpose of this paper is to solve the problem that the analytic solution model of spatial three-dimensional coordinate measuring system based on dual-position sensitive detector (PSD) is complex and its precision is not high. Design/methodology/approach A new three-dimensional coordinate measurement algorithm by optimizing back propagation (BP) neural network based on genetic algorithm (GA) is proposed. The mapping relation between three-dimensional coordinates of space points in the world coordinate system and light spot coordinates formed on dual-PSD has been built and applied to

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14

Wu, Shuai. "A Method for Calculating the Band Change of Gauss Projection Coordinates." Academic Journal of Science and Technology 5, no. 1 (2023): 263–68. http://dx.doi.org/10.54097/ajst.v5i1.5662.

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In geodesy, many surveying projects are carried out on the plane, which requires the transformation of geodetic coordinates, the element on the ellipsoid, into plane coordinates, and each independent coordinate system has new contradictions due to zoning. Based on the basic geometric parameters and the mathematical description of the earth ellipsoid, this paper introduces the principle of Gauss projection method. Since Gauss Krueger projection is currently used in China, this paper introduces the principle and method of Gauss projection, and deduces the correlation between the Gauss plane coor

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15

Nagy, Benedek, and Khaled Abuhmaidan. "A Continuous Coordinate System for the Plane by Triangular Symmetry." Symmetry 11, no. 2 (2019): 191. http://dx.doi.org/10.3390/sym11020191.

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The concept of the grid is broadly used in digital geometry and other fields of computer science. It consists of discrete points with integer coordinates. Coordinate systems are essential for making grids easy to use. Up to now, for the triangular grid, only discrete coordinate systems have been investigated. These have limited capabilities for some image-processing applications, including transformations like rotations or interpolation. In this paper, we introduce the continuous triangular coordinate system as an extension of the discrete triangular and hexagonal coordinate systems. The new s

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Y. Hussain, Ruba. "COORDINATE TRANSFORMATION FROM KARBALA 1979 AND WORLD GEODETIC SYSTEM 1984 TO IRAQI GEOSPATIAL REFERENCE SYSTEM." Journal of Engineering and Sustainable Development 26, no. 3 (2022): 73–83. http://dx.doi.org/10.31272/jeasd.26.3.8.

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Nowadays, the transformation between coordinate systems is the major interested problems especially in Iraq. There are many coordinate systems used to produce maps and documentations due to different datums and spheroids. These coordinate systems are preferable to be unified in local countries. Thus, this paper deals with the transformation of coordinate systems of Karbala 1979 Polservice and World Geodetic System (WGS) 1984 to Iraqi Geospatial Reference System (IGRS). Accurate and well distributed control points are selected to cover the study area in Baghdad city, Iraq. Coordinate transforma

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Johannes, Jacobus Myburgh, and Johannes Luwes Nicolaas. "Optimised coordinate generation for Arduino-based focus and motion control system for deployment in time-lapse photography." TELKOMNIKA (Telecommunication, Computing, Electronics and Control) 21, no. 2 (2023): 431–40. https://doi.org/10.12928/telkomnika.v21i2.22198.

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This paper demonstrated the design and implementation of a unique algorithm used to generate interim coordinates for focus transitions in time-lapse photography. Through a prototype design methodology, the unique algorithm was developed to function within the limitations imposed by a low-cost 8-bit microcontroller for the development of a cost-effective focus and motion control system for deployment in photographic higher education. Through conceptualization and virtualization in MathLab and comparison with values generated in simulated real-world use-case, the proposed algorithm was test

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Dyatko, A. A., S. M. Kostromitsky, and P. N. Shumski. "Development and modeling of algorithms for calculating target angle in the coordinate system of the onboard radar." Proceedings of the National Academy of Sciences of Belarus. Physical-technical series 69, no. 2 (2024): 129–38. http://dx.doi.org/10.29235/1561-8358-2024-69-2-129-138.

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The article is devoted to the development of algorithms for calculating the target angle in the coordinate system of an onboard radar and modeling their operation. To construct an algorithm for calculating the target angle, a fixed terrestrial coordinate system and a moving coordinate system of an onboard radar are used. Expressions are presented for recalculating the Cartesian coordinates of an object from the earth coordinate system to the on-board radar coordinate system. The concept of azimuth and elevation planes is introduced for the coordinate system of an onboard radar. Algorithms for

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Obidenko, V. I. "The methodology of geodetic supporting Russian Federation digital economy." Geodesy and Cartography 954, no. 12 (2020): 42–55. http://dx.doi.org/10.22389/0016-7126-2019-954-12-42-55.

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In the article the researches on developing modern methodology of supporting the national program “Digital economy of the Russian Federation” with geospatial data and, first of all, its base component, the systems of coordinate support are presented. As the main sentences of upgrading coordinate support it is offered to pass to kinematic model of evolution of coordinates in the state coordinate system GSK-2011 completely. The coordinates in this model are to be given to the consumer not on some separate instants (an initial epoch of installation of a coordinate system, an epoch of the last adj

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Schenyavskaya, Lyudmila, Grittel' Shevchenko, and Polina Kovalenko. "Development of a methodology for determining the parameters of the transformation of coordinate systems based on the first-order nonlinear programming method when accompanying the construction of buildings and structures." Proceedings of Petersburg Transport University 21, no. 1 (2024): 47–60. http://dx.doi.org/10.20295/1815-588x-2024-01-47-60.

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Objective: to analyze the advantages and disadvantages of existing nonlinear programming methods for solving problems of coordinate system transformation (SC). To consider the need to convert the coordinates of points from local SC to urban. To determine the possibility of using the generalized reduced gradient method to transform the coordinates of points located both at a distance between points of about 150 m and at a distance of about 1.5 km. Methods: the theoretical foundations of this method are revealed. Information is provided on the procedure for performing transformations of coordina

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Čomić, Lidija, and Benedek Nagy. "A topological coordinate system for the diamond cubic grid." Acta Crystallographica Section A Foundations and Advances 72, no. 5 (2016): 570–81. http://dx.doi.org/10.1107/s2053273316011700.

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Topological coordinate systems are used to address all cells of abstract cell complexes. In this paper, a topological coordinate system for cells in the diamond cubic grid is presented and some of its properties are detailed. Four dependent coordinates are used to address the voxels (triakis truncated tetrahedra), their faces (hexagons and triangles), their edges and the points at their corners. Boundary and co-boundary relations, as well as adjacency relations between the cells, can easily be captured by the coordinate values. Thus, this coordinate system is apt for implementation in various

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Dong, Guo Jun, Cheng Shun Han, and Shen Dong. "Solution for Best Fitting Spherical Curvature Radius and Asphericity of Off-Axis Aspherics of Optical Aspheric Surface Component." Key Engineering Materials 364-366 (December 2007): 499–503. http://dx.doi.org/10.4028/www.scientific.net/kem.364-366.499.

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This study aimed to establish the coordinate transformation between the off-axis aspherics coordinate system σ and the axial symmetry aspherics coordinate system σ by transforming coordinates and present the computation models of asphericity in rectangular coordinate system and cylindrical coordinate system respectively. The asphericity expressions in both coordinate systems were applicable to the comparative sphere calculation of Off-axis aspherics with different figures. We selected an Initiation sphere in view of technology, along with equations in a right coordinate system for certain cali

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Luo, Huadong, Jun Yan, Haifeng Ling, et al. "Research on target location of unmanned aerial vehicles in parallel path." MATEC Web of Conferences 309 (2020): 04002. http://dx.doi.org/10.1051/matecconf/202030904002.

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This paper mainly studies how to use the stereo vision system that combines the monocular vision with parallel path search to locate the target. When the unmanned aerial vehicle (UAV) searches in the mission area according to the parallel path, the SSD image detection algorithm based on deep learning is adopted to detect and identify the target in the area. The image coordinate information is inversely calculated by using the pixel coordinate information fed back by machine vision. The auxiliary coordinate system is established according to the relationship of angle position between the track

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Bobkov, Valery, Alexey Kudryashov, and Alexander Inzartsev. "Method for the Coordination of Referencing of Autonomous Underwater Vehicles to Man-Made Objects Using Stereo Images." Journal of Marine Science and Engineering 9, no. 9 (2021): 1038. http://dx.doi.org/10.3390/jmse9091038.

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The use of an autonomous underwater vehicle (AUV) to inspect underwater industrial infrastructure requires the precise, coordinated movement of the AUV relative to subsea objects. One significant underwater infrastructure system is the subsea production system (SPS), which includes wells for oil and gas production, located on the seabed. The present paper suggests a method for the accurate navigation of AUVs in a distributed SPS to coordinate space using video information. This method is based on the object recognition and computation of the AUV coordinate references to SPS objects. Stable hig

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Rodríguez, E., W. Sengupta, and A. Bhattacharjee. "Generalized Boozer coordinates: A natural coordinate system for quasisymmetry." Physics of Plasmas 28, no. 9 (2021): 092510. http://dx.doi.org/10.1063/5.0060115.

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Karimi, Parvaneh, and Sergey Fomel. "Stratigraphic coordinates: a coordinate system tailored to seismic interpretation." Geophysical Prospecting 63, no. 5 (2015): 1246–55. http://dx.doi.org/10.1111/1365-2478.12224.

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Peruansky, S. S. "On the Definition of an “Inertial Coordinate System”." Symposium - International Astronomical Union 141 (1990): 95. http://dx.doi.org/10.1017/s007418090008640x.

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Astrometry is a branch of science which develops methods for the quantitative descriptions of places and time instants of astronomical events on the basis of observations of celestial bodies. For this purpose a theoretical coordinate system is introduced (e.g. equatorial a, α, δ). The aim of astrometry is to apply this system to the observed reference objects (stars, planets etc.) so that their coordinates α(t), δ(t) can be calculated according to the relations α(t) =f1(Pk, t-to) and δ(t) =f2(Pk, t-to) where Pk are parameters, to is the conventional time instant and t is the current time. In o

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Ryan, James W., and W. E. Himwich. "Toward a unified terrestrial coordinate system." Symposium - International Astronomical Union 128 (1988): 121–29. http://dx.doi.org/10.1017/s0074180900119382.

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In order to obtain coordinate transformations between our CDP-VLBI terrestrial coordinate frame and the corresponding frames used by the Goddard Space Flight Center SLR group, the University of Texas Center for Space Research SLR group, and Deep Space Network, we obtained geocentric, Cartesian coordinates and formal errors of five locations in our system and those of the two SLR groups, and of three locations in our system and that of the Deep Space Network. After transformation we found that both SLR coordinate sets agree at the 20 to 30 mm level with our values. The Deep Space Network values

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MUKA, Gafur. "About the use of the coordinate transfer from the local system to the official coordinate system and vice versa (Bulqiza mine as a case study)." Ingenious 2, no. 1 (2022): 76–83. http://dx.doi.org/10.58944/xbdw8881.

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The chrome mine in Bulqiza has been exploited since 1948. The exploitation of the mine required the creation of a graphic documentation in which all the constructions of the mine are visualized. The visualization is created in three planes (horizontal, vertical and in profile) and initially referred to a local coordinate system. Although the Bulqiza mine was connected to the official coordinate system (Gauss-Kryger system at that time) in 1972, the application of the system continued due to the large amount of work required to convert from the local coordinate system to the official system (GK

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Idrizi, Bashkim. "Harmonization of different type of coordinate systems used for North Macedonian official spatial data." Proceedings of the ICA 2 (July 10, 2019): 1–6. http://dx.doi.org/10.5194/ica-proc-2-46-2019.

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<p><strong>Abstract.</strong> From the beginning of developing vector data sets in Macedonia, till now, three type of coordinate values for North Macedonian spatial data have been used.</p><p>Law for real estate cadaster and Regulation for basic geodetic works are the official legal bases for definition of official state coordinate system. In both legal documents, state coordinate system is defined by Ellipsoid of Bessel 1841, Datum of Hermannskogel, and Gauss-Kruger projection with central meridian 21&amp;deg;&amp;thinsp;E, scale factor 0.9999, false east

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Brumberg, V. A. "Relativistic Aspects of Reference Systems and Time Scales." Highlights of Astronomy 9 (1992): 133–39. http://dx.doi.org/10.1017/s1539299600008856.

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Mindful of the fact that any time and space coordinates of General Relativity Theory (GRT) are not, in general, physically meaningful and measurable quantities, one may choose between three possibilities in applying GRT to ephemeris astronomy: 1)avoid coordinates completely, i.e., construct coordinate-independent theories of light propagation and solar system body motion involving the removal of all coordinate-dependent quantities from the present system of astronomical constants;2)use any coordinate system to describe observational procedures and to solve dynamics problems, provided that one

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Платонова, Marina Platonova, Драпалюк, Mikhail Drapalyuk, Платонов, and Aleksey Platonov. "Justification of kinematic scheme small of the manipulator forestry machines." Forestry Engineering Journal 5, no. 3 (2015): 234–39. http://dx.doi.org/10.12737/14652.

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This article discusses the the selection and justification of the reference system and of the generalized coordinates for the kinematic scheme developed by of the manipulator taking into account these factors. The absolute (inertial) coordinate system associated with the center of the support member (eg turntable), joins the arm to the base machine and the subsequent coordinate system formed in accordance with the rules. On the whole, to describe the position of the investigated little detail of the manipulator in the space of generalized coordinates must be four and five right-hand orthogonal

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DUKE, DENNIS W. "Hipparchus' Coordinate System." Archive for History of Exact Sciences 56, no. 5 (2002): 427–33. http://dx.doi.org/10.1007/s004070200050.

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Zalutsky, V. T. "Refinement of transformation algorithms for the transitions between state coordinate system and cities local coordinate system." Geodesy and Cartography 927, no. 9 (2017): 2–7. http://dx.doi.org/10.22389/0016-7126-2017-927-9-2-7.

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Some improvements of the coordinates transformation algorithms, related with application of the cartographic plane coordinates in the Russia’s state coordinate system(SCS) and local coordinate systems of the cites(LCSC), are presented in the article. A comparative analysis of the cited sources allowed to eliminate discovered misspells. After corrections, the formulae were revised using a common logic of transformation and notation system. As a result the author obtained three groups of equivalent transformation algorithms, they implement the «direct» (from SCS to LCSC) and «inverse» (from LCSC

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Liu, Chun Feng, Shan Shan Kong, and Hai Ming Wu. "Research on a Single Camera Location Model and its Application." Applied Mechanics and Materials 50-51 (February 2011): 468–72. http://dx.doi.org/10.4028/www.scientific.net/amm.50-51.468.

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Digital cameras have been widely used in the areas of road transportation, railway transportation as well as security system. To address the position of digital camera in these fields this paper proposed a geometry calibration method based on feature point extraction of arbitrary target. Under the meaning of the questions, this paper first defines four kinds of coordinate system, that is the world coordinate system. The camera's optical center of the coordinate system is the camera coordinate system, using the same point in different coordinate system of the coordinate transformation to determ

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ZHU, EN, JIAN-PING YIN, GUO-MIN ZHANG, and CHUN-FENG HU. "FINGERPRINT MINUTIAE RELATIONSHIP REPRESENTATION AND MATCHING BASED ON CURVE COORDINATE SYSTEM." International Journal of Image and Graphics 05, no. 04 (2005): 729–44. http://dx.doi.org/10.1142/s0219467805001987.

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A minutiae relationship representation and matching method based on curve coordinate system is proposed. For each minutia, a curve coordinate system is established, and the coordinates of other minutiae in this coordinate system is computed. Thus, the coordinate relationship between each pair of minutiae can be evaluated. These relationships are used for pairing minutiae between the template fingerprint and the query fingerprint by means of transferring reference minutiae. The algorithm is tested on FVC2004DBs which include many highly distorted fingerprints. Results have shown that the propos

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Nesnov, Dmitriy. "Area of correct space coordination by normal conic coordinates." Geometry & Graphics 11, no. 3 (2023): 3–11. http://dx.doi.org/10.12737/2308-4898-2023-11-3-3-11.

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The field theory is widely represented in spherical and cylindrical coordinate systems, since the mathematical apparatus of these coordinate systems is well studied. Field sources with more complex structures require new approaches to their study. The purpose of this study is to determine the correct coordination of space by normal conic coordinates. This is necessary in subsequent studies, the task of which will be to simplify the expressions for the characteristics of the field by introducing a special coordination of space, which reflect the shape of the source and/or sink of the field. For

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Alexandrov, Sergei, Elena Lyamina, and Prashant Date. "A Method of Calculating Principal Stress Trajectories in Powder and Porous Materials Obeying a Piece-wise Linear Yield Criterion." MATEC Web of Conferences 220 (2018): 01002. http://dx.doi.org/10.1051/matecconf/201822001002.

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The present paper deals with the system of equations comprising the pyramid yield criterion together with the stress equilibrium equations under plane strain conditions. The stress equilibrium equations are written relative to a coordinate system in which the coordinate curves coincide with the trajectories of the principal stress directions. The general solution of the system is found giving a relation connecting the two scale factors for the coordinate curves. This relation is used for developing a method for finding the mapping between the principal lines and Cartesian coordinates with the

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Han, Qiang, Jian Fei Ouyang, Xiang Ma, and Yong Gang Yan. "Establishment of Digital Human Head Model Coordinate System Based on Mean Curvature Analysis." Applied Mechanics and Materials 239-240 (December 2012): 703–7. http://dx.doi.org/10.4028/www.scientific.net/amm.239-240.703.

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The human body model scanned by a structured light scanner is based on the scan coordinate system. Since the structured light scanner is not fixed, when the scanner scanning human body in different position, we can get several models, the coordinates of the same point on these models are not the same. In order to solve this problem, we propose a method. We extract facial feature points with the use of mean curvature analysis. The feature points are used to determine the digital human head model coordinate system. We can convert the human head models from the scan coordinate system to the digit

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Hussaini, Alhaji, Kelvin Tang Kang Wee, Amalina Izzati Abdul Hamid, Auwal Graba Abubakar, and Chee Wee Tan. "Comparative Analysis of GDM2000, WGS84, and MRT68 Coordinate Reference Systems based on Different Converter Modules." Engineering, Technology & Applied Science Research 14, no. 4 (2024): 15494–98. http://dx.doi.org/10.48084/etasr.7124.

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The employment of multiple data and coordinate systems in Malaysia has not only resulted in challenges in surveying and mapping purposes but has also caused data compatibility issues with the local positioning system. This study examines the disparities in coordinates converted from the localized Geocentric Datum of Malaysia 2000 (GDM2000) to the global coordinate system, the World Geodetic System 1984 (WGS84), and from GDM2000 to the Malayan Revised Triangulation 1968 (MRT68). Several coordinate converter tools, available in the mCOORD mobile app, Geodetic Datum Transformation System (GDTS),

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Tereshchenko, V. E. "Technique for relation global reference system and local realization of global reference system by continuously operated reference stations." Geodesy and Cartography 962, no. 8 (2020): 24–37. http://dx.doi.org/10.22389/0016-7126-2020-962-8-24-37.

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The article suggests a technique for relation global kinematic reference system and local static realization of global reference system by regional continuously operated reference stations (CORS) network. On the example of regional CORS network located in the Novosibirsk Region (CORS NSO) the relation parameters of the global reference system WGS-84 and its local static realization by CORS NSO network at the epoch of fixing stations coordinates in catalog are calculated. With the realization of this technique, the main parameters to be determined are the speed of displacement one system center

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Vinogradov, A. V. "Determining the parameters of a local coordinate system with a non-standard longitude of the central meridian. Ways to improve the accuracy of determining parameters." Geodesy and Cartography 972, no. 6 (2021): 2–9. http://dx.doi.org/10.22389/0016-7126-2021-972-6-2-9.

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Improving the accuracy of calculating the longitude of the axial meridian, the coordinates of the starting point and the height of the local coordinate system is achieved through introducing an intermediate coordinate system. The longitude of the axial meridian of the intermediate coordinate system is chosen equal to the approximate value of the longitude of the axial meridian of the local coordinate system. The difference in longitudes of the axial meridians of the state coordinate system and the intermediate coordinate system is known. The final value of the axial meridian`s longitude of the

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Chen, Shyh-Leh, Mun-Hooi Khong, and Sheng-Min Hsieh. "Contouring Control of a Five-Axis Machine Tool with Equivalent Errors." Electronics 11, no. 16 (2022): 2521. http://dx.doi.org/10.3390/electronics11162521.

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In this study, the contouring control problem of a five-axis machine tool was examined. Due to the rotation axes, there are two coordinate systems involved in the five-axis machine tool, namely the workpiece coordinate system and machine coordinate system. The five-axis machine tool is required to follow a given desired path with tool orientation specified in the workpiece coordinate system. However, the system dynamics of the machine tool is described in the machine coordinates. Kinematic transformations exist between the two coordinate systems. One challenge of the problem is to design a con

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Banachowicz, Andrzej, and Adam Wolski. "Determination of Ship Approach Parameters in the Polar Coordinates System." Reports on Geodesy and Geoinformatics 96, no. 1 (2014): 1–8. http://dx.doi.org/10.2478/rgg-2014-0001.

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Abstract An essential aspect of the safety of navigation is avoiding collisions with other vessels and natural or man made navigational obstructions. To solve this kind of problem the navigator relies on automatic anti-collision ARPA systems, or uses a geometric method and makes radar plots. In both cases radar measurements are made: bearing (or relative bearing) on the target position and distance, both naturally expressed in the polar coordinates system originating at the radar antenna. We first convert original measurements to an ortho-Cartesian coordinate system. Then we solve collision av

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IUKHNO, Alona, Dmytro SOPOV, and Dmytro HOPTSII. "PERFORMANCE OF ENGINEERING SURVEYS AS AN INTEGRAL PART OF LAND AND CADASTRE WORKS IN PREPARATION OF LAND PLOTS FOR REGISTRATION IN THE BASE OF THE STATE LAND CADASTER." Ukrainian Journal of Applied Economics 6, no. 3 (2021): 273–80. http://dx.doi.org/10.36887/2415-8453-2021-3-37.

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Performing engineering surveys is a mandatory part of the development of technical documentation on land management. Surveys allow to confirm the accuracy of the performed geodetic or topographic survey. In particular, the accuracy of determining the geodetic coordinates of the turning points of the boundaries of the land, to link the turning points of the boundaries of the land to the geodetic points of the State Geodetic Network of Ukraine. The main purpose of the article is to reflect the main components of engineering surveys as part of land cadastral works in preparation of land for regis

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Yu, Tao. "Linear solution of the three-station positioning equationreconstructed based on the path difference equation." BOHR Journal of Computational Intelligence and Communication Network 2, no. 1 (2024): 18–22. http://dx.doi.org/10.54646/bjcicn.2024.14.

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For a three-station path difference positioning system with an arbitrary planar layout, if the solution analysis is directly based on the path difference equation, the radial distance unknowns in the equation are difficult to directly eliminate. Once the conversion relationship between the polar coordinate system and the Cartesian coordinate system is utilized, the differential equation system can be transformed into a mixed variable equation system, which includes both the three radial distances in the polar coordinate system and the two coordinate variables in the Cartesian coordinate system

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Halynskyi, V. P. "Marching algorithm to calculate supersonic flow past a tilting-nose rocket." Technical mechanics 2022, no. 1 (2022): 16–25. http://dx.doi.org/10.15407/itm2022.01.016.

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This paper presents a marching algorithm for the calculation of supersonic flow past a tilting-nose rocket. A feature of the algorithm is that the marching direction of supersonic flow calculation for the nose does not coincide with that for the main part of the rocket surface. Because of this, at first flow past the nose is calculated in a cylindrical coordinate system, the flow field parameters being stored at marching cross-sections. The start and the end of the parameter storage interval in the flow field are determined from the condition of the intersection of the bow shock wave with a pl

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Li, Zifeng. "Approximate Inertial Coordinate System Selections for Rotation Problems - The Gravitational Field of the Celestial Body Higher than the Object Being Rotated." Applied Physics Research 8, no. 1 (2015): 102. http://dx.doi.org/10.5539/apr.v8n1p102.

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<p class="1Body">Selection of the coordinate system is essential for rotation problems. Otherwise, mistakes may occur due to inaccurate measurement of angular speed. Approximate inertial coordinate system selections for rotation problems should be the gravitational field of the celestial body higher than the object being rotated: (1) the Earth fixed Cartesian coordinate system for normal rotation problem; (2) heliocentric - geocentric Cartesian coordinate system for satellites orbiting the Earth; (3) the Galaxy Heart - heliocentric Cartesian coordinates for Earth's rotation around the Su

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Olga Blazekova and Maria Vojtekova. "Using of Parallel Coordinates in Finding Minimum Distance in Time-Space." Communications - Scientific letters of the University of Zilina 21, no. 3 (2019): 3–7. http://dx.doi.org/10.26552/com.c.2019.3.3-7.

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Airspace domain may be represented by a time-space consisting of a three-dimensional Cartesian coordinate system and time as the fourth dimension. A coordinate system provides a scheme for locating points given its coordinates and vice versa. The choice of coordinate system is important, as it transforms data to geometric representation. Visualization of the three and more dimensional data on the two-dimensional drawing - computer monitor is usually done by projection, which often can restrict the amount of information presented at a time. Using the parallel coordinate system is one of possibi

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Pavlov, Andrey. "THE UNCERTAINTY PRINCIPLE FOR DIFFERENT SYSTEMS OF COORDINATE." Mathematical Physics and Computer Simulation 27, no. 4 (2024): 17–22. https://doi.org/10.15688/mpcm.jvolsu.2024.4.2.

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We consider the analytical 𝑧 = 𝑓(𝑝) functions in different coordinate systems. The centers of coordinates of the new systems are located in the (𝐴, 0) points, with the r variable. With point of view of the new coordinate system we obtain some new 𝑦 = 𝑓(𝑥 + 𝐴) equations for the same 𝑦 = 𝑓(𝑥) graph for the only function, (the new equation of the same (𝑧, 𝑓(𝑝)) set of points for the 𝑝 = 𝑥, 𝑧 = 𝑦 complex variables). To prove the fact we can consider the 𝑦 = 𝑓(𝑝) equation for the new 𝑝 = 𝑟 + 𝐴 variable with 𝑟 = 𝑥; by definition of the 𝑝 and 𝑟 variables 𝑝 = 𝑟 + 𝐴, (the 𝑝 variable we consider in the

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