Journal articles: 'Coordinate system'

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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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Lei, Kin, Dongxu Qi, and Xiaolin Tian. "A New Coordinate System for Constructing Spherical Grid Systems." Applied Sciences 10, no. 2 (January 16, 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 barycentric coordinates that describe the positions of points on a plane concerning the vertices of a given planar triangle; analogously, spherical area coordinates (SACs) describe the positions of points on a sphere concerning the vertices of a given spherical triangle. In particular, the global coordinate system is obtained by decomposing the globe into several identical triangular regions, constructing local coordinates for each region, and then combining them. Once the SACs have been established, the coordinate isolines form a new class of global grid systems. This kind of grid system has some useful properties: the grid cells exhaustively cover the globe without overlapping and have the same shape, and the grid system has a congruent hierarchical structure and simple relationship with traditional coordinates. These beneficial characteristics are suitable for organizing, representing, and analyzing spatial data.

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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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Abstract. 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 coordinate system transformation of surveying and mapping results in China. This paper expounds the method of transforming the existing reference coordinate system into the geocentric coordinate system, summarizes and sorts out the common quality problems in the process of different data and different methods, and analyses the causes of the problems and the impact on the transforming results. Based on the above work, The paper provides reference and suggestions for the transforming work, which is aimed to improve the transformation quality in the future.

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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 (December 20, 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 article presents the the results of calculations of changes of coordinates of the same point in GSK-2011 and SC-95 in six-degree zones of Gauss projection. It was found that in each region values of the shifts changed to small ones. Therefore, it is possible to convert the coordinates of the points by the simplified formulae. For recalculation from the coordinates of GSK-2011 in SK-95 or local coordinate system (WCS) of the administrative district it is necessary to find the origin of coordinates, scale value and rotation of the coordinate axes. The error of the conversion shall not exceed 0,001 m. The coordinates of the initial point of the local coordinate system relative to the central meridian of the local coordinate system shall be added in the list of parameters of the transition from local coordinate system to the state one.

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Nagy, Benedek, and Khaled Abuhmaidan. "A Continuous Coordinate System for the Plane by Triangular Symmetry." Symmetry 11, no. 2 (February 9, 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 system addresses each point of the plane with a coordinate triplet. Conversion between the Cartesian coordinate system and the new system is described. The sum of three coordinate values lies in the closed interval [−1, 1], which gives many other vital properties of this coordinate system.

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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 the element type and inertial reference based.

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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 (February 20, 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 of similar investigations, but applied to a local area, limited by a mobile scanning complex surveying area. The accuracy of the mobile scanning complex coordinates is characterized by the mobile scanning complex coordinates errors cofactor matrix. It turned out that the local site sequential coordinate transformation procedure from one coordinate system to another coordinate system does not introduce any distortion into the mobile scanning complex coordinates.

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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 standard natural-coordinate system on the element can adapt itself to the selected empty positions, leading to an actual natural-coordinate system, which contains twelve rational natural coordinates for the element. The implementation of the method has been achieved on a multibody dynamics and motion analysis platform, InteDyna, with the result that modeling efficiency is enhanced and model quality improved.

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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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Obidenko, V. I. "The methodology of geodetic supporting Russian Federation digital economy." Geodesy and Cartography 954, no. 12 (January 20, 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 adjustment etc.), but for the current date, using a federal network of differential geodetic stations as the main tool for implementing this methodology. In order to avoid inconveniences of application the reference system for practical operations (as the coordinates are time-dependent), it is offered to use the additional coordinate system, “fixed” to an appropriate tectonic plate, spun round Euler’s pole within the state reference system GSK-2011.

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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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Abstract. 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.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&deg;&thinsp;E, scale factor 0.9999, false easting 500000&thinsp;m, false northing 0&thinsp;m and 7th projecting zone per 3&deg;. Based on mentioned parameters, the coordinate systems EPSG 6204 and EPSG 6316 are defined and internationally recognized. The core deferens between them is false easting value. As a result of both coordinate systems parameters, the values of easting coordinates are far from each other for 7000&thinsp;km!Beside EPSG 6204 and 6316, official spatial data sets defined in CAD software were digitized by excluding first digits of easting and northing coordinates, by excluding digits 7 for easting and 4 for northing coordinates of spatial data.Using three types of coordinate values, requires process of data harmonization before their usage in same project, in order to reach the spatial data overlapping. Third type of coordinate system, due to the lack of coordinate system parameters, can not be automatically overlapped with data defined in EPSG6204 and EPSG6316, which requires defining of intermediate coordinate system for third type of data in order to establish the mathematical base for data harmonization/overlapping by transformation of coordinates between three systems.

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Nepoklonov, Vicktor, Mayya Maximova, and Ivan Sukharev-Krylov. "Monitoring of spatial data coordinate basis integrity using coordinate transformations." E3S Web of Conferences 310 (2021): 03009. http://dx.doi.org/10.1051/e3sconf/202131003009.

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The modern spatial data coordinate basis (SDCB) is built taking into account the variety of existing and used today geodetic networks, models of physical fields of the Earth, cartographic models, as well as coordinate systems (СS). One of the requirements for SDCB from the standpoint of system analysis is the requirement of integrity, which presupposes the unity of the determination of coordinates, that is, the consistency of the results of determining the coordinates of the same points in different CSs. The article is devoted to the monitoring of the accuracy characteristics of the available software for coordinate transformations in terms of single-stage and multi-stage transitions between ellipsoidal coordinates of different systems.

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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 (May 1, 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 transformations are implemented using ArcGIS application mainly. Also, MATLAB software is used to convert geographic to map coordinates and vice versa by designing two MATLAB programs. The differences between the coordinate systems have been calculated. The results found that the discrepancies between Karbala 1979 Polservice and IGRS are about 278.6 m, -287.6 m, 0.01 second, and -11.2 second in northing, easting, latitude, and longitude, respectively. The WGS 1984 is superposed to IGRS and the distinction between them is negligible. The map coordinate differences between ArcGIS and MATLAB results are about -16 to 14 mm in northing and about -13 to 12 mm in easting, while the latitude and longitude differences are zero.

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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 caliber and structure. Then, by numerical computation, we selected the best fitting sphere and simplifed the complex models by choosing a right coordinate system. At last, the solution for asphericity and the best fitting sphere curvature radius of off-axis aspherics were introduced by examples.

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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 (November 15, 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 coordinate systems.

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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 (August 31, 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 applications, such as visualizations, morphological and topological operations and shape analysis.

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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 (September 1, 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) disparate legacy surveys to be combined into a common geographic information system (GIS) database, (2) new GPS measurements to be incorporated into that same database, and (3) GPS-based navigation to be used for plot establishment and resampling. This article presents the mathematics necessary to determine the globally referenced planimetric coordinates of established linear, rectangular, or nominally rectangular transects (such as a rhombus) using formulas that are easily implemented on a spreadsheet. In addition, methods are given to determine the planimetric coordinates of new transects.

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Mellace, C., A. P. Lai, A. Gugliotta, N. Bosso, T. Sinokrot, and A. A. Shabana. "Experimental and numerical investigation of railroad vehicle braking dynamics." Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics 223, no. 3 (June 2, 2009): 255–67. http://dx.doi.org/10.1243/14644193jmbd129.

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One of the important issues associated with the use of trajectory coordinates in railroad vehicle dynamic algorithms is the ability of such coordinates to deal with braking and traction scenarios. In these algorithms, track coordinate systems that travel with constant speeds are introduced. As a result of using a prescribed motion for these track coordinate systems, the simulation of braking and/or traction scenarios becomes difficult or even impossible. The assumption of the prescribed motion of the track coordinate systems can be relaxed, thereby allowing the trajectory coordinates to be effectively used in modelling braking and traction dynamics. One of the objectives of this investigation is to demonstrate that by using track coordinate systems that can have an arbitrary motion, the trajectory coordinates can be used as the basis for developing computer algorithms for modelling braking and traction conditions. To this end, a set of six generalized trajectory coordinates is used to define the configuration of each rigid body in the railroad vehicle system. This set of coordinates consists of an arc length that represents the distance travelled by the body, and five relative coordinates that define the configuration of the body with respect to its track coordinate system. The independent non-linear state equations of motion associated with the trajectory coordinates are identified and integrated forward in time in order to determine the trajectory coordinates and velocities. The results obtained in this study show that when the track coordinate systems are allowed to have an arbitrary motion, the resulting set of trajectory coordinates can be used effectively in the study of braking and traction conditions. The results obtained using the trajectory coordinates are compared with the results obtained using the absolute Cartesian-coordinate-based formulations, which allow modelling braking and traction dynamics. In addition to this numerical validation of the trajectory coordinate formulation in braking scenarios, an experimental validation is also conducted using a roller test rig. The comparison presented in this study shows a good agreement between the obtained experimental and numerical results.

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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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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 and the same coordinates be used for both the kinematics and dynamics of a specific problem;3)adopt IAU recommendations specifying reference systems and time scales to be used in ephemeris astronomy.

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Karimi, Parvaneh, and Sergey Fomel. "Stratigraphic coordinates: a coordinate system tailored to seismic interpretation." Geophysical Prospecting 63, no. 5 (March 23, 2015): 1246–55. http://dx.doi.org/10.1111/1365-2478.12224.

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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 (September 2021): 092510. http://dx.doi.org/10.1063/5.0060115.

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DUKE, DENNIS W. "Hipparchus' Coordinate System." Archive for History of Exact Sciences 56, no. 5 (July 1, 2002): 427–33. http://dx.doi.org/10.1007/s004070200050.

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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, with higher formal errors than the other sets, agree at the half meter level.

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Hadjinicolaou, Maria, and Eleftherios Protopapas. "Eigenfunction Expansions for the Stokes Flow Operators in the Inverted Oblate Coordinate System." Mathematical Problems in Engineering 2016 (2016): 1–6. http://dx.doi.org/10.1155/2016/9049131.

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When studying axisymmetric particle fluid flows, a scalar function,ψ, is usually employed, which is called a stream function. It serves as a velocity potential and it can be used for the derivation of significant hydrodynamic quantities. The governing equation is a fourth-order partial differential equation; namely,E4ψ=0, whereE2is the Stokes irrotational operator andE4=E2∘E2is the Stokes bistream operator. As it is already known,E2ψ=0in some axisymmetric coordinate systems, such as the cylindrical, spherical, and spheroidal ones, separates variables, while in the inverted prolate spheroidal coordinate system, this equation acceptsR-separable solutions, as it was shown recently by the authors. Notably, the kernel space of the operatorE4does not decompose in a similar way, since it accepts separable solutions in cylindrical and spherical system of coordinates, whileE4ψ=0semiseparates variables in the spheroidal coordinate systems and itR-semiseparates variables in the inverted prolate spheroidal coordinates. In addition to these results, we show in the present work that in the inverted oblate spheroidal coordinates, the equationE′2ψ=0alsoR-separates variables and we derive the eigenfunctions of the Stokes operator in this particular coordinate system. Furthermore, we demonstrate that the equationE′4ψ=0 R-semiseparates variables. Since the generalized eigenfunctions ofE′2cannot be obtained in a closed form, we present a methodology through which we can derive the complete set of the generalized eigenfunctions ofE′2in the modified inverted oblate spheroidal coordinate system.

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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 (June 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 avoiding problems in rectangular planar coordinates, and the results are transformed to the polar coordinate system. This article presents a method for an analysis of a collision situation at sea performed directly in the polar coordinate system. This approach enables a simpler geometric interpretation of a collision situation

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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 (July 20, 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 local coordinate system relative to the longitude of the axial meridian of the state coordinate system is calculated as the sum of two longitude differences. The first is the difference between the axial meridians of the local and the intermediate coordinate systems; the second is the difference in longitudes between the axial meridians of the intermediate and the state system. The residual errors of the mathematical apparatus for calculating the longitude of the axial meridian are less than 0.005 arc seconds. The proposed technology has been tested at real works.

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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 (July 8, 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 the prediction of three-dimensional coordinates of space points. Findings The average measurement error of three-dimensional coordinates of space points at three-dimensional coordinate measuring system based on dual-PSD based on GA-BP neural network is relatively small. This method does not require considering the lens distortion and the non-linearity of PSD. It has simple structure and high precision and is suitable for three-dimensional coordinate measurement of space points. Originality/value A new three-dimensional coordinate measurement algorithm by optimizing BP neural network based on GA is proposed to predict three-dimensional coordinates of space points formed on three-dimensional coordinate measuring system based on dual-PSD.

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Femina P T, Femina P. T. "Cordic Design For Circular and Linear Coordinate System." International Journal of Scientific Research 3, no. 5 (June 1, 2012): 224–27. http://dx.doi.org/10.15373/22778179/may2014/67.

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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 (October 20, 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 to SCS) transitions. Compiled algorithms preserve the identity of sources and authors. Checking of the updated algorithms performed using the test examples from well knowing manuals. Computations according to the considered algorithms with data from one of the examples are demonstrated in the final part of the article. Practical verification of the work of the above mentioned algorithms on real data was repeatedly performed in the course of the production activity of the Engineering Survey Department of the Irkutskzheldorproekt Institute. In particular, in works related to research for the design of reconstruction and repair of railway tracks, with the updating of obsolete engineering and topographic plans of stations, also using catalogs of coordinates of points of the special reference system of the East Siberian Railway.

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Sun, Kai, Lu Shuang Wei, Li Xuan, and Lun Gang Zhou. "Study on Establishment and Transformation of Coordinate System of Steel Structure in 3D Software." Applied Mechanics and Materials 501-504 (January 2014): 2541–45. http://dx.doi.org/10.4028/www.scientific.net/amm.501-504.2541.

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The 3D visualization design of steel structure under the CAD environment needs to work in the global coordinate system (WCS), but design of various steel members in the 3D space must be completed in the local coordinate system (UCS), so it is perplexing for the conversion and calculation between UCSi (i=1,2,3....n) and WCS. It is proved that the maize grains are not polluted and food production is in safe condition. The article describes classification of several common coordinate systems, discuss the method of setting up coordinates system. Describe the process of type convertion of coordinate system in steel structure design and detailing softwares, and explained the advantage of the application in the real world project.

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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 order to understand the term inertial coordinate system assume that the coordinates α(t), δ(ti), i=1,2,…n are used for plotting the coordinate origins. If these coincide then the system is conventional-fixed and therefore inertial. Thus, the inertial coordinate system in astrometry is a conventional-fixed reference frame reproduced with the use of celestial bodies whose law of motion is known with sufficient accuracy.

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Iversen, Einar, Bjørn Ursin, Teemu Saksala, Joonas Ilmavirta, and Maarten V. de Hoop. "Higher-order Hamilton–Jacobi perturbation theory for anisotropic heterogeneous media: transformation between Cartesian and ray-centred coordinates." Geophysical Journal International 226, no. 2 (April 15, 2021): 893–927. http://dx.doi.org/10.1093/gji/ggab151.

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SUMMARY Within the field of seismic modelling in anisotropic media, dynamic ray tracing is a powerful technique for computation of amplitude and phase properties of the high-frequency Green’s function. Dynamic ray tracing is based on solving a system of Hamilton–Jacobi perturbation equations, which may be expressed in different 3-D coordinate systems. We consider two particular coordinate systems; a Cartesian coordinate system with a fixed origin and a curvilinear ray-centred coordinate system associated with a reference ray. For each system we form the corresponding 6-D phase spaces, which encapsulate six degrees of freedom in the variation of position and momentum. The formulation of (conventional) dynamic ray tracing in ray-centred coordinates is based on specific knowledge of the first-order transformation between Cartesian and ray-centred phase-space perturbations. Such transformation can also be used for defining initial conditions for dynamic ray tracing in Cartesian coordinates and for obtaining the coefficients involved in two-point traveltime extrapolation. As a step towards extending dynamic ray tracing in ray-centred coordinates to higher orders we establish detailed information about the higher-order properties of the transformation between the Cartesian and ray-centred phase-space perturbations. By numerical examples, we (1) visualize the validity limits of the ray-centred coordinate system, (2) demonstrate the transformation of higher-order derivatives of traveltime from Cartesian to ray-centred coordinates and (3) address the stability of function value and derivatives of volumetric parameters in a higher-order representation of the subsurface model.

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Vodolazov, Rodion, Valery Chapursky, and Andrey Filatov. "To the question of coordinate system choice within composition of the spatial generalized MIMO radar ambiguity function." ITM Web of Conferences 30 (2019): 15014. http://dx.doi.org/10.1051/itmconf/20193015014.

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The issue of the choice of spatial coordinate system which is suitable to physical sense of the radar concept is explored on the basis of the derivation of spatial generalized ambiguity function for MIMO antenna system and of its cross-section analysis. The comparison results of generalized ambiguity function cross-sections for two dimensional target coordinates in Cartesian, spherical and modified spherical coordinate systems are given for orthogonal LFM waveforms radiated by the elements of linear MIMO antenna system transmit. This proves the desirable choice between coordinate systems with regard of physical sense of the current task.

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Lei, Y., L. H. Wang, and Z. H. Wang. "FEASIBILITY EXPLORATION OF “MULTI-CONFORMITY” UNDER THE BACKGROUND OF BIG DATA." ISPRS - International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences XLII-3/W10 (February 8, 2020): 1261–64. http://dx.doi.org/10.5194/isprs-archives-xlii-3-w10-1261-2020.

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Abstract. “Multi-conformity” requires the unification of surveying and mapping coordinate system. The Ministry of Natural Resources calls for the unified use of CGCS2000 coordinates in natural resources systems. Therefore, “multi-conformity” can only be carried out in the CGCS2000 coordinate system. In Bijie Experimental Area, the projection deformation of CGCS2000 coordinate system is far greater than the requirement of 2.5cm/km stipulated in the urban surveying, so it can not be directly used in urban construction, and its own independent coordinate system must be established. In order to resolve this contradiction and meet the requirements of “multi-conformity”, Ministry of Natural Resources and urban construction, to explore the transformation of geographic information data under CGCS2000 coordinate system into urban independent coordinate system data in time by using the cloud computing function of big data under the condition of unification of basic data to meet the needs of engineering construction and to serve the economic construction of Bijie Experimental Area.

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Younis, Ghadi. "The Effect of Using Multiple Coordinate Systems and Datum Transformations on the Calculated Coordinates in Palestine." Bulletin of Geography. Physical Geography Series 19, no. 1 (December 4, 2020): 31–41. http://dx.doi.org/10.2478/bgeo-2020-0008.

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AbstractThe recent developments in spatial data collection, management and software require the availability of proper geodetic infrastructures for integrating different types and sources of coordinates without causing effective changes in positions. Nowadays, positions are mostly collected by GNSS data collectors based on WGS84/ITRF reference systems. The data are then subjected to transformations and projections to a locally used system. Another possibility is direct data collection based on the local coordinate system by classical surveys using land surveying, photogrammetry, laser scanning, etc. The spatial data management is commonly operated using Geographic Information Systems (GIS) software for mapping, analysis, planning, and other services. The conversions between different coordinate systems should be well defined to guarantee the consistency of the coordinates on all systems and tools. In Palestine, the classical and local surveys are all based on the local coordinate system Pal1923Grid for engineering, cadastral and planning applications. The different GNSS RTK-service providers use different definitions and transformation methods between WGS84 or the International Terrestrial Reference Frames (ITRF) and the local Palestine1923Grid, whereas the Land authority has adopted a group of parameters to be implemented on the Global Navigation Satellite Systems (GNSS) data collectors, which do not fit with Palestine1923Grid properties. Additionally, different transformation methods are used in GIS applications for converting the coordinates between the different systems using WGS84 as an intermediate system. Here, the coordinates of a group of the geodetic network in the West Bank of Palestine are used to assess the accuracy of the different transformations and systems by comparing the transformed coordinates using the GNSS system and the originally registered coordinates. Furthermore, a grid of points covering the coordinate system extents is used to describe the differences between the transformations and systems. It was found that the parameters provided by GNSS service providers have results that are consistent with each other and the geodetic network in the West Bank of Palestine compared to GIS-software parameters. By contrast, all systems have extremely deteriorated coordinates in the Gaza strip and the further parts of the Pal1923Grid extents.

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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 (September 20, 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 relativly to another and the speeds of rotation the coordinate axes of one system relatively to another, since the time evolution of most stations in the Russian Federation is not currently provided. The article shows the scale factor for relation determination of coordinate systems is not always necessary to consider. The technique described in the article also allows detecting the errors in determining the coordinates of CORS network in global coordinate system and compensate for them. A systematic error of determining and fixing the CORS NSO coordinates in global coordinate system was detected. It is noted that the main part of the error falls on the altitude component and reaches 12 cm. The proposed technique creates conditions for practical use of the advanced method Precise Point Positioning (PPP) in some regions of the Russian Federation. Also the technique will ensure consistent PPP method results with the results of the most commonly used in the Russian Federation other post-processing methods of high-precision positioning.

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Konakoglu, B., L. Cakır, and E. Gökalp. "2D COORDINATE TRANSFORMATION USING ARTIFICIAL NEURAL NETWORKS." ISPRS - International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences XLII-2/W1 (October 26, 2016): 183–86. http://dx.doi.org/10.5194/isprs-archives-xlii-2-w1-183-2016.

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Two coordinate systems used in Turkey, namely the ED50 (European Datum 1950) and ITRF96 (International Terrestrial Reference Frame 1996) coordinate systems. In most cases, it is necessary to conduct transformation from one coordinate system to another. The artificial neural network (ANN) is a new method for coordinate transformation. One of the biggest advantages of the ANN is that it can determine the relationship between two coordinate systems without a mathematical model. The aim of this study was to investigate the performances of three different ANN models (Feed Forward Back Propagation (FFBP), Cascade Forward Back Propagation (CFBP) and Radial Basis Function Neural Network (RBFNN)) with regard to 2D coordinate transformation. To do this, three data sets were used for the same study area, the city of Trabzon. The coordinates of data sets were measured in the ED50 and ITRF96 coordinate systems by using RTK-GPS technique. Performance of each transformation method was investigated by using the coordinate differences between the known and estimated coordinates. The results showed that the ANN algorithms can be used for 2D coordinate transformation in cases where optimum model parameters are selected.

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Polivanov, A. Y., Y. V. Ivanov, and D. V. Kholin. "The Method of the Computer Vision System Coordinate Transformation for an Industrial Robot for a Laser Welding Operation." Mekhatronika, Avtomatizatsiya, Upravlenie 21, no. 3 (March 5, 2020): 166–73. http://dx.doi.org/10.17587/mau.21.166-173.

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In this article, the authors consider the problem of coordinate transformation in computer vision systems (CVS) of robotic system (RS) for laser welding. Laser welding is a highly efficient technological operation in many respects superior to common types of welding due to the high concentration of energy at the welding point. However, laser welding has a number of requirements, including a high requirement for the accuracy of positioning the laser head relative to the welding joint. Adaptive control systems based on CVS allow to provide the required accuracy. The main task of CVS is to determine the three-dimensional coordinates of the welding joint using a video sensor, convert the received coordinates into a coordinate system in which the RS is controlled, and the converted coordinates are transferred to the control system. Note, the accuracy and determination of coordinates are important factors. To accomplish this task, it is necessary to consider the coordinate transformation as a set of actions performed taking into account the specifics of using CVS as part of an RS for laser welding. For this purpose, the article analyzes typical schemes for placing CVS on industrial robots and proposes the most suitable configuration for laser welding. A methodology was also developed for measuring the three-dimensional coordinates of the welding joint using the triangulation method. The authors carried out a comparative analysis of the main existing methods for calibrating CVS video sensors and proposed an original method for calibrating videosensors taking into account the specifics of the functioning of the RS for laser welding. As a result, the article presents the rationale for the need to consider coordinate conversion to CVS as part of an RS for laser welding, as well as a set of methods that allows to perform conversions from a virtual coordinate system of a video sensor to a coordinate system of a robot, which allows direct control based on CVS data. In conclusion, the authors give a method for calibrating a video sensor, which allows achieving the requirements specified in the article for the accuracy of determining the coordinates of the welding joint.

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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 (October 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 proposed algorithm achieves improved matching accuracy and is able to cope with highly distorted fingerprints.

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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 (September 21, 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 high accuracy during the continuous movement of the AUV in SPS space is realized through the regular updating of the coordinate references to SPS objects. Stereo images, a predefined geometric SPS model, and measurements of the absolute coordinates of a limited number of feature points of objects are used as initial data. The matrix of AUV coordinate references to the SPS object coordinate system is computed using 3D object points matched with the model. The effectiveness of the proposed method is estimated based on the results of computational experiments with virtual scenes generated in the simulator for AUV, and with real data obtained by the Karmin2 stereo camera (Nerian Vision, Stuttgart, Germany) in laboratory conditions.

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Luo, Huadong, Jun Yan, Haifeng Ling, Guangna Zhang, Qing Wang, Hongchuan Luo, and Tao Zhu. "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 line and the basic coordinate system in the parallel path. Combining the position relation and the attitude direction information of UAV, the target position conversion relation between the imaging coordinate system and the auxiliary coordinate system is solved by using the direction cosine matrix. Combined with the coordinate information of UAV, the coordinate position of the target point in the basic coordinate system is finally solved through three coordinate conversion operations. In order to avoid the single calculating error of the target coordinates, the weighted average operation is carried out. On the basis of not changing the search trip of the parallel path, the target location function is preliminarily realized through the reverse solution and the weighted average operation of the target coordinates.

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Szabova, Martina, and Frantisek Duchon. "Survey Of GNSS Coordinates Systems." European Scientific Journal, ESJ 12, no. 24 (August 30, 2016): 33. http://dx.doi.org/10.19044/esj.2016.v12n24p33.

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The use of satellite positioning systems to determine position in reference frame can introduce serious practical difficulties. The problem can be in the fields of navigation, map revision or cadastral surveying. It arises because in local area the local coordinate system were used. The problem can be solved by transformation between coordinates frame. Global navigation satellite systems (GNSS) don’t use same reference frame and it is important to know transformation between this systems. This paper works with information of many international organizations and their documents. It contains information about reference coordinate system of GNSS, information about local coordinates system used in North America, UK, and Europe.

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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 digital human head model coordinate system. After the conversion, the coordinates of a same point on different models are approximately the same, which can make the use of scanner more efficiency and user-friendliness.

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Lazarov, Andon, Dimitar Minchev, and Atanas Dimitrov. "Ultrasonic Positioning System Implementation and Dynamic 3D Visualization." Cybernetics and Information Technologies 17, no. 2 (June 1, 2017): 151–63. http://dx.doi.org/10.1515/cait-2017-0023.

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Abstract The paper contributes to the design and implementation of the ultrasonic positioning system based on new multifunctional hardware components, newly released. A moving object coordinates’ determination is described analytically and a matrix equation in respect to unknown coordinates with coefficients, measurement distances, is derived. Stages of data packet processing are formulated, and a pseudo pyramid of measurement distances is built. HX7TR multifunctional ultrasonic devises, transceivers, are used to implement the positioning system. A C# program source code for coordinate determination and 3D visualization is created. The algorithm for moving object coordinate computation, and its program realization as well as HX7TR ultrasonic devises can be used in development of indoor ultrasonic positioning systems embedded in IoT and robotics applications.

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Rui Li, Tai-Peng Tian, and S. Sclaroff. "Divide, Conquer and Coordinate: Globally Coordinated Switching Linear Dynamical System." IEEE Transactions on Pattern Analysis and Machine Intelligence 34, no. 4 (April 2012): 654–69. http://dx.doi.org/10.1109/tpami.2011.152.

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Bobenko, Alexander I., Wolfgang K. Schief, Yuri B. Suris, and Jan Techter. "On a Discretization of Confocal Quadrics. A Geometric Approach to General Parametrizations." International Mathematics Research Notices 2020, no. 24 (December 12, 2018): 10180–230. http://dx.doi.org/10.1093/imrn/rny279.

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Abstract We propose a discretization of classical confocal coordinates. It is based on a novel characterization thereof as factorizable orthogonal coordinate systems. Our geometric discretization leads to factorizable discrete nets with a novel discrete analog of the orthogonality property. A discrete confocal coordinate system may be constructed geometrically via polarity with respect to a sequence of classical confocal quadrics. Various sequences correspond to various discrete parametrizations. The coordinate functions of discrete confocal quadrics are computed explicitly. The theory is illustrated with a variety of examples in two and three dimensions. These include confocal coordinate systems parametrized in terms of Jacobi elliptic functions. Connections with incircular nets and a generalized Euler–Poisson–Darboux system are established.

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Li, Hou Pu, Shao Feng Bian, and Zhong Mei Li. "Chinese Geodetic Coordinate System 2000 and its Comparison with WGS84." Applied Mechanics and Materials 580-583 (July 2014): 2793–96. http://dx.doi.org/10.4028/www.scientific.net/amm.580-583.2793.

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It is a general trend to adopt the geocentric coordinate system as a geodetic datum for the international measurement community. The definition and realization of Chinese geocentric three-dimensional coordinate system (CGCS2000) which has been employed since July 1st, 2008 were introduced in detail. The defining parameters and derived constants of the reference ellipsoid used were given. The comparison between CGCS2000 and WGS84 was carried out. The differences of geodetic coordinates of a point between the two coordinate systems, normal gravity and vertical gradient of normal gravity on the two ellipsoids caused by the change of the flattening of the ellipsoid were analyzed. The results show that these differences could be neglected in view of present measurement accuracies.

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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 determine the relationship between world coordinate system and camera coordinate. And thus determine the camera's internal parameters and external parameters, available transformation matrix and translation vector indicated by the camera's internal parameters of the external parameters and the establishment of a single camera location model. According to the model, using the camera's external parameters to be on the target circle center point in the image plane coordinates.

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Rakcheeva, Tatyana Anatol'evna. "Polypolar lemniscate coordinate system." Computer Research and Modeling 1, no. 3 (September 2009): 251–61. http://dx.doi.org/10.20537/2076-7633-2009-1-3-251-261.

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Journal articles on the topic 'Coordinate system'

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