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1

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, Xian Min, Ya Liu, Gang Li, and Fei Xia. "Study and Application on Airport Clearance Based on Secant Method in Gauss Projection Algorithm for Inverse Solution." Advanced Materials Research 790 (September 2013): 669–72. http://dx.doi.org/10.4028/www.scientific.net/amr.790.669.

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This article adopts WGS-84 Coordinate, applying the Secant Method successive approximation to solve geographic coordinates according to the Gauss-Krueger formula, realizing the transformation from plane rectangular coordinates to geographic coordinates, using the coordinate translation and rotation formula to achieve the transformation between the airport coordinate and Gauss plane rectangular coordinates, thus geographic coordinate, gauss plane rectangular coordinates and the airport coordinate can change into each other.
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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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4

Funahashi, Shintaro. "Coordinate Transformation from Retinotopic Coordinates to Craniotopic Coordinates." Equilibrium Research 57, no. 4 (1998): 353–68. http://dx.doi.org/10.3757/jser.57.353.

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5

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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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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Radov, Stanislav, Serhii Rotte, Maksym Soboliev, Valentyna Lytvyn, and Alina Volontyr. "High-precision coordinate transformation algorithm for equidistant transverse cylindrical projection." Geodesy, cartography and aerial photography 101,2025, no. 101 (2025): 26–34. https://doi.org/10.23939/istcgcap2025.101.026.

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The aim of the present study is to design an algorithm for direct and inverse transformation of geodetic coordinates and flat rectangular coordinates of equiintermediate transverse cylindrical projection, based on the use of geocentric coordinate ellipses. Methods. General scientific methods of abstraction, analysis, synthesis, and mathematical modeling have been deployed to substantiate the coordinate transformation algorithm. Results. The proposed study has developed an accurate algorithm for equiintermediate transverse cylindrical projection, which uses geocentric coordinate ellipses, namel
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8

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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9

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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10

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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11

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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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 (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 eff
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13

Zängl, Günther. "An Adaptive Vertical Coordinate Formulation for a Nonhydrostatic Model with Flux-Form Equations." Monthly Weather Review 135, no. 1 (2007): 228–39. http://dx.doi.org/10.1175/mwr3298.1.

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Abstract The concept of adaptive vertical coordinates is used to upgrade conventional terrain-following σ coordinates to arbitrary hybrid coordinates. Compared with previous approaches for implementing adaptive coordinates, the method presented here combines unrestricted applicability to nonhydrostatic models with the capability to integrate the atmospheric equations in flux form. The coordinate is based on a three-dimensional field carrying the vertical position of the coordinate surfaces, which is made time dependent by introducing a prognostic equation. As a specific example, the adaptive c
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14

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
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15

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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16

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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17

Halimy, N. A. A., and N. J. Trilaksono. "Analysis of the influence hybrid mass coordinate on WRF-ARW models to the turbulence simulation of Batik airlines aviation (case study October 24, 2017)." IOP Conference Series: Earth and Environmental Science 893, no. 1 (2021): 012032. http://dx.doi.org/10.1088/1755-1315/893/1/012032.

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Abstract The influence of hybrid sigma coordinate is better to represent turbulence in America than basic sigma coordinate. Therefore, it is necessary to search the effect of these coordinates on turbulence simulations in Indonesia due to the analysis of different atmospheric conditions from America. In this research, two experiments are performed using two different vertical coordinates with a case study flight turbulence from Batik Airlines on October 24, 2017. The two different vertical coordinates are the hybrid sigma coordinate and basic sigma coordinate. The data used are NCEP-FNL, Himaw
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18

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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19

Foote, Robert L., Bruce E. Pollock, Michael J. Link, Yolanda I. Garces, and Robert W. Kline. "Leksell Gamma Knife coordinate setting slippage: how often, how much?" Journal of Neurosurgery 101, no. 4 (2004): 590–93. http://dx.doi.org/10.3171/jns.2004.101.4.0590.

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Object. The aim of this study was to determine the incidence and magnitude of coordinate setting slippage during gamma knife surgery (GKS). Methods. Thirty-six consecutive patients undergoing GKS with a Leksell unit between June and December 2000 had their coordinates (right and left x-, y-, and z-coordinates; 1548 coordinates; 258 isocenters) and gamma angles checked after the delivery of treatment to each isocenter to determine whether the coordinate settings had slipped and, if so, which settings and the magnitude of the slippage. Conclusions. Coordinate setting slippage during GKS with a L
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Tian, Haoxin, Xipeng Fang, Yubin Lan, et al. "Extraction of Citrus Trees from UAV Remote Sensing Imagery Using YOLOv5s and Coordinate Transformation." Remote Sensing 14, no. 17 (2022): 4208. http://dx.doi.org/10.3390/rs14174208.

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Obtaining the geographic coordinates of single fruit trees enables the variable rate application of agricultural production materials according to the growth differences of trees, which is of great significance to the precision management of citrus orchards. The traditional method of detecting and positioning fruit trees manually is time-consuming, labor-intensive, and inefficient. In order to obtain high-precision geographic coordinates of trees in a citrus orchard, this study proposes a method for citrus tree identification and coordinate extraction based on UAV remote sensing imagery and co
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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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Toy, Michael D. "A Supercell Storm Simulation Using a Nonhydrostatic Cloud-Resolving Model Based on a Hybrid Isentropic-Sigma Vertical Coordinate." Monthly Weather Review 141, no. 4 (2013): 1204–15. http://dx.doi.org/10.1175/mwr-d-12-00215.1.

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Abstract A three-dimensional simulation of a supercell storm is performed with a nonhydrostatic model based on a hybrid isentropic-sigma vertical coordinate. The coordinate is a terrain-following, height-based coordinate near the surface that smoothly transitions to potential temperature with height. Using isentropic coordinates provides the advantage of having zero cross-coordinate vertical mass flux for adiabatic flow, which virtually eliminates the numerical error in the vertical transport. The model uses an adaptive grid algorithm by which the coordinate surfaces may deviate from their tar
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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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Rader, C. M. "Generating rectangular coordinates in polar coordinate order." IEEE Signal Processing Magazine 22, no. 6 (2005): 178–80. http://dx.doi.org/10.1109/msp.2005.1550199.

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25

NAKAMURA, AKIRA. "SOME NOTES ON PARALLEL COORDINATE GRAMMARS." International Journal of Pattern Recognition and Artificial Intelligence 09, no. 05 (1995): 753–61. http://dx.doi.org/10.1142/s0218001495000304.

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In a coordinate grammar, the rewriting rules replace sets of symbols having given coordinates by sets of symbols whose coordinates are given functions of the coordinates of the original symbols. Usually, at each step of a derivation, only one rule is applied and only one instance of its left hand side is rewritten. This type is referred to sequential grammars. As a counterpart of this grammar, parallel coordinate grammars are defined as generalized parallel isometric grammars. In the parallel grammars, the rewriting rule are used in parallel in a derivation application. The paper discusses som
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26

Iofa, Mikhail Z. "Kodama-Schwarzschild versus Gaussian Normal Coordinates Picture of Thin Shells." Advances in High Energy Physics 2016 (2016): 1–6. http://dx.doi.org/10.1155/2016/5632734.

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Geometry of the spacetime with a spherical shell embedded in it is studied in two coordinate systems: Kodama-Schwarzschild coordinates and Gaussian normal coordinates. We find explicit coordinate transformation between the Kodama-Schwarzschild and Gaussian normal coordinate systems. We show that projections of the metrics on the surface swept by the shell in the 4D spacetime in both cases are identical. In the general case of time-dependent metrics we calculate extrinsic curvatures of the shell in both coordinate systems and show that the results are identical. Applications to the Israel junct
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Li, Suhua, Jiacheng Xie, Xuewen Wang, Fang Ren, Xin Zhang, and Qingbao Bao. "Path Planning of Hydraulic Support Pushing Mechanism Based on Extreme Learning Machine and Descartes Path Planning." Symmetry 13, no. 1 (2021): 97. http://dx.doi.org/10.3390/sym13010097.

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As a floating system connecting hydraulic support and scraper conveyor, the path planning of pushing mechanism is of great significance for their coordinated movement. In this paper, a method for path planning of hydraulic support pushing mechanism based on extreme learning machine (ELM) and Descartes path planning is proposed. According to the motion characteristics of moving mechanism, it is transformed into industrial robot model, based on the characteristics of the coordinates of the key points on the ear seat of the scraper conveyor when advancing, a prediction method of the key points co
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Li, Suhua, Jiacheng Xie, Xuewen Wang, Fang Ren, Xin Zhang, and Qingbao Bao. "Path Planning of Hydraulic Support Pushing Mechanism Based on Extreme Learning Machine and Descartes Path Planning." Symmetry 13, no. 1 (2021): 97. http://dx.doi.org/10.3390/sym13010097.

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As a floating system connecting hydraulic support and scraper conveyor, the path planning of pushing mechanism is of great significance for their coordinated movement. In this paper, a method for path planning of hydraulic support pushing mechanism based on extreme learning machine (ELM) and Descartes path planning is proposed. According to the motion characteristics of moving mechanism, it is transformed into industrial robot model, based on the characteristics of the coordinates of the key points on the ear seat of the scraper conveyor when advancing, a prediction method of the key points co
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Jin, Li Xin, Lian Jun Wang, and Song Lin Yang. "Movement and Deformation Rules of Gauss Coordinates Based on Ellipsoid Expanded Modal." Advanced Materials Research 368-373 (October 2011): 2211–15. http://dx.doi.org/10.4028/www.scientific.net/amr.368-373.2211.

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This paper studies on deducing the analytic formulae on Gauss coordinates displacement before or after the increase of major radius of ellipsoid expanded modals, which is based on the partial derivatives of geodetic coordinates in Gauss coordinates deducing from direct solution formulae of the Gauss projection coordinates in conjunction with differential coefficient formulae and variable of geodetic coordinates. On this theoretical foundation, analyzing the relationships between Gauss coordinates displacement and other mathematical parameter . The relationship of graphics between point displac
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Jin, Li Xin, Lian Jun Wang, and Song Lin Yang. "Displace Regulation of Gauss Coordinates Based on Ellipsoid Expanded Modal." Applied Mechanics and Materials 105-107 (September 2011): 1333–37. http://dx.doi.org/10.4028/www.scientific.net/amm.105-107.1333.

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This paper studies on deducing the analytic formulae on Gauss coordinates displacement before or after the increase of major radius of ellipsoid expanded modals, which is based on the partial derivatives of geodetic coordinates in Gauss coordinates deducing from direct solution formulae of the Gauss projection coordinates in conjunction with differential coefficient formulae and variable of geodetic coordinates. On this theoretical foundation, analyzing the relationships between Gauss coordinates displacement and other mathematical parameter . The relationship of graphics between point displac
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Kuzikov, Sergey, D. V. Kenigsberg, Yuliya Salamatina, and O. A. Prokhorov. "Comparison of Methods for Computing Highly Accurate Daily GNSS Positions." Civil Engineering Journal 9, no. 2 (2023): 305–18. http://dx.doi.org/10.28991/cej-2023-09-02-04.

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In Central Asia, the level of geodynamic displacements of the Earth's crust does not significantly exceed the accuracy of their measurement methods. Therefore, we need to choose the most accurate methods of calculating coordinates for cosmogeodetic stations. In this work, based on the data of 8 days of GPS measurements at 10 stations, 7 sets of average daily geocentric XYZ coordinates were calculated using different methods. To determine the positions, we used 3 calculation methods in the GAMIT/GLOBK program, 2 methods in the Bernese GNSS software, and 2 web services. To estimate the differenc
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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 (
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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° E, scale factor 0.9999, false east
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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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Lee, Wooyoung, Minchul Lee, Myoungho Sunwoo, and Kichun Jo. "Fast Online Coordinate Correction of a Multi-Sensor for Object Identification in Autonomous Vehicles." Sensors 19, no. 9 (2019): 2006. http://dx.doi.org/10.3390/s19092006.

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Multi-sensor perception systems may have mismatched coordinates between each sensor even if the sensor coordinates are converted to a common coordinate. This discrepancy can be due to the sensor noise, deformation of the sensor mount, and other factors. These mismatched coordinates can seriously affect the estimation of a distant object’s position and this error can result in problems with object identification. To overcome these problems, numerous coordinate correction methods have been studied to minimize coordinate mismatching, such as off-line sensor error modeling and real-time error esti
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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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Meng, Qing Wu, and Lu Meng. "Research of Transformation Models between Urban Independent Coordinates and CGCS2000 Coordinates." Applied Mechanics and Materials 522-524 (February 2014): 1202–6. http://dx.doi.org/10.4028/www.scientific.net/amm.522-524.1202.

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In case of no errors of known coincidence points coordinates the plane coordinate transformation model equation with four parameters and the plane coordinate transformation model equation with six parameters are derived, this algorithm needs not composed normal equation from error equation, which is verified by examples about transformation between the urban plane coordinate and CGCS2000 plane coordinate. Finally the some beneficial conclusions have been got.
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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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Dil, Emre, and Talha Zafer. "Transformation Groups for a Schwarzschild-Type Geometry in f(R) Gravity." Journal of Gravity 2016 (November 2, 2016): 1–8. http://dx.doi.org/10.1155/2016/7636493.

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We know that the Lorentz transformations are special relativistic coordinate transformations between inertial frames. What happens if we would like to find the coordinate transformations between noninertial reference frames? Noninertial frames are known to be accelerated frames with respect to an inertial frame. Therefore these should be considered in the framework of general relativity or its modified versions. We assume that the inertial frames are flat space-times and noninertial frames are curved space-times; then we investigate the deformation and coordinate transformation groups between
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MA, ZHENGMING, and JING CHEN. "THE HUFFMAN-LIKE ALIGNMENT IN MANIFOLD LEARNING." International Journal of Pattern Recognition and Artificial Intelligence 28, no. 04 (2014): 1451005. http://dx.doi.org/10.1142/s0218001414510057.

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In manifold learning, the neighborhood is often called a patch of the manifold, and the corresponding open set is called the local coordinate of the patch. The so-called alignment is to align the local coordinates in the d-dimensional Euclidean space to get the global coordinate of the manifold. There are two kinds of alignment methods: global and progressive alignment methods. The global alignment methods align the local coordinates of the manifold all at one time by solving an eigenvalue problem. The progressive alignment methods often take the local coordinate of a patch as the basic local
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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 (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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Feng, Rongquan, and Hongfeng Wu. "A Mean Value Formula for Elliptic Curves." Journal of Numbers 2014 (August 25, 2014): 1–5. http://dx.doi.org/10.1155/2014/298632.

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It is proved in this paper that, for any point on an elliptic curve, the mean value of x-coordinates of its n-division points is the same as its x-coordinate and that of y-coordinates of its n-division points is n times that of its y-coordinate.
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Toy, Michael D. "Incorporating Condensational Heating into a Nonhydrostatic Atmospheric Model Based on a Hybrid Isentropic–Sigma Vertical Coordinate." Monthly Weather Review 139, no. 9 (2011): 2940–54. http://dx.doi.org/10.1175/mwr-d-10-05015.1.

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Using isentropic coordinates in atmospheric models has the advantage of eliminating the cross-coordinate vertical mass flux for adiabatic flow, and virtually eliminating the associated numerical error in the vertical transport. This is a significant benefit since much of the flow in the atmosphere is approximately adiabatic. Nonadiabatic processes, such as condensational heating, result in a nonzero vertical velocity [Formula: see text] in isentropic coordinates. A method for incorporating condensational heating into a nonhydrostatic atmospheric model based on a hybrid isentropic–sigma vertica
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Gustafsson, Björn, and Jaak Peetre. "Notes on projective structures on complex manifolds." Nagoya Mathematical Journal 116 (December 1989): 63–88. http://dx.doi.org/10.1017/s0027763000001690.

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Consider a Riemann surface X equipped with a projective structure, that is, a covering of X with coordinate neighborhoods U and corresponding (holomorphic) local coordinates {t} such that in the intersection U ∩ U′ of any two such coordinate neighborhoods U and U′ change of local coordinates is mediated by a fractional linear transformation
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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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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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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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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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Leuenberger, Daniel, Marcel Koller, Oliver Fuhrer, and Christoph Schär. "A Generalization of the SLEVE Vertical Coordinate." Monthly Weather Review 138, no. 9 (2010): 3683–89. http://dx.doi.org/10.1175/2010mwr3307.1.

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Abstract Most atmospheric models use terrain-following coordinates, and it is well known that the associated deformation of the computational mesh leads to numerical inaccuracies. In a previous study, the authors proposed a new terrain-following coordinate formulation [the smooth level vertical (SLEVE) coordinate], which yields smooth vertical coordinate levels at mid and upper levels and thereby considerably reduces numerical errors in the simulation of flow past complex topography. In the current paper, a generalization of the SLEVE coordinate is presented by using a modified vertical decay
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