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1

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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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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Lazarov, Andon, Dimitar Minchev, and Atanas Dimitrov. "Ultrasonic Positioning System Implementation and Dynamic 3D Visualization." Cybernetics and Information Technologies 17, no. 2 (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 determi
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Lu, Feng, Youchun Xu, Yuan Zhu, Zhichao Zhang, Yulin Ma, and Kang Mao. "Active Tracking of Moving Objects with Speed Variations Using a Novel PTZ Camera-based Machine Vision Technique." Elektronika ir Elektrotechnika 31, no. 2 (2025): 60–70. https://doi.org/10.5755/j02.eie.40016.

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Most existing methods of active tracking focus mainly on slow-moving objects, resulting in limited adaptability to objects with variable speeds. To bridge this research gap, a novel spherical coordinate guided adaptive active tracking (SCAAT) approach based on the pan–tilt–zoom (PTZ) camera machine vision system is proposed in this study. For object detection and tracking, YOLOv5 and DeepSORT are employed in the PTZ vision system. The spherical coordinates and angular speeds of the moving object can be acquired under the spherical coordinate system. For practical application, the start-time an
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Tikhomirova, T. A., G. T. Fedorenko, K. M. Nazarenko, and E. S. Nazarenko. "REGULAR VIRTUAL COORDINATE SYSTEM OF COORDINATES OVER THE FIELD OF MOVING VISUAL LANDMARKS." Vestnik komp'iuternykh i informatsionnykh tekhnologii, no. 190 (April 2020): 11–17. http://dx.doi.org/10.14489/vkit.2020.04.pp.011-017.

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The problem objects tracing in respect to large sample of visual landmarks whose position, shape, and optical properties change over time is considered. A Regular Virtual Coordinate System (RVCS) based on visual landmarks triangulation is proposed. RVCS is created using a linear iterative algorithm to relax initial triangulation to the quasi equilibrium state – shagreen, in which the grid nodes are located close to centers of their surroundings. It is shown that shagreen has a dense boundary with strongly elongated cells and the central core with almost regular triangles. We proposed to use th
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Tikhomirova, T. A., G. T. Fedorenko, K. M. Nazarenko, and E. S. Nazarenko. "REGULAR VIRTUAL COORDINATE SYSTEM OF COORDINATES OVER THE FIELD OF MOVING VISUAL LANDMARKS." Vestnik komp'iuternykh i informatsionnykh tekhnologii, no. 190 (April 2020): 11–17. http://dx.doi.org/10.14489/vkit.2020.04.pp.011-017.

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The problem objects tracing in respect to large sample of visual landmarks whose position, shape, and optical properties change over time is considered. A Regular Virtual Coordinate System (RVCS) based on visual landmarks triangulation is proposed. RVCS is created using a linear iterative algorithm to relax initial triangulation to the quasi equilibrium state – shagreen, in which the grid nodes are located close to centers of their surroundings. It is shown that shagreen has a dense boundary with strongly elongated cells and the central core with almost regular triangles. We proposed to use th
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7

Zhang, Jia Xin, Xiao La Yao, and Jiang Tao Miao. "Research on the Control Strategy of Eye-to-Hand Target Track Real-Time Tracking System." Advanced Materials Research 1055 (November 2014): 334–37. http://dx.doi.org/10.4028/www.scientific.net/amr.1055.334.

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This paper presents an Eye-to-hand system, designed for hand-eye system presents a automatically real-time tracking of moving targets control strategy. The first strategy uses a color mark on the target, the use of binocular stereo vision system for color measurement and then in the visual system of the target three-dimensional reconstruction to give the three-dimensional coordinates in the visual coordinate system when the target position and orientation when changes according to the amount of change in the three-dimensional coordinates of the direct control of the robot arm motion of each jo
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8

Glushko, S. P. "Calculation of Angular Coordinates for the Control System of a Two-Link Industrial Robot Manipulator." Advanced Engineering Research 22, no. 4 (2023): 346–52. http://dx.doi.org/10.23947/2687-1653-2022-22-4-346-352.

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Introduction. One of the tasks of two-link manipulators of industrial robots that move the end-effector along complex trajectories (e.g., robot welder) is associated with the need for careful programming of their movement. For these purposes, manual programming methods or training methods are used. These methods are quite labor-intensive, and they require highly qualified service personnel. A possible solution to the problem of programming the manipulator movements is the simulation of motion with the calculation of angular coordinates. This can help simplify the geometric adaptation of the ma
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Zheng, Guo Tai, and Jiu Ying Qin. "A Study of Divergence on still Point Charge and Moving Point Charge in the Vacuum Passive Space." Advanced Materials Research 415-417 (December 2011): 701–6. http://dx.doi.org/10.4028/www.scientific.net/amr.415-417.701.

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The divergence of still point charge is zero in the vacuum passive space, but the divergence of moving point charge is not zero. In order to make the divergence of moving point charge in the vacuum passive space being zero, we must choose the coordinate in which moving point charge has the same velocity with the coordinate as a reference system.
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10

Yin, Gui Xiang. "Moving Icons on Windows XP Desktop Efficiently, Exactly and Eliminating Icons Bounce after Releasing." Advanced Materials Research 791-793 (September 2013): 1699–703. http://dx.doi.org/10.4028/www.scientific.net/amr.791-793.1699.

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A icon can be located by its coordinates in the window by the windows coordinates system.A icon has its own coordinate system too.These two different coordinate systems must communicate properly and on time. Some important problem are discussed in the paper. They are about moving icon efficiently,exactly.Some people have noticed that moving icons on desktop under window XP is not efficient and exact. In the GUI environment,icons and pictures are frequently used and they represent many things,such as files,folders etc.In fact theses icons are associated with system resources.Controlling these r
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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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13

Yong, Shang, and Chen Zhi-da. "On the objective stress rate in co-moving coordinate system." Applied Mathematics and Mechanics 10, no. 2 (1989): 103–12. http://dx.doi.org/10.1007/bf02014816.

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Vignjevic, R., J. Campbell, J. Jaric, and S. Powell. "Derivation of SPH equations in a moving referential coordinate system." Computer Methods in Applied Mechanics and Engineering 198, no. 30-32 (2009): 2403–11. http://dx.doi.org/10.1016/j.cma.2009.02.027.

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15

Zhang, Tong, Baoying Shen, and Xinghua Shi. "“Crawling” on the self-assembly system: A molecular simulation of peptide position adjusting over self-assembly block." MATEC Web of Conferences 189 (2018): 02002. http://dx.doi.org/10.1051/matecconf/201818902002.

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By combining non-equilibrium molecular dynamics(NEMD), umbrella sampling, and weighted histogram analysis method(WHAM), we calculated the potential of mean force of histidine peptide moving over a self-assembly structure. The reaction coordinate is along the main chain direction of the histidine peptide in the self-assembly structure. It is found that the energy needed for the histidine peptide with 3 and 5 residues while moving along the reaction coordinate is around -2.2 kCal/mol and -7.4 kCal/mol, respectively. And the histidine peptide crawls along the reaction coordinate, performing a sna
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16

Wang, Yifan, Di Zhang, Zengke Li, Ming Lu, Yunfei Zheng, and Tianye Fang. "System and Method for Reducing NLOS Errors in UWB Indoor Positioning." Applied Sciences 14, no. 12 (2024): 5123. http://dx.doi.org/10.3390/app14125123.

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The ultra-wideband (UWB) technology has been increasingly recognized as an efficacious strategy for Indoor Positioning Systems (IPSs). However, the accuracy of the UWB system can be severely degraded by non-line-of-sight (NLOS) errors. In this study, we proposed a new method to reduce the UWB positioning error in such an indoor environment. We developed a system consisting of a Robotic Total Station (RTS), four UWB base stations, a moving target (including a prism and a UWB tag), and a PC. The observed coordinates of the moving target, captured using millimeter precision from an RTS device, se
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17

Mei, Zhu, and Yue Wang. "Research on Moving Target Detection and Tracking Technology in Sports Video Based on SIFT Algorithm." Advances in Multimedia 2022 (February 11, 2022): 1–12. http://dx.doi.org/10.1155/2022/2743696.

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Sports video moving target detection and tracking play an important role in enhancing the popularity of sports and the promotion of sports events. This paper combines the SIFT algorithm to carry out the research of sports video moving target detection and tracking technology, to identify sports features, and to improve the sports feature detection algorithm. Moreover, this paper divides the point cloud data into multiple cube grids under the coordinate system where it is located, and then finds the center of gravity of the data points in each grid, and replaces the coordinates of all points in
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18

Zhang, Dan Tong. "Research and Design of the Biped Robot Gait Parameters." Applied Mechanics and Materials 184-185 (June 2012): 1647–50. http://dx.doi.org/10.4028/www.scientific.net/amm.184-185.1647.

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A simple and intuitive scheme about online locomotion pattern generation of dynamic walking for biped robot is presented to solve the complex joint trajectory design. A modeling which based on Cartesian Coordinate system and generalized coordinates was proposed. The gait planning of the biped robot was studied by using the method of 3rd order spline interpolation algorithm. The hip and impatient joint trajectory of the robot was emulated using Matlab. The result shows that the algorithm can make a continuously smooth moving trajectory of position and velocity, resulting in the moving trajector
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19

Cao, Tan Ngoc Than, Van Hai Luong, Hoang Nhi Vo, et al. "A Moving Element Method for the Dynamic Analysis of Composite Plate Resting on a Pasternak Foundation Subjected to a Moving Load." International Journal of Computational Methods 16, no. 08 (2019): 1850124. http://dx.doi.org/10.1142/s0219876218501244.

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The paper proposes a computational approach to simulate the dynamic responses of composite plate resting on a Pasternak foundation subjected a moving load using the moving element method (MEM). The plate element stiffness matrix is formulated in a coordinate system which moves with the load. The main convenience is that the load is static in this coordinate system, which avoids the updating of the load locations due to the change of the contact points with the elements. The effects of the Pasternak foundation, energy dissipation mechanisms, load’s velocity, material properties on the dynamic r
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20

Ziefle, Reiner Georg. "Einstein’s special relativity violates the constancy of the velocity c of light under one-way conditions and thus contradicts the behavior of electromagnetic radiation." Physics Essays 34, no. 3 (2021): 274–78. http://dx.doi.org/10.4006/0836-1398-34.3.274.

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On Earth, we always measure the constant velocity c of electromagnetic radiation. Einstein assumed the velocity c of light to be constant in all inertial frames and developed his theory of special relativity by considering a light beam that moves back and forth, whereby he derived transformations between the coordinates of two reference frames: A moving reference frame represented by the coordinate system k and the coordinate system k that is at rest with respect to k. However, by applying Einstein’s theory of relativity, with its postulates of relativistic time dilation and length contraction
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Vasyliev, Oleksiy, Ivan Rohozin, Mykola Shapoval, and Oleksandr Orysenko. "The definition of the direction of forces arising during the interworking of a car’s steer wheel with chassis dynamometer." ACADEMIC JOURNAL Series: Industrial Machine Building, Civil Engineering 2, no. 51 (2018): 176–79. http://dx.doi.org/10.26906/znp.2018.51.1312.

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The article gives the theoretical substantiation of the forces determination that arise during the steerable vehicle wheel with chassis dynamometer interaction taking into account the wheels angles setting in relation to the longitudinal, vertical and transverse vehicle axes. The transition from mobile to fixed coordinate system using Euler angles is considered. The transitions comparison from the stationary coordinate system to the moving one in the system an aircraft axes and ship axes. It made it possible to move to the fixed coordinate system for a steerable vehicle wheel. A table of trans
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Liu, Jin, Fan Zhang, Aleksey Kudreyko, Wenjia Ren, and Haima Yang. "Novel laser tracking measurement system based on the position sensitive detector." Mathematical Biosciences and Engineering 20, no. 1 (2022): 572–86. http://dx.doi.org/10.3934/mbe.2023026.

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<abstract> <p>The rapid development of modern industrial technology has led to the increase of machinery precision. Laser tracking measurement systems represent a novel type of coordinate measurement method, which was developed on the basis of metrology. In this paper, we aim to define a single-station 3D coordinate rotating laser tracking measurement system based on the principle of the space coordinate method. In view of the current architecture and optical path of the system, we establish the ideal mathematical model of the system and derive the coordinate expression for arbitra
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Shibalkina, Elena, and István Szabó. "Stepper Motor Control System for XY Module for IC Production." Hungarian Agricultural Engineering, no. 39 (2021): 54–64. http://dx.doi.org/10.17676/hae.2021.39.54.

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The presented in the paper control system of the stepper motor of the two-coordinate printing module is developed on the basis of modern elements and allows you to control the stepper motor, providing the required shaft rotation speed and adjusting the number of rotation steps. This system realizes the processing of a moving object in several coordinates simultaneously without kinematic elements that convert rotary motion into linear, which makes it possible to speed up the time and accuracy of the processing tool. A forked optical sensor is used as workpiece position sensors. UART and USB bus
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ПОПЕРЕШНЯК, СВІТЛАНА, АНАСТАСІЯ ВЄЧЕРКОВСЬКА, ОЛЕКСАНДЕР ЖИТКЕВИЧ та АРТЕМ АНТОНЕНКО. "МОНІТОРИНГ РУХУ ОБ’ЄКТІВ ЗАСОБАМИ ГЕОІНФОРМАЦІЙНИХ СИСТЕМ". Herald of Khmelnytskyi National University. Technical sciences 329, № 6 (2023): 312–20. https://doi.org/10.31891/2307-5732-2023-329-6-312-320.

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One of the parameters that allow you to identify the object of observation are its coordinates. In turn, the quality of identification - the probability of correctly recognizing the objects of observation - directly depends on the accuracy of determining its coordinates. In view of the growth in the number of observation objects and, accordingly, the sources of radio radiation, the density of their location in space increases, which leads to a constant increase in the requirements for the accuracy of the location of determination. This makes the task of developing and improving methods for det
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Hui, Zhenyang, Lei Lin, Shuanggen Jin, Yuanping Xia, and Yao Yevenyo Ziggah. "A Reliable DBH Estimation Method Using Terrestrial LiDAR Points through Polar Coordinate Transformation and Progressive Outlier Removal." Forests 15, no. 6 (2024): 1031. http://dx.doi.org/10.3390/f15061031.

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Diameter at breast height (DBH) is a crucial parameter for forest inventory. However, accurately estimating DBH remains challenging due to the noisy and incomplete cross-sectional points. To address this, this paper proposed a reliable DBH estimation method using terrestrial LiDAR points through polar coordinate transformation and progressive outlier removal. In this paper, the initial center was initially detected by rasterizing the convex hull, and then the Cartesian coordinates were transformed into polar coordinates. In the polar coordinate system, the outliers were classified as low and h
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Zaporozhets, Artur, and Denys Kataiev. "Method of compensating for instrumental uncertainty in measurements using a coordinate measuring ARM." System Research in Energy 2024, no. 1 (2024): 45–53. http://dx.doi.org/10.15407/srenergy2024.01.045.

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Due to the influence of dynamic factors in various measurement configurations, the degree of uncertainty in measurements using a Coordinate Measuring Arm (CMA) is directly related to the measurement configuration. However, existing models for compensating CMA errors do not account dynamic factors, which impose certain limits for improving the accuracy of CMAs. To solve this issue, a method for residual error correction based on a polynomial model for single-point measurements was proposed. The influence of the CMA configuration on the residual probe error was analyzed. To enhance accuracy, a p
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Yang, Ze Gang, Xiang Jun Liu, and Qi Wen Zhang. "Moving Target Recognition and Tracking Techniques Based on Infrared Image." Applied Mechanics and Materials 608-609 (October 2014): 473–77. http://dx.doi.org/10.4028/www.scientific.net/amm.608-609.473.

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Infrared equipment has good concealment, strong anti-interference ability, far operating range and fast search speed. These features make it more and more used in military or civilian fields. This paper aims to realize the moving target recognition and tracking system based on Infrared scanning image. According to the actual situation, choose a combination method of Butterworth filter and Median filter as the image preprocessing algorithm, selected the segmentation algorithm based on the target local energy for continuous multi frames, and using Kalman tracking algorithm with our orientation a
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Chen, X. R., P. Cai, and Wen Ku Shi. "An Application of the Kalman Filter in a Laser Tracking Measurement System." Key Engineering Materials 295-296 (October 2005): 245–52. http://dx.doi.org/10.4028/www.scientific.net/kem.295-296.245.

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Flexible coordinate measuring system based on laser tracking measurement system (LTS) is an effective method to detect 3D coordinates of moving target. However, the system suffers from various interferences resulting in low accuracy. This paper extends the application of a Kalman filtering algorithm in LTS to solve the problem. The laser tracking system is introduced. The state model of the laser tracking measurement system is developed and the linearization method of the model is analyzed. A Kalman filtering algorithm is used for the system. The result of the simulation shows that the propose
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Ren, L., A. Z. Khan, G. Blohm, D. Y. P. Henriques, L. E. Sergio, and J. D. Crawford. "Proprioceptive Guidance of Saccades in Eye–Hand Coordination." Journal of Neurophysiology 96, no. 3 (2006): 1464–77. http://dx.doi.org/10.1152/jn.01012.2005.

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The saccade generator updates memorized target representations for saccades during eye and head movements. Here, we tested if proprioceptive feedback from the arm can also update handheld object locations for saccades, and what intrinsic coordinate system(s) is used in this transformation. We measured radial saccades beginning from a central light-emitting diode to 16 target locations arranged peripherally in eight directions and two eccentricities on a horizontal plane in front of subjects. Target locations were either indicated 1) by a visual flash, 2) by the subject actively moving the hand
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Lee, Brian, Bijan Pesaran, and Richard A. Andersen. "Area MSTd Neurons Encode Visual Stimuli in Eye Coordinates During Fixation and Pursuit." Journal of Neurophysiology 105, no. 1 (2011): 60–68. http://dx.doi.org/10.1152/jn.00495.2009.

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Visual signals generated by self-motion are initially represented in retinal coordinates in the early parts of the visual system. Because this information can be used by an observer to navigate through the environment, it must be transformed into body or world coordinates at later stations of the visual-motor pathway. Neurons in the dorsal aspect of the medial superior temporal area (MSTd) are tuned to the focus of expansion (FOE) of the visual image. We performed experiments to determine whether focus tuning curves in area MSTd are represented in eye coordinates or in screen coordinates (whic
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Kim, Seong Hyun, Sunwon Jeong, Sungbum Park, and Ju Yong Chang. "Camera Motion Agnostic Method for Estimating 3D Human Poses." Sensors 22, no. 20 (2022): 7975. http://dx.doi.org/10.3390/s22207975.

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Although the performance of 3D human pose and shape estimation methods has improved considerably in recent years, existing approaches typically generate 3D poses defined in a camera or human-centered coordinate system. This makes it difficult to estimate a person’s pure pose and motion in a world coordinate system for a video captured using a moving camera. To address this issue, this paper presents a camera motion agnostic approach for predicting 3D human pose and mesh defined in the world coordinate system. The core idea of the proposed approach is to estimate the difference between two adja
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Dobler, Carolyn Pillers, and John M. Klein. "Links to Literature: First Graders, Flies, and a Frenchman's Fascination: Introducing the Cartesian Coordinate System." Teaching Children Mathematics 8, no. 9 (2002): 540–45. http://dx.doi.org/10.5951/tcm.8.9.0540.

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The Fly on the Ceiling: A Math Myth (Glass 1998) imaginatively recreates the story of René Descartes and the Cartesian coordinate system. Descartes, a French philosopher and mathematician, was unfortunately also a messy and disorganized person. One day, unable to find any food in his room, he ventures to the bakery to buy a loaf of bread. On his way home, deep in philosophical thought, he falls into the Seine River, catching a cold. At home in bed, he gazes at the only clean spot in his room—the ceiling. There, he observes a fly moving from one place to another. How can he track the fly's move
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Wu, Wei Hua, Jing Jiang, Xun Feng, and Chong Yang Liu. "Tracking a Maneuvering Target in Clutter by Asynchronous and Heterogeneous Sensors on Single Airborne Platform." Applied Mechanics and Materials 701-702 (December 2014): 154–59. http://dx.doi.org/10.4028/www.scientific.net/amm.701-702.154.

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A new algorithm is proposed for tracking a maneuvering target in clutter using heterogeneous sensors, such as active and passive sensors, which are carried on single moving airborne platform and report their observations asynchronously. The algorithm combining interacting multiple model (IMM) with probabilistic data association filter (PDAF) is sequentially implemented to cope with asynchronous reports. In addition, in order to close to practice, the algorithm is based on Earth-centered Earth-fixed (ECEF) coordinate system while it considers the effect of the platform’s attitude. So the algori
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Liu, C. H., and Shengchia Cheng. "Direct Singular Positions of 3RPS Parallel Manipulators." Journal of Mechanical Design 126, no. 6 (2004): 1006–16. http://dx.doi.org/10.1115/1.1803851.

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In this study a procedure to obtain direct singular positions of a 3RPS parallel manipulator is presented. If the heights of three spherical joints, denoted by d1n,d2n, and d3n respectively, are used as coordinate axes, then the workspace of the moving platform may be represented as an inclined solid cylinder in this coordinate system. The location of a point on the solid circular cylinder determines a configuration of the manipulator’s moving platform. The procedure to locate direct singular positions consists of two steps, the orientation of the moving platform is assumed first, from which t
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GAUTREAU, RONALD. "THE INCOMPLETENESS OF KRUSKAL–SZEKERES SPACETIME." International Journal of Modern Physics A 14, no. 16 (1999): 2593–606. http://dx.doi.org/10.1142/s0217751x99001299.

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Novikov has developed a reference system built around times measured by radially moving geodesic clocks that is equivalent to Kruskal–Szekeres coordinates. From analysis of the construction of Novikov's reference system, I give arguments showing that the reference system is not maximally extended, as is commonly reported in the literature. On both Novikov and Kruskal–Szekeres spacetime diagrams, the left-hand side, corresponding to negative values of the spatial coordinate, should not be included when describing a physical spacetime. In turn, this means we have to rethink widely-accepted conce
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36

Khaldirian, M. F., A. P. Rahardjo, D. Luknanto, and R. D. R. Sondi. "An Alternative Algorithm for Simulating Flash Flood." IOP Conference Series: Earth and Environmental Science 930, no. 1 (2021): 012076. http://dx.doi.org/10.1088/1755-1315/930/1/012076.

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Abstract Most of the approaches in numerical modeling techniques are based on the Eulerian coordinate system. This approach faces difficulty in simulating flash flood front propagation. This paper shows an alternative method that implements a numerical modeling technique based on the Lagrangian coordinate system to simulate the water of debris flow. As for the interaction with the riverbed, the simulation uses an Eulerian coordinate system. The method uses the conservative and momentum equations of water and sediment mixture in the Lagrangian form. Source terms represent deposition and erosion
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Diyankov, Oleg V., Igor V. Glazyrin, and Serge V. Koshelev. "MAG - two-dimensional resistive MHD code using an arbitrary moving coordinate system." Computer Physics Communications 106, no. 1-2 (1997): 76–94. http://dx.doi.org/10.1016/s0010-4655(97)00083-0.

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Lourakis, M., M. Pateraki, I. A. Karolos, C. Pikridas, and P. Patias. "POSE ESTIMATION OF A MOVING CAMERA WITH LOW-COST, MULTI-GNSS DEVICES." ISPRS - International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences XLIII-B2-2020 (August 12, 2020): 55–62. http://dx.doi.org/10.5194/isprs-archives-xliii-b2-2020-55-2020.

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Abstract. Without additional prior information, the pose of a camera estimated with computer vision techniques is expressed in a local coordinate frame attached to the camera’s initial location. Albeit sufficient in many cases, such an arbitrary representation is not convenient for employment in certain applications and has to be transformed to a coordinate system external to the camera before further use. Assuming a camera that is firmly mounted on a moving platform, this paper describes a method for continuously tracking the pose of that camera in a projected coordinate system. By combining
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39

Chelnokov, Yu N. "Quaternion Methods and Regular Models of Celestial and Space Flight Mechanic: Using Euler (Rodrigues-Hamilton) Parameters to Describe Orbital (Trajectory) Motion. II: Perturbed Spatial Restricted Three-Body Problem." Известия Российской академии наук. Механика твердого тела, no. 1 (January 1, 2023): 3–32. http://dx.doi.org/10.31857/s0572329922600293.

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The article considers the problem of regularizing the features of the classical equations of celestial mechanics and space flight mechanics (astrodynamics), which use variables that characterize the shape and size of the instantaneous orbit (trajectory) of the moving body under study, and Euler angles that describe the orientation of the used rotating (intermediate) coordinate system or the orientation of the instantaneous orbit, or the plane of the orbit of a moving body in an inertial coordinate system. Singularity-type features (division by zero) of these classical equations are generated b
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40

Chuev, N. P. "The research of the dynamics of a free surface limiting the fi nal weight of a self-gravitating gas." Herald of the Ural State University of Railway Transport, no. 1 (2024): 4–20. http://dx.doi.org/10.20291/2079-0392-2024-1-4-20.

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The work researches the evolution of the free surface which limits the polytropic, isentropic and self-gravitating ideal gas moving in vacuum. Gas currents are described with the mathematical model of gas dynamics, constructed due to the system of nonlinear integro-differential equations, expressed in Euler coordinate system. The transformation of the given system to the Lagrangian coordinates lets reduce it to the equivalent system consisting of integral Voltair’s equations and the equation of continuity in the Lagrangian form, and also it lets break down the unknown boundaries. Free boundary
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41

Nguyen, Xuan Vu, Van Hai Luong, Tan Ngoc Than Cao, Xuan Qui Lieu, and Thai Binh Nguyen. "Hydroelastic responses of floating composite plates under moving loads using a hybrid moving element-boundary element method." Advances in Structural Engineering 23, no. 13 (2020): 2759–75. http://dx.doi.org/10.1177/1369433220919070.

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Responses of floating plates with the impact of moving excitations have been previously studied by several scholars. Generally, such structures were often assumed to be isotropic. Nonetheless, the directional-dependent bending stiffness should be considered for designing practical floating structures, especially for very large floating structures. Accordingly, this article aims to analyze hydroelastic responses of floating composite plates subjected to moving loads for the first time. For this, a novel numerical approach as a combination of boundary element method and moving element method whi
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42

Muramatsu, K., N. Takahashi, N. Iwao, M. Ogawa, and T. Kuwahara. "Three-dimensional steady-state eddy-current analysis of moving conductor using edge elements and moving-coordinate system." IEEE Transactions on Magnetics 38, no. 2 (2002): 597–600. http://dx.doi.org/10.1109/20.996156.

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Wang, Gengxiang. "Elastodynamics modeling of 4-SPS/CU parallel mechanism with flexible moving platform based on absolute nodal coordinate formulation." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 232, no. 21 (2017): 3843–58. http://dx.doi.org/10.1177/0954406217744814.

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The moving platform of the 4-SPS/CU (S is the spherical joint, P is the prismatic joint, C is the cylindrical joint, U is the universal joint) parallel mechanism is treated as a thin-plate element based on the absolute nodal coordinate formulation due to its physical characteristic. In order to eliminate high-frequency modes caused by the coupling between membrane and bending effects, the elastic mid-surface approach is used to evaluate the elastic force of the flexible moving platform. In order to formulate constraint equations between the flexible body and the rigid body, the tangent frame i
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44

Xu, Qingwei, and Zhoufeng Liu. "Application of Discrete Mathematical Model in Edge Distortion Correction of Moving Image." Discrete Dynamics in Nature and Society 2022 (April 23, 2022): 1–10. http://dx.doi.org/10.1155/2022/8676311.

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The existing edge distortion correction methods of moving images ignore the consistency of human subjective vision in the restoration process. Therefore, this study proposes an edge distortion correction method of moving images using a discrete mathematical model. According to the image binarization, the moving target region is segmented, the motion fuzzy degradation model is constructed by using the discrete mathematical model, the global structure information of the image is considered by the structure similarity, the image gradient is transformed from the rectangular coordinate system to th
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Zhu, Dong Fang, Qun Xing Su, and Peng Yuan Liu. "Research on Real-Time Moving Method of Electronic Equipment Virtual Maintenance Prototyping Model." Applied Mechanics and Materials 347-350 (August 2013): 1668–72. http://dx.doi.org/10.4028/www.scientific.net/amm.347-350.1668.

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For the purpose of convenient control in the process of realising Vitual Maintenance System based on EEVMP(Electronic Equipment Virtual Maintenance Prototyping), make an research on real-time moving method of mouse controling three-dimensional model. It analyzedes the process of coordinate transform.And then,explains the figure course of real-time model move. It realises the real-time model moving in a electronic equipment virtual maintence system in the end.
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46

Nesterovich, N. V., and A. G. Obukhov. "EQUIATION OF ENERGY WITH ALLOWANCE OF EFFECTS OF DISSIPATION IN CYLINDRYCAL COORDINATE SYSTEM." Oil and Gas Studies, no. 5 (November 1, 2017): 109–13. http://dx.doi.org/10.31660/0445-0108-2017-5-109-113.

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Complex flows of a viscous compressible heat-conducting gas in ascending swirling flows have a pro-nounced axial symmetry. Therefore, for the numerical solution of the complete system of Navier - Stokes equations to describe such gas flows, it is desirable to use a cylindrical coordinate system. The paper describes the transformation of the energy equation for a complete system of Navier - Stokes equations with allowance for the dissipative properties of a moving continuous medium. The result of the transformation is the formulation of the energy equation in a cylindrical coordinate system.
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47

Aftanaziv, I. S., I. G. Svidrak, L. I. Shevchuk, O. I. Strogan, and L. R. Strutynska. "Improvement of methods of interception of enemy UAVs." Scientific Messenger of LNU of Veterinary Medicine and Biotechnologies 25, no. 100 (2023): 112–17. http://dx.doi.org/10.32718/nvlvet-f10018.

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The main result of this work is the creation of a methodology for determining the coordinates, velocities and trajectories of spatial movements of moving objects by means of kinematic design and the development of principle schemes for the optimal placement of radar search equipment for the successful detection of enemy UAVs. Its purpose is to increase the defense capability of military units, populated areas of Ukraine and their infrastructure by resisting attacks by attack and sabotage reconnaissance unmanned aerial vehicles (UAVs). The protection scheme is based on the determination of coor
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48

Pylypaka, Serhii, Tatiana Volina, Andrii Nesvidomin, Vitaliy Babka, and Ivan Shuliak. "THE TRANSPORTATION OF THE MATERIAL PARTICLE BY THE VERTICAL AUGER." APPLIED GEOMETRY AND ENGINEERING GRAPHICS, no. 102 (June 27, 2022): 165–80. http://dx.doi.org/10.32347/0131-579x.2022.102.165-180.

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The functioning of machines deals with the interaction of the particles of the technological material with the working bodies of devices. Particles of the material are forced to choose a trajectory of sliding along the surface. Moreover, the surface of the working body can be movable, for example, it can make a rotational movement. In this case, the movement of the particle will consist of the relative movement of the particle (sliding of the particle along the surface) and the translational (rotational) movement of the surface itself. The relative motion of a particle is considered relatively
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Ono, Takeyuki, Ryosuke Eto, Junya Yamakawa, and Hidenori Murakami. "Analysis and control of a Stewart platform as base motion compensators - Part I: Kinematics using moving frames." Nonlinear Dynamics 107, no. 1 (2021): 51–76. http://dx.doi.org/10.1007/s11071-021-06767-8.

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AbstractKinematics and its control application are presented for a Stewart platform whose base plate is installed on a floor in a moving ship or a vehicle. With a manipulator or a sensitive equipment mounted on the top plate, a Stewart platform is utilized to mitigate the undesirable motion of its base plate by controlling actuated translational joints on six legs. To reveal closed loops, a directed graph is utilized to express the joint connections. Then, kinematics begins by attaching an orthonormal coordinate system to each body at its center of mass and to each joint to define moving coord
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Xi, Yongji, Juan Li, Lixin Guo, Wei Meng, and Shunkang Wen. "Fast Solution of Scattering and Micro-Doppler Features from Moving Target Using a Tailored Shooting and Bouncing Ray Method." Remote Sensing 15, no. 24 (2023): 5724. http://dx.doi.org/10.3390/rs15245724.

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In this paper, we present a tailored shooting and bouncing ray (SBR) method for the fast solution of electromagnetic (EM) scattering from a moving target. And, the micro-Doppler features of the moving target are investigated using a time-frequency analysis technique. In our method, a dynamic spatial division technique is employed to accelerate facet information processing and ray-tracing progress of the moving target. At first, the two coordinate systems are established, which are the geodetic coordinate system (GCS) and the local coordinate system (LCS). In GCS, the target is moving with tran
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