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Relevant bibliographies by topics / Vector-coordinate method

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Academic literature on the topic 'Vector-coordinate method'

Author: Grafiati

Published: 28 May 2022

Last updated: 31 July 2025

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Journal articles on the topic "Vector-coordinate method"

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Hathaway, R. J., and J. C. Bezdek. "Grouped coordinate minimization using Newton's method for inexact minimization in one vector coordinate." Journal of Optimization Theory and Applications 71, no. 3 (1991): 503–16. http://dx.doi.org/10.1007/bf00941400.

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Yan, Chaode, Wang Guo, and Aimin Li. "THE COORDINATE TRANSFORMATION METHOD OF HIGH RESOLUTION DEM DATA." ISPRS Annals of Photogrammetry, Remote Sensing and Spatial Information Sciences IV-3 (April 23, 2018): 239–44. http://dx.doi.org/10.5194/isprs-annals-iv-3-239-2018.

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Coordinate transformation methods of DEM data can be divided into two categories. One reconstruct based on original vector elevation data. The other transforms DEM data blocks by transforming parameters. But the former doesn’t work in the absence of original vector data, and the later may cause errors at joint places between adjoining blocks of high resolution DEM data. In view of this problem, a method dealing with high resolution DEM data coordinate transformation is proposed. The method transforms DEM data into discrete vector elevation points, and then adjusts positions of points by bi-lin

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Ziegler, Franz, and Piotr Borejko. "The Method of Generalized Ray-Revisited." Journal of Mechanics 16, no. 2 (2000): 125–26. http://dx.doi.org/10.1017/s1727719100001696.

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In Section 2, ROTATION OF COORDINATES, the Authors derived the emittance functions in the Weyl-Sommerfeld representation of the wave potentials for a horizontal instantaneous single force from those known for a vertical force from conditions of invariance of the phase and amplitude of plane waves under coordinate rotation, Eqs. (10) ∼ (13) and (18) ∼ (20). That transformation implies the validity of the commonly applied identity for the (force) vector components when rotating the vector in the opposite sense to the coordinate rotation. Further, in the three-dimensional case, the vertical force

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Tleuzhanov, A. B., and D. B. Toybazarov. "METHODOLOGICAL FEATURES OF TEACHING THE VECTOR METHOD IN A SCHOOL GEOMETRY COURSE." Vestnik of M. Kozybayev North Kazakhstan University, no. 4 (60) (February 1, 2024): 70–77. http://dx.doi.org/10.54596/2958-0048-2023-4-70-77.

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The article describes the main methodological features of teaching “vector methods” in a school geometry course. In order to increase the efficiency of teaching students the vector method, the connections between the vector method and coordinate methods are analyzed. Examples of solving algebraic and geometric problems using the vector method were shown, showing the scope of vector studies covered in the school course. A brief overview of the history of the development of the vector method is given. The article is recommended for students, school teachers, methodologists and all interested par

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Chelnokov, Yu N., and A. V. Molodenkov. "Quaternion Algorithm for Initial Alignment of Strapdown INS Using the A. N. Tikhonov Regularization Method." Mekhatronika, Avtomatizatsiya, Upravlenie 22, no. 4 (2021): 217–24. http://dx.doi.org/10.17587/mau.22.217-224.

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For the functioning of algorithms of inertial orientation and navigation of strapdown inertial navigation system (SINS), it is necessary to conduct a mathematical initial alignment of SINS immediately before the operation of these algorithms. An efficient method of initial alignment (not calibration!) of SINS is the method of vector matching. Its essence is to determine the relative orientation of the instrument trihedron Y (related to the unit of SINS sensors) and the reference trihedron X according to the results of measuring the projections of at least two non-collinear vectors of the axes

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Han, Zhao Lin, and Mao Xing Yuan. "Research on the Vector Measure Method of Coordinate Measuring Machine." Key Engineering Materials 561 (July 2013): 572–75. http://dx.doi.org/10.4028/www.scientific.net/kem.561.572.

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When we use Coordinate Measuring Machine to measure some points of the workpieces, the wrong measuring method will get the poor repeatability and poor reproducibility of measurement results. Now the vector measure of the CMM is a more convenient way. The main principles are analyzed in this paper, and a workpiece is measured for example.

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Zhou, Xue Song, Da Yan Wang, and You Jie Ma. "Deduction of Coordinate Transform for Instantaneous Reactive Power Theory." Applied Mechanics and Materials 641-642 (September 2014): 1219–22. http://dx.doi.org/10.4028/www.scientific.net/amm.641-642.1219.

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By means of building up a three-dimension coordinate system in vector space, the coordinate transform used in instantaneous reactive power theory (IRPT) proposed by H. Akagi is deduced and through spatial coordinate transform two equivalent three-dimension coordinate systems are obtained. After rigorous mathematical deduction the transformation factor for above-mentioned three-dimension coordinate systems is achieved, thus the coefficient deduction for IRPT is solved and the zero-sequence quantity expressing three-phase asymmetrical system is directly obtained. By use of the theory of rotating

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Jin, Xin, Xin Liu, Jinyun Guo, Maosheng Zhou, and Kezhi Wu. "A Novel All-Weather Method to Determine Deflection of the Vertical by Combining 3D Laser Tracking Free-Fall and Multi-GNSS Baselines." Remote Sensing 14, no. 17 (2022): 4156. http://dx.doi.org/10.3390/rs14174156.

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The bright stars in the clear night sky with weak background lights should be observed in the traditional deflection of the vertical (DOV) measurement so that the DOV cannot be observed under all-weather conditions, which limits its wide applications. An all-weather DOV measurement method combining three-dimensional (3D) laser tracking free-fall and multi-GNSS baselines is proposed in this paper. In a vacuum environment, the 3D laser tracking technique is used to continuously track and observe the motion of free-fall with high frequency and precision for obtaining 3D coordinate series. The plu

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Mohazzabi, P. "Tutorial / Article didactique Derivatives of curvilinear coordinate unit vectors: A concise matrix-vector approach." Canadian Journal of Physics 77, no. 12 (2000): 969–83. http://dx.doi.org/10.1139/p99-073.

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The time evolution of a curvilinear coordinate system can be identifiedwith an angular velocity matrix or vector, which contains the complete differentiationrule for all unit coordinate vectors of the curvilinear system, providinga concise method for their computations. When generalized the technique provides a powerful tool fordifferentiation, with respect to any parameter, of not only unit coordinate vectors but any vector that remains fixed in a general orthogonal curvilinear coordinate system. Several curvilinear systems, as well as the normal and tangentialcoordinate system are examined.P

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Liu, Hong Jun, Jing Yu Cao, and Ji Bin Zhao. "Research of the Tool Orientation Optimization with Kinematical Constraints." Advanced Materials Research 712-715 (June 2013): 2143–48. http://dx.doi.org/10.4028/www.scientific.net/amr.712-715.2143.

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Drastic change of the tool axis vector for five-axis CNC machining due to avoid global interference, proposed gentle forward, over-backward correction method to optimize the tool axis vector. Established a machine tool axis of rotation angular velocity constraints, and feed coordinate system, through the feed coordinate system adjust the inclination angle and swing angle of the existing tool axis vector to make the tool axis vector change between each adjacent cutter contact points satisfy the machine axis of rotation kinematics constraints and to ensure the continuity of feed rate during proc

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Dissertations / Theses on the topic "Vector-coordinate method"

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Чернова, О., та А. І. Азаренкова. "Векторно-координатний метод розв’язання задач". Thesis, Видавництво СумДУ, 2009. http://essuir.sumdu.edu.ua/handle/123456789/13392.

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Hsieh, Cho-Jui, and 謝卓叡. "Coordinate Descent Method for Large-scale L2-loss Linear Support Vector Machines." Thesis, 2009. http://ndltd.ncl.edu.tw/handle/10847627332674027559.

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碩士<br>國立臺灣大學<br>資訊工程學研究所<br>97<br>Linear support vector machines (SVM) are useful for classifying large-scale sparse data. Problems with sparse features are common in applications such as document classi cation and natural language processing. In this thesis, we propose a novel coordinate descent algorithm for training linear SVM with the L2-loss function. At each step, the proposed method minimizes a one-variable sub-problem while fixing other variables. The sub-problem is solved by Newton steps with the line search technique. The procedure globally converges at the linear rate. As each sub-p

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Tu, Chen-Pang, and 涂振邦. "A Study of Using Coordinate Vector Correction Method to Reduce the Difference of Digitalized Graphic Cadastral Maps between Digitalized Area and Registered Area." Thesis, 2013. http://ndltd.ncl.edu.tw/handle/49507925377251884555.

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博士<br>國立中興大學<br>土木工程學系所<br>101<br>The parameter coordinate transformation in any mode regards the whole transformation region as coordinate adjustment under the same condition; in fact, the practical errors and ideal corrected values have not been discussed "specifically". The coordinate vector correction method (CVCM) proposed in this study uses the geometrical relationship between "area" and "point" to further correct specific point coordinates, making up the blind spots resulted from overall coordinate transformation. It is a new theoretical method for coordinate transformation. The experim

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Lu, Tzu-Tai, and 呂子泰. "A Study of using Coordinate Vector Correction Method to improve the result of digitized cadastral maps and compare with re-surveyed cadastral maps." Thesis, 2014. http://ndltd.ncl.edu.tw/handle/45614026700079947440.

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碩士<br>國立中興大學<br>土木工程學系所<br>102<br>In recent years, Taiwan has the effect of changes in the social structure,the land prices of the city keep rising. Owing to the problem of changing the land area(increase or decrease)in the Land Resurveying,the land area didn''t conform to register is the most important problem that people can''t accept. For this reason,we use CVCM to correct the coordinates by using area and point, enable the problem of every parcel corner composing the land area didn''t conform to register can be slove and get effectively reduce in this study. A

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Chang, Kai-Wei, and 張凱崴. "Dual Coordinate Descent Methods for Large-scale Linear Support Vector Machines." Thesis, 2009. http://ndltd.ncl.edu.tw/handle/07045364917408800958.

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碩士<br>國立臺灣大學<br>資訊工程學研究所<br>97<br>In many applications, data appear with a huge number of instances as well as features. Linear Support Vector Machines (SVM) is one of the most popular tools to deal with such large-scale sparse data. In this thesis, we present a novel dual coordinate descent method for linear SVM with L1- and L2-loss functions. The proposed method is simple and reaches an e-accurate solution in O(log (1/e)) iterations. Experiments indicate that our method is much faster than state of the art solvers such as Pegasos, TRON, SVMperf, and a recent primal coordinate descent impleme

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Кравченко, Анастасія Віталіївна. "Аналіз методів розв’язання афінних та метричних задач". Магістерська робота, 2020. https://dspace.znu.edu.ua/jspui/handle/12345/4889.

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Кравченко А. В. Аналіз методів розв’язання афінних та метричних задач : кваліфікаційна робота магістра спеціальності 111 "Математика" / наук. керівник Є. В. Стєганцев. Запоріжжя : ЗНУ, 2020. 43 с.<br>UA : Кваліфікаційна робота магістра : 43 с., 12 рис., 12 джерел. Об’єкт дослідження – афінні та метричні задачі. Мета роботи: дослідити ефективність методів розв’язання афінних та метричних задач. Метод дослідження – аналітичний. У кваліфікаційній роботі наведені традиційний, векторний, координатний методи розв’язання метричних та афінних задач. Досліджено, які методи є

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Book chapters on the topic "Vector-coordinate method"

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Xu, Jianhua. "A Random Block Coordinate Descent Method for Multi-label Support Vector Machine." In Neural Information Processing. Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-42042-9_36.

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Huang, Rujin, Genhou Wang, Jiahao Tian, and Quanping Zhang. "Open-Pit Image Detection Based on Improved Faster – RCNN." In Lecture Notes in Civil Engineering. Springer Nature Singapore, 2024. http://dx.doi.org/10.1007/978-981-97-8401-1_23.

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AbstractRemote sensing image open-pit mine monitoring is usually affected by speckle noise, multi-scale and other factors due to the limitations of landform and other conditions, and faces the problem of low availability of monitoring area effect. Therefore, this paper introduces an improved regional convolution neural network method. The network thinning process and the improved conditional random field are proposed respectively as a circular neural network, and the accurate classification and coordinate positioning of the target are completed by establishing the network thinning process in t

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Ma, Hongming, Zhibin Kang, and Yang Liu. "Research on Speed Sensorless Vector Control of Permanent Magnet Synchronous Motor." In Advances in Transdisciplinary Engineering. IOS Press, 2024. http://dx.doi.org/10.3233/atde240221.

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At present, permanent magnet synchronous motor is widely used in industry. High performance permanent magnet synchronous motor control strategy has become the focus of research and development of researchers all over the world, and the position sensorless control of synchronous motor has become an important development trend in the future. Based on this, this paper proposes a sensorless vector control method of Luenberger observer in DQ coordinate system. Firstly, based on the vector control mathematical model of synchronous motor in DQ coordinate system, Luenberger observer in DQ coordinate s

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Tai, Chen-To. "Vector Analysis in Space." In Generalized Vector and Dyadic Analysis. Oxford University PressOxford, 1996. http://dx.doi.org/10.1093/oso/9780198592143.003.0004.

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Abstract This is the most important chapter in the entire book. A new method, designated the symbolic vector method, in treating vector analysis will be introduced. The main advantages of this method are the differential expressions of the three key functions in vector analysis are derived based on one basic formula, all of the integral theorems in vector analysis are deduced from one generalized theorem, the commonly used vector identities are found by an algebraic method without pedorming any differentiation, and two differential operators in the curvilinear coordinate system are introduced.

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"Coordinate Systems." In P-Vector Inverse Method. Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/978-3-540-33386-9_4.

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Roe, John. "Solid geometry." In Elementary Geometry. Oxford University PressOxford, 1993. http://dx.doi.org/10.1093/oso/9780198534570.003.0008.

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Abstract In this chapter we will use vector methods to study the geometry of three dimensions, traditionally known as solid geometry. As we did for plane geometry, we will begin by discussing the concept of orientation. In two dimensions, an orientation specifies a ‘positive direction of rotation’ (6.1.2), and thereby divides the possible coordinate systems into right-handed and left handed. In three dimensions, we will find that an orientation makes possible a similar distinction between right-handed and left-handed coordinate systems.

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Lu, Guoqiang, Chunmeng Chen, Dongning Zhao, and Jian Zhang. "Research on Grid-Connected Active Control Technology of Photovoltaic Power Generation System." In Frontiers in Artificial Intelligence and Applications. IOS Press, 2024. http://dx.doi.org/10.3233/faia231269.

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In this study, the mathematical model of photovoltaic inverter is established, and the principle and structure of two-stage photovoltaic power generation system are analyzed by using coordinate transformation and feedforward decoupling control methods. Under the premise of grid voltage vector orientation, based on the instantaneous power theory, the active power support and reactive power compensation control strategy of photovoltaic power generation is established. Finally, the simulation model is constructed for experimental analysis. The experimental results show that the control strategy c

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Conference papers on the topic "Vector-coordinate method"

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Kamandi, Ahmad, Mohammad M. AlyanNezhadi, and Zahra Amiri. "An Accelerated Coordinate Descent Method for Support Vector Machine." In 2022 8th Iranian Conference on Signal Processing and Intelligent Systems (ICSPIS). IEEE, 2022. http://dx.doi.org/10.1109/icspis56952.2022.10043989.

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Youm, Y., and T. Yih. "On the Displacement Analysis of Open-Loop Systems by the Direction Cosine Matrix Method." In ASME 1987 Design Technology Conferences. American Society of Mechanical Engineers, 1987. http://dx.doi.org/10.1115/detc1987-0108.

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Abstract In this paper, displacement analysis of a general spatial open-loop system and a computer algorithm for the workspace of the system are developed by applying the direction cosine matrix method. In using this method, one global coordinate system and two joint local coordinate systems must be predefined in order to formulate the direction cosine transformation matrices of the unit vectors of each joint axis and link vector. The 3 × 3 direction cosine transformation matrices for each joint axis and link vector are established based on the known geometric configurations, the preceding uni

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Murakami, Hidenori, and Takeyuki Ono. "A Variational Derivation of Equations of Motion With Contact Constraints Using SE(3)." In ASME 2018 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/imece2018-87126.

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For rigid-body systems subjected to non-holonomic constraints, a streamlined method is presented to derive a minimum number of analytical equations of motion. To illustrate the method, a rolling disk problem is considered. In kinematics, an orthonormal coordinate system is attached to the center of mass together with additional coordinate systems introduced to define the connection path. For each coordinate system, a moving frame is defined by explicitly writing the coordinate vector basis and the position vector of the origin, whereby the attitude of the coordinate vector basis and the coordi

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Shabana, Ahmed A., and Aki M. Mikkola. "Modeling of Slope Discontinuities in Flexible Body Dynamics Using the Finite Element Method." In ASME 2002 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2002. http://dx.doi.org/10.1115/detc2002/dac-34094.

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A large rigid body rotation of a finite element can be described by changing the definition of the axes of the element coordinate system or by keeping the axes unchanged and change the slopes or the position vector gradients. In the first method, the definition of the local element parameters (spatial coordinates) changes with respect to a body or a global coordinate system. The use of this method will always lead to a nonlinear mass matrix and non-zero centrifugal and Coriolis forces. The second method, in which the axes of the element coordinate system do not rotate with respect to the body

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Fallahi, Behrooz, S. Lai, and C. Venkat. "A Finite Element Formulation of Flexible Slider Crank Mechanism Using Local Coordinates." In ASME 1994 Design Technical Conferences collocated with the ASME 1994 International Computers in Engineering Conference and Exhibition and the ASME 1994 8th Annual Database Symposium. American Society of Mechanical Engineers, 1994. http://dx.doi.org/10.1115/detc1994-0271.

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Abstract The need for higher productivity has lead to the design of machines operating at higher speeds. At high speed the rigid body assumption is no longer valid and the links should be considered flexible. In this work a method which is based on Modified Lagrange Equation for modeling flexible mechanism is presented. The method posses a more computational efficiency for not requiring the transformation from the local coordinate system to the global coordinate system. Also an approach using the homogeneous coordinate for element matrices generation is presented. The approach leads to a forma

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Jazar, Reza N., A. Khazaei, and M. Mahinfalah. "Razi Acceleration in Kinematics." In ASME 2011 International Mechanical Engineering Congress and Exposition. ASMEDC, 2011. http://dx.doi.org/10.1115/imece2011-63007.

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The time derivative of vectors depends on the coordinate frame in which the vector is expresses and the coordinate frame in which the derivative is taken. By redefining and expanding the Euler’s derivative transformation formula, we introduce the general theory of derivative and coordinate frames using a proper notation method. Introducing three coordinate frames, we show that the Coriolis acceleration is actually the addition of two different accelerations. Furthermore, a new acceleration term appears that we call it Razi acceleration.

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Fogle, Martin A., and J. Kirk Wu. "A Relative Coordinate Formulation for Variational Solid Modeling." In ASME 1990 Design Technical Conferences. American Society of Mechanical Engineers, 1990. http://dx.doi.org/10.1115/detc1990-0102.

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Abstract A minimal formulation using relative coordinates is presented for variational solid modeling. Computational methods developed for the kinematic modeling of mechanical systems are used to derive a minimal problem formulation. First, the concept of arbitrary coordinates is introduced to reduce the dimension of the constraint vector. Next, the variational problem is divided into two sub-problems. This is done by modeling the problem as a graph, which is then analyzed to identify open loops and decoupled loops. The third method used to reduce the size of the variational problem is to tran

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Miyata, Hitoshi, Chinao Yamaike, Toshifumi Kurata, and Eikou Gonda. "Control of an IPMSM with Low Resolution Position Sensor." In 1st International Electric Vehicle Technology Conference. Society of Automotive Engineers of Japan, 2011. http://dx.doi.org/10.4271/2011-39-7253.

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<div class="section abstract"><div class="htmlview paragraph">Many studies on Electric Vehicle (EV), recently, are actively proceeded as one of the solutions of environmental problem. We are aiming at constructing vector control system for an Interior Permanent Magnet Synchronous Motor (IPMSM) that is employed a small EV for our test bed. In the vector control, since fundamental equations of IPMSM in stationary coordinate are transformed into rotational coordinate, IPMSM that is one of the AC motor is considered DC motor and various calculations are simplified. In order to apply th

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Shabana, Ahmed A., Hussien A. Hussien, and José L. Escalona. "Absolute Nodal Coordinate Formulation." In ASME 1997 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/detc97/vib-4227.

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Abstract There are three basic finite element formulations, which are used in multibody dynamics. These are the floating frame reference approach, the incremental method and the large rotation vector approach. In the floating frame of reference and incremental formulations, the slopes are assumed small in order to define infinitesimal rotations that can be treated and transformed as vectors. This description, however, limits the use of some important elements such as beams and plates in a wide range of large displacement applications. As demonstrated in some recent publications, if infinitesim

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Murakami, Hidenori. "A Moving Frame Method for Multi-Body Dynamics Using SE(3)." In ASME 2015 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/imece2015-51192.

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To describe the configuration of a multi-body system, Cartesian coordinate systems are attached to all bodies comprising the system. Their connections through joints and force elements are efficiently expressed by using 4×4 matrices of the homogeneous transformation, presented by Denavit and Hartenberg in 1955. However, at this time, there is no systematic method to compute velocities and angular velocities using the matrices of such homogeneous transformations. In this paper, homogeneous transformation matrices are identified as a subset of a Lie group, called the special Euclidean group deno

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