Relevant bibliographies by topics / Polar coordinates system

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Polar coordinates system'

Author: Grafiati
Published: 4 June 2021
Last updated: 1 February 2022

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Journal articles on the topic "Polar coordinates system"

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

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Abstract An essential aspect of the safety of navigation is avoiding collisions with other vessels and natural or man made navigational obstructions. To solve this kind of problem the navigator relies on automatic anti-collision ARPA systems, or uses a geometric method and makes radar plots. In both cases radar measurements are made: bearing (or relative bearing) on the target position and distance, both naturally expressed in the polar coordinates system originating at the radar antenna. We first convert original measurements to an ortho-Cartesian coordinate system. Then we solve collision avoiding problems in rectangular planar coordinates, and the results are transformed to the polar coordinate system. This article presents a method for an analysis of a collision situation at sea performed directly in the polar coordinate system. This approach enables a simpler geometric interpretation of a collision situation
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Walton, Karen Doyle, and J. Doyle Walton. "Microcomputer-Assisted Mathematics: Computer-Assisted Polar Graphing." Mathematics Teacher 80, no. 3 (March 1987): 246–50. http://dx.doi.org/10.5951/mt.80.3.0246.

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Faced with the dilemma of how to teach polar coordinates? Whether the subject is being introduced at the secondary school or college level, the problem is the same. At either level, the objectives include the following; (1) introduce a new coordinate system, relating (x, y) rectangular coordinates to (r, Q) polar coordinates; (2) enable the students to plot polar equations; (3) acquaint students with standard types of polar graphs; and (4) find points of intersection of two polar graphs. This article presents a method of using the microcomputer to teach polar coordinates and graphing in an effective, interesting way, avoiding the drudgery of having students plot hundreds of points.
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Wade, W. R. "A Walsh system for polar coordinates." Computers & Mathematics with Applications 30, no. 3-6 (September 1995): 221–27. http://dx.doi.org/10.1016/0898-1221(95)00100-x.

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Lei, Kin, Dongxu Qi, and Xiaolin Tian. "A New Coordinate System for Constructing Spherical Grid Systems." Applied Sciences 10, no. 2 (January 16, 2020): 655. http://dx.doi.org/10.3390/app10020655.

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In astronomy, physics, climate modeling, geoscience, planetary science, and many other disciplines, the mass of data often comes from spherical sampling. Therefore, establishing an efficient and distortion-free representation of spherical data is essential. This paper introduces a novel spherical (global) coordinate system that is free of singularity. Contrary to classical coordinates, such as Cartesian or spherical polar systems, the proposed coordinate system is naturally defined on the spherical surface. The basic idea of this coordinate system originated from the classical planar barycentric coordinates that describe the positions of points on a plane concerning the vertices of a given planar triangle; analogously, spherical area coordinates (SACs) describe the positions of points on a sphere concerning the vertices of a given spherical triangle. In particular, the global coordinate system is obtained by decomposing the globe into several identical triangular regions, constructing local coordinates for each region, and then combining them. Once the SACs have been established, the coordinate isolines form a new class of global grid systems. This kind of grid system has some useful properties: the grid cells exhaustively cover the globe without overlapping and have the same shape, and the grid system has a congruent hierarchical structure and simple relationship with traditional coordinates. These beneficial characteristics are suitable for organizing, representing, and analyzing spatial data.
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Kaffka, Károly J., and László S. Gyarmati. "Investigating the Polar Qualification System." Journal of Near Infrared Spectroscopy 6, A (January 1998): A191—A200. http://dx.doi.org/10.1255/jnirs.193.

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A new, rapid qualification method was introduced at the 3rd International Conference on Near Infrared Spectroscopy according to which a “quality point” was defined on a two-dimensional “quality plane”. The quality point of the investigated material was given by the center of its spectrum represented in a polar coordinate system. The method was further developed, three interpretations were given for the “center” of the polar spectrum, resulting in three different formulas for determining the x and y coordinates of the quality point. The effect of the change in the amplitude of the absorption peaks, the effect of the noise of the spectrum, the effect of the shifting and tilting the base-line of the spectrum on the location of the quality point were investigated using the three formulas. The results of the investigation and the characteristic features of the three formulas are introduced.
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Kilner, Steven J., and David L. Farnsworth. "Parabolic coordinates." Mathematical Gazette 105, no. 563 (June 21, 2021): 226–36. http://dx.doi.org/10.1017/mag.2021.51.

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An important first step in understanding or solving a problem can be the selection of coordinates. Insight can be gained from finding invariants within a class of coordinate systems. For example, an important feature of rectangular coordinates is that the Euclidean distance between two points is an invariant of a change to another rectangular system by a rigid motion, which consists of translations, rotations and reflections. Indeed, the form of the distance function is an invariant. In calculus courses, students learn about polar coordinates, so that useful curves can be simply expressed and more easily studied.
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Yousif, Sami R., and Frank C. Keil. "The Shape of Space: Evidence for Spontaneous but Flexible Use of Polar Coordinates in Visuospatial Representations." Psychological Science 32, no. 4 (March 15, 2021): 573–86. http://dx.doi.org/10.1177/0956797620972373.

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What is the format of spatial representation? In mathematics, we often conceive of two primary ways of representing 2D space, Cartesian coordinates, which capture horizontal and vertical relations, and polar coordinates, which capture angle and distance relations. Do either of these two coordinate systems play a representational role in the human mind? Six experiments, using a simple visual-matching paradigm, show that (a) representational format is recoverable from the errors that observers make in simple spatial tasks, (b) human-made errors spontaneously favor a polar coordinate system of representation, and (c) observers are capable of using other coordinate systems when acting in highly structured spaces (e.g., grids). We discuss these findings in relation to classic work on dimension independence as well as work on spatial representation at other spatial scales.
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Odo, Satoru, and Kiyoshi Hoshino. "Hand Shape Recognition using Higher Order Local Autocorrelation Features in Log Polar Coordinate Space." Journal of Robotics and Mechatronics 15, no. 3 (June 20, 2003): 286–92. http://dx.doi.org/10.20965/jrm.2003.p0286.

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The friendly communication can be more promoted between the human and computer if the function of gesture recognition is implemented to the computer system as the input interface along with the keyboards and mice. We propose a mouse-like function for estimating hand shape from input images with a monocular camera, with which a computer user feels no restraint or awkwardness. Our system involves conversion of sequential images from Cartesian coordinates to log-polar coordinates. Temporal and spatial subtractions and color information are used to extract the hand region. The origin of log-polar coordinates is chosen as the center of the acquired image, but once the hand has been extracted, the estimated centroid position of the hand region in the next frame, obtained from the current hand position and speed, is used as the origin to convert. Recognition of the hand shape is carried out by multiple regression analysis using higher order local autocorrelation features of log-polar coordinate space. Mouse-like functions are realized according to the hand shape and motion trajectory. Compared to conventional Cartesian coordinates, conversion to log-polar coordinates enables us to reduce image date and computation time, remove the variability by the scaling, and improve antinoise characteristics.
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Mohanty, R. K., Rajive Kumar, and Vijay Dahiya. "Cubic Spline Iterative Method for Poisson’s Equation in Cylindrical Polar Coordinates." ISRN Mathematical Physics 2012 (February 12, 2012): 1–11. http://dx.doi.org/10.5402/2012/234516.

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Using nonpolynomial cubic spline approximation in x- and finite difference in y-direction, we discuss a numerical approximation of O(k2+h4) for the solutions of diffusion-convection equation, where k>0 and h>0 are grid sizes in y- and x-coordinates, respectively. We also extend our technique to polar coordinate system and obtain high-order numerical scheme for Poisson’s equation in cylindrical polar coordinates. Iterative method of the proposed method is discussed, and numerical examples are given in support of the theoretical results.
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Zakarevičius, Algimantas, Vladislovas Česlovas Aksamitauskas, Algimantas Jakučionis, and Arminas Stanionis. "DETERMINATION OF GEOGRAPHIC POSITION OF OBJECT BY APPLYING 3D POLAR OBSERVATIONS." Aviation 14, no. 2 (June 30, 2010): 43–48. http://dx.doi.org/10.3846/aviation.2010.07.

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The geographic position of an object is determined by geodetic latitude, geodetic longitude, geodetic and normal height, and height of the object above the surface of the earth. To determine the geographic position of an object, a technologic scheme is recommended: by applying 3D polar observations, the 3D Cartesian coordinates of the object in the local horizontal coordinate system (for example, with an airport runway tied system) are determined; local horizontal 3D Cartesian coordinates are recomputed into the system of geocentric equatorial 3D Cartesian coordinates; the geodetic coordinates (geodetic latitude, geodetic longitude, and geodetic height) are computed from the geocentric equatorial 3D Cartesian coordinates; based on information about geodetic height and the digital geoid model, the normal height of the object is computed; and object height above the earth is computed from normal height and the digital terrain model. Algorithms for the realisation of this technologic scheme are presented. Santrauka Objekto geografine padetis apibūdinama geodezine platuma, geodezine ilguma, geodeziniu bei normaliniu aukščiais ir objekto aukščiu virš Žemes paviršiaus. Objekto geografinei padečiai nustatyti rekomenduojama tokia technologine schema: taikant erdvinius polinius matavimus, nustatomos objekto erdvines stačiakampes koordinates vietineje (pvz., oro uosto) horizontineje koordinačiu sistemoje; vietines horizontines erdvines stačiakampes koordinates perskaičiuojamos i geocentriniu ekvatoriniu erdviniu stačiakampiu koordinačiu sistema; pagal geocentrines ekvatorines erdvines stačiakampes koordinates apskaičiuojamos geodezines koordinates (geodezine platuma, geodezine ilguma ir geodezinis aukštis); žinant geodezini aukšti ir turint skaitmenini geoido modeli, skaičiuojamas objekto normalinis aukštis; turint normalini aukšti ir skaitmenini reljefo modeli, apskaičiuojamas objekto aukštis virš Žemes paviršiaus. Pateikiami algoritmai šiai technologinei schemai realizuoti.
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Dissertations / Theses on the topic "Polar coordinates system"

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Stanque, Edson Luis. "DIVISÃO DE POLÍGONOS IRREGULARES DO ELIPSÓIDE BIAXIAL NA SUPERFÍCIE DA PROJEÇÃO AZIMUTAL EQUIVALENTE DE LAMBERT." Universidade Federal de Santa Maria, 2007. http://repositorio.ufsm.br/handle/1/9485.

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This dissertation supplies the methodology of the measure (area) in the Earth model adopted for Geodesy. This model is the ellipsoid of revolution, in which the system of Cartesian coordinates, the curvilinear coordinate system and the polar coordinate system are described. The coordinate nature in the development of the surface measure calculation is discussed. The following demonstrations are illustrated: the ellipse equation, the eccentricity of the ellipse, the meridian section curvature radius equation, the meridian transversal section curvature radius equation and elliptic integral. It define algebraic geodesic line and geometrically. The juridical basis are the article 3º of Brazilian Federal Law 10.267/2001, which modify article 176 of the Brazilian Federal Law 6.015/1973 (Public Record Law) and adds to this article the paragraphs 3º and 4º, the paragraph 3º of article 225 of the Brazilian Law 6.015/1973 and the article 971 of the Código de Processo Civil (CPC), which require the coordinates of the corners of the real property on the Brazilian Geodetic System (SGB). The partitioning of the regular ellipsoid quadrilateral and the partitioning of the irregular ellipsoid quadrilateral located in the real property Pó de Serra is presented. To become this partitioning, it was used surface of the Lambert azimuthal equal-area projection, i. e., the curvilinear geodetic coordinates in plane coordinates has been transformed. The surface partitioning was determined using the method area equation of the Gauss trapezes connected with the equation of the straight line. The direct problem of the Lambert azimuthal equal-area projection and the inverse problem supply the methodology that become feasible the juridical exigence (articles 176 and 225 of Brazilian Federal Law 6.015/1973 and article 971 of the CPC). The methodology to the geodetic coordinates system with the purpose to calculate the partitioned areas of surface on the ellipsoid can be applied. The calculation of surface measure supplies the effective practice of the mencioned juridical basis.
O propósito deste trabalho é fornecer os fundamentos de cálculo de medida de superfície (área) no modelo de Terra adotado pela Geodésia. Esse modelo é o elipsóide de revolução ao qual se vincula o sistema de coordenadas cartesianas, o sistema de coordenadas curvilíneas e o sistema de coordenadas polares. Discute a natureza das coordenadas no desenvolvimento do cálculo da medida de superfície. Efetuam-se as seguintes demonstrações: equação da elipse, equação da excentricidade da elipse, equação do raio de curvatura da seção meridiana, equação do raio de curvatura da seção transversal meridiana e integral elíptica. Define linha geodésica algébrica e geometricamente. Apresentam-se os instrumentos legais que são o artigo 3º da Lei 10.267/2001, o qual altera o artigo 176, inciso II da Lei 6.015/1973 (Lei de Registros Públicos) e acrescenta a este artigo os parágrafos 3º e 4º, o parágrafo 3º do artigo 225 da Lei 6.015/1973 e o artigo 971 do Código de Processo Civil (CPC), os quais vinculam as coordenadas dos vértices do imóvel ao Sistema Geodésico Brasileiro (SGB). Efetuam-se a divisão do quadrilátero elipsóidico regular e também do quadrilátero elipsóidico irregular localizado na gleba Pó de Serra. Para se fazer esta divisão, usou-se a superfície da projeção azimutal equivalente de Lambert, ou seja, as coordenadas elipsóidicas curvilíneas foram transformadas em coordenadas planas desse sistema de projeção. A divisão destas superfícies foi efetuada pelo método da equação da área dos trapézios de Gauss em conjunto com a equação da reta. Os problemas direto e inverso da projeção azimutal equivalente de Lambert fornecem a metodologia que tornam exeqüíveis os dispositivos legais (artigos 176 e 225 da Lei 6.015/1973 e artigo 971 do CPC). A metodologia de cálculo proposto pode ser aplicada ao sistema de coordenadas geodésicas com a finalidade de calcular as áreas de uma divisão de superfície no elipsóide. Os fundamentos do cálculo de medida de superfície instrumentalizam o efetivo cumprimento dos dispositivos legais retrocitados.
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MIYABO, Susumu, Toru NAKAMURA, Yasushi ISHII, Toshihiro MISAWA, Joan Dae LEE, Hisatoshi MAEDA, 進. 宮保, et al. "極座標による心筋Tｌ-201Bull's-eye表示の試み." 日本核医学会, 1988. http://hdl.handle.net/2237/19427.

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Naser, Inam. "Rotated Polar Coordinate system, its Solid Vector Mathematical Operations, and 3-D Unsharp Masking and Gradient-Based Laplacian Spatial Filters of a Field of Vectors for Geometrical Edges Detection." University of Cincinnati / OhioLINK, 2020. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1592135647774656.

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Soares, Vanessa Ribeiro. "Batalha naval e suas aplicações." Universidade Federal de Goiás, 2016. http://repositorio.bc.ufg.br/tede/handle/tede/5909.

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This work has the purpose contribute to the improvement in some teaching contents of analytic geometry and trigonometry in high school . The content work was based on the National Curriculum Parameters, highlighting de nitions, theorems and properties necessary for the development of student learning. The theme was chosen after a practical experience involving the Naval Battle game in order to reduce the students' di culties. The playful work, as the game, has a practical application that does the student become familiar with the content. That's an interesting way to propose problems and solutions involving the content. Thus becomes something attractive to the student and encourages creativity in nding problems solutions.
O trabalho tem como objetivo contribuir para o aprimoramento no ensino de alguns conteúdos de Geometria Analítica e Trigonometria no Ensino Médio. Dentro dos Parâmetros Curriculares Nacionais, trabalhamos o conteúdo destacando de nições, teoremas e propriedades necessárias para o desenvolvimento de aprendizagem do aluno. O tema foi escolhido depois de uma experiência prática envolvendo o jogo Batalha Naval a m de diminuir as di culdades dos alunos. O trabalho lúdico, como o jogo, tem uma aplicação prática que faz o aluno se familiarizar com os conceitos. É uma forma interessante de propor problemas e soluções envolvendo o conceitos. Assim se torna algo atrativo para o aluno e favorece a criatividade na busca de soluções para os problemas.
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Huang, Ying-Chen, and 黃英誠. "A Cost Efficient Design of Polar Coordinates Based MIMO STBC FEQ for IEEE 802.16 OFDM System." Thesis, 2007. http://ndltd.ncl.edu.tw/handle/44288938673019508115.

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碩士
國立中央大學
電機工程研究所
95
Wireless communication has been one of the most popular fields due to its enormously potential opportunities. Among the techniques involved in such an area, the Multiple-Input Multiple-Output (MIMO) has emerged as one of the hotest issues discussed recently in virtue of its high transmission rate as well as fine transmission quality. Many groups worldwide are dedicated their vigor to the improvement in such a technique. In this thesis the discussions of physical-layer techniques with respect to the space-time coding for MIMO-OFDM system in IEEE 802.16 are addressed. To resolve the higher hardware implementation cost in MIMO compared with the Single-Input Single-Output (SISO), a coordinate transformation has been employed to translate the STBC decoding of Cartesian coordinates into the decoding of polar coordinates. In addition, a new LMS channel tracking algorithm, aimed at the effect of channel time variations, is proposed to conduct tracking for time-variant channel. A transmitter platform as well as a channel model was built by C programming. Simulations and actual implementations for channel estimation, STBC decoding, and LMS channel tracking algorithm have also been carried out in C and Verilog.
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Liu, Hung-Liang, and 劉烘良. "Contouring Control of Biaxial Systems Based on Polar Coordinates." Thesis, 2000. http://ndltd.ncl.edu.tw/handle/06570481064191014189.

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碩士
國立中正大學
機械系
88
This thesis is concerned with the contouring control of a biaxial system. Due to the complicated relationship between contour error and system states, the design of contouring controllers is in general very difficult, and can not be applied to nonlinear plants. The polar coordinate system is adopted in this study to simplify the contour error model. Based on this, we transform the contouring control problem into a stabilization problem and employ the technique of feedback stabilization for controller design. This method not only integrates the effects of commonly used feedback, feedforward and cross-coupled control, but is also applicable to nonlinear plants. In addition, a feedforward friction compensator is incorporated to eliminate part of the friction (static and Coulomb friction), leaving the rest as external disturbance. The sliding mode control is utilized to improve the robustness to system uncertainly as needed. Both numerical simulations and experimental results verify the analysis.
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Li, Guo-Cai, and 李國財. "A Scalable Sensor Network Using a Polar Coordinate System." Thesis, 2007. http://ndltd.ncl.edu.tw/handle/39249677352623650421.

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碩士
東海大學
資訊工程與科學系
95
Due to the quick development of chip design and antenna manufacturing techniques, wireless facilities, such as wireless sensors, have become significantly smaller and cheaper than before. Their usage has also consequently been widely enriched, such as in the areas of healthcare and forest monitoring. A wireless sensor network (WSN) is often used to monitor a specific environment for a specific purpose. However, how to effectively utilize the limited resources in a sensor, also in a WSN, is crucial. In a WSN, geographical information is usually employed to locate a node and its surroundings. In this article, we propose a system, named Relative Position for sensor Routing using Polar-coordinates (RP2) that deploys a polar coordinate system to identify sensor positions and route network packets. A sensor ID that carries geographical metadata can be helpful in positioning a sensor.
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Kuo, Chih-Ting, and 郭治廷. "An Improved Watermarking Approach in the Log-polar Coordinate System." Thesis, 2010. http://ndltd.ncl.edu.tw/handle/77898745863018615798.

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碩士
國立臺北大學
通訊工程研究所
98
The purpose watermarking an image is to keep hackers from unauthorized use of copyrighted contents as well as malicious modification. In many digital watermarking systems, the basic principle to retrieve the watermark is based on the knowledge of the positions for embedding the watermark. However, geometric distortions such as rotation, scaling, and translation (RST) may rearrange watermark positions, and often result in the failure of the watermark retrieval. In this thesis, the proposed scheme aims to develop a watermarking method to be resilient to rotation, scaling, and translation of the geometric distortions. Watermarking algorithm that is robust to RST distortions in this paper. The watermark data sequence is embedded into the log-polar mapping (LPM) magnitude spectrum, which is obtained by taking the Fourier transform of the cover image, and transforming the corresponding Fourier magnitudes into log-polar magnitude spectrums. For watermark detection, a function is designed to extract watermark-related magnitudes along the polar-radius axis. In the proposed approach, rotating the watermarked image results in a cyclical shift of the embedded watermark data, scaling the image results in amplification of the embedded watermark data, and translating the image has no effect on the embedded watermark data. Correlation coefficient is adopted as the detection measures. False positive results on a set of 12 images with 1000 watermarks are tested, as well as the properties of robustness are described. The experimental results have shown that the proposed scheme is robust to several attacks such as rotating, rotating with cropping, scaling, scaling with cropping, translating, translating with cropping, and JPEG compression.
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Machynia, Adam. "Application of translational addition theorems to electrostatic and magnetostatic field analysis for systems of circular cylinders." 2012. http://hdl.handle.net/1993/5291.

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Analytic solutions to the static and stationary boundary value field problems relative to an arbitrary configuration of parallel cylinders are obtained by using translational addition theorems for scalar Laplacian polar functions, to express the field due to one cylinder in terms of the polar coordinates of the other cylinders such that the boundary conditions can be imposed at all the cylinder surfaces. The constants of integration in the field expressions of all the cylinders are obtained from a truncated infinite matrix equation. Translational addition theorems are available for scalar cylindrical and spherical wave functions but such theorems are not directly available for the general solution of the Laplace equation in polar coordinates. The purpose of deriving these addition theorems and applying them to field problems involving systems of cylinders is to obtain exact analytic solutions with controllable accuracies, thereby, yielding benchmark solutions to validate other approximate numerical methods.
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Books on the topic "Polar coordinates system"

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Modelle zur Prädiktion von Polarkoordinaten für die Mondreflektoren im dynamischen Erde-Mond-System. Bonn: [Geodätische Institute der Rheinischen Friedrich-Wilhelms-Universität Bonn], 1985.

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Book chapters on the topic "Polar coordinates system"

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Stroud, K. A. "Programme 22 Polar Coordinates System." In Engineering Mathematics, 763–85. London: Macmillan Education UK, 1995. http://dx.doi.org/10.1007/978-1-349-13547-9_32.

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Patil, Yogita S., and Manish R. Joshi. "Clustering with Polar Coordinates System: Exploring Possibilities." In Smart Intelligent Computing and Applications, 553–60. Singapore: Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-13-1927-3_58.

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Stroud, K. A., and Dexter Booth. "Polar coordinate systems." In Engineering Mathematics, 921–42. London: Macmillan Education UK, 2013. http://dx.doi.org/10.1057/978-1-137-03122-8_36.

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Suhir, E. "Two-Dimensional Problem in Polar Coordinates." In Structural Analysis in Microelectronic and Fiber-Optic Systems, 82–97. Dordrecht: Springer Netherlands, 1991. http://dx.doi.org/10.1007/978-94-011-6535-8_8.

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Kotreleva, O. V. "Determination of Nutation Based on Observations with the Pulkovo Polar Tube." In Inertial Coordinate System on the Sky, 160. Dordrecht: Springer Netherlands, 1990. http://dx.doi.org/10.1007/978-94-009-0613-6_58.

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Kobryń, Andrzej. "Transition Curves Defined in the Polar Coordinate System." In Transition Curves for Highway Geometric Design, 59–61. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-53727-6_6.

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Stubberud, Peter. "Differential Evolution with Taguchi Crossover Using Polar Coordinates." In Proceedings of the 27th International Conference on Systems Engineering, ICSEng 2020, 128–38. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-65796-3_12.

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Noble, Nicholas M. I., Derek L. G. Hill, Marcel Breeuwer, Julia A. Schnabel, David J. Hawkes, Frans A. Gerritsen, and Reza Razavi. "Myocardial Delineation via Registration in a Polar Coordinate System." In Medical Image Computing and Computer-Assisted Intervention — MICCAI 2002, 651–58. Berlin, Heidelberg: Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/3-540-45786-0_80.

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Sitharam, T. G., and L. Govindaraju. "Two-Dimensional Problems in Elasticity (in Polar Coordinate System)." In Theory of Elasticity, 163–222. Singapore: Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-33-4650-5_6.

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Kang, Seonggoo, Sangjun Lee, and Sukho Lee. "A Novel Wavelet Transform Based on Polar Coordinates for Datamining Applications." In Fuzzy Systems and Knowledge Discovery, 1150–53. Berlin, Heidelberg: Springer Berlin Heidelberg, 2005. http://dx.doi.org/10.1007/11540007_149.

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Conference papers on the topic "Polar coordinates system"

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Segin, Andriy, and Petro Humenniy. "Spectral analysis of signals in polar coordinates system." In 2015 13th International Conference The Experience of Designing and Application of CAD Systems in Microelectronics (CADSM). IEEE, 2015. http://dx.doi.org/10.1109/cadsm.2015.7230863.

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Pazderski, Dariusz, Krzysztof Kozlowski, and Jozsef K. Tar. "Discontinuous stabilizer of the first order chained system using polar-like coordinates transformation." In 2009 European Control Conference (ECC). IEEE, 2009. http://dx.doi.org/10.23919/ecc.2009.7074823.

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Guo, Yufu, and Ping Zhang. "Modeling and Simulation of Polar Coordinates Seeker Control System Based on Full-Map Plane." In 2013 International Conference on Software Engineering and Computer Science. Paris, France: Atlantis Press, 2013. http://dx.doi.org/10.2991/icsecs-13.2013.16.

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Moreno, Alfonso, Manuel Espínola, Juan Campos, Niklaus Ursus Wetter, and Jaime Frejlich. "Two Dimensional integration methods in polar coordinates system to measure the surface topography by optical deflectometry." In RIAO∕OPTILAS 2007: 6th Ibero-American Conference on Optics (RIAO); 9th Latin-American Meeting on Optics, Lasers and Applications (OPTILAS). AIP, 2008. http://dx.doi.org/10.1063/1.2926976.

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Yassir, Elghzizal, Khaissidi Ghizlane, Mrabti Mostafa, and Chenouni Driss. "Towards an automatic and early detection of Parkinson’s disease: Modeling of a polar coordinates system based on spiral tests." In 2ND INTERNATIONAL CONFERENCE ON APPLIED MATHEMATICS, ICAM’2018. Author(s), 2019. http://dx.doi.org/10.1063/1.5090628.

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Nagatsu, Y., and S. Katsura. "Motion reproducing system for pinching and rotational tasks with different size of objects by using a transformation to polar coordinates." In 2013 IEEE International Conference on Mechatronics (ICM). IEEE, 2013. http://dx.doi.org/10.1109/icmech.2013.6519101.

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Sarfaraz, Ehsan, and Hamid R. Hamidzadeh. "In-Plane Vibration Mode Shapes for Rotating Disks: Exact Solution." In ASME 2020 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/imece2020-23620.

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Abstract An analytical method is developed for the determination of modal vibration characteristics of high speed rotating annular disks. A systematic approach based on established solutions for the linear in-plane free vibrations of the disks which satisfy the displacement and stresses compatibilities is developed. The disk is considered to be a homogeneous, thin and elastic isotropic, and it is rotating at constant angular speed. The developed analytical solution was obtained by implementing the two-dimensional plane stress theory. In this research, fixed-free and free-free boundary conditions for the annular disks are considered, and natural frequencies, as well as mode shapes of the rotating disks, are computed. The mode shapes are represented by eight functions in polar coordinates. The dimensionless natural frequency parameters are depicted for free vibration of the system for a range of dimensionless rotation speed and radius ratios. Also, the results provide several non-dimensional critical speeds.
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Soloiu, Valentin, Bernard Ibru, and Thomas Beyerl. "Small Arrays of Single Beam Laser Sensors as Effective LiDAR Obstacle Detection Systems for Autonomous Vehicles." In ASME 2016 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/imece2016-67130.

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Ground vehicles with autonomous navigation require medium range external sensing for early obstacle detection and terrain mapping. Both are essential for path planning. The conventional method for accomplishing this is achieved by very complex and expensive LiDAR sensors with 32 to 64 individual lasers rotating rapidly and taking readings from the top of the vehicle. Our most pertinent research question however is to ascertain if a less cumbersome and cost effective setup of a small number of single beam laser rangefinder sensors can accomplish the same task. Our current method to achieve this is to sweep the sensors a variable number of steps along a predetermined angle. The information obtained is used to develop a complete and detailed view of the world around the autonomous vehicle. This paper is focused on a small laser ranger finder attached to a programmable pan-tilt mount positioned at the front of the autonomous vehicle. These were chosen as they are the most viable type of sensors for this process due to low interference and also because long range accuracy data can be obtained with reasonable power consumption. The sensors and mount are connected to a microcontroller which gathers position and distance information of significant objects in the path of the vehicle, in polar coordinates. This information is then converted to more useful Cartesian coordinates and plotted on a point cloud which is then used for path planning in real time. Future work will include sensor fusion of this system and an image sensor for detection of relevant objects such as traffic signs. Such systems establish a distance from the vehicle as well as distinguish them by shape and color.
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Corke, Peter I., Fabien Spindler, and Francois Chaumette. "Combining Cartesian and polar coordinates in IBVS." In 2009 IEEE/RSJ International Conference on Intelligent Robots and Systems (IROS 2009). IEEE, 2009. http://dx.doi.org/10.1109/iros.2009.5354569.

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McBride, S. T. "An efficient polar coordinate system Fourier transform algorithm." In IEEE Antennas and Propagation Society International Symposium 1992 Digest. IEEE, 1992. http://dx.doi.org/10.1109/aps.1992.221739.

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