Relevant bibliographies by topics / Polar coordinates / Journal articles
To see the other types of publications on this topic, follow the link: Polar coordinates.

Journal articles on the topic 'Polar coordinates'

Author: Grafiati
Published: 4 June 2021
Last updated: 4 March 2023

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the top 50 journal articles for your research on the topic 'Polar coordinates.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Browse journal articles on a wide variety of disciplines and organise your bibliography correctly.

1

Rader, C. M. "Generating rectangular coordinates in polar coordinate order." IEEE Signal Processing Magazine 22, no. 6 (November 2005): 178–80. http://dx.doi.org/10.1109/msp.2005.1550199.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

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.

Full text
Abstract:
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.
APA, Harvard, Vancouver, ISO, and other styles
3

Hurtley, S. M. "DEVELOPMENT: Polar Coordinates." Science 298, no. 5592 (October 11, 2002): 325b—325. http://dx.doi.org/10.1126/science.298.5592.325b.

Full text
APA, Harvard, Vancouver, ISO, and other styles
4

Menescardi, Cristina, Isaac Estevan, and Coral Falco. "Polar coordinates in Taekwondo." Revista de Artes Marciales Asiáticas 11, no. 2s (September 29, 2016): 50. http://dx.doi.org/10.18002/rama.v11i2s.4167.

Full text
APA, Harvard, Vancouver, ISO, and other styles
5

Kesavan, S. "Integration and polar coordinates." Resonance 18, no. 11 (November 2013): 996–1003. http://dx.doi.org/10.1007/s12045-013-0126-z.

Full text
APA, Harvard, Vancouver, ISO, and other styles
6

Esty, Warren W. "Finding Points of Intersection of Polar-Coordinate Graphs." Mathematics Teacher 84, no. 6 (September 1991): 472–77. http://dx.doi.org/10.5951/mt.84.6.0472.

Full text
Abstract:
Students studying polar coordinates may be required to find the points of intersection of the polar-coordinate graphs of two functions, f and g. Their experiences with rectangular coordinates may lead them to expect that all the points of intersection can be found by solving the equation f((J) = g (O). They may be distressed to discover that points of intersection of the graphs can occur that do not correspond to solutions of that equation.
APA, Harvard, Vancouver, ISO, and other styles
7

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.

Full text
Abstract:
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
APA, Harvard, Vancouver, ISO, and other styles
8

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.

Full text
Abstract:
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.
APA, Harvard, Vancouver, ISO, and other styles
9

Lewis, Frances W. "Defining Area in Polar Coordinates." College Mathematics Journal 17, no. 5 (November 1986): 414. http://dx.doi.org/10.2307/2686251.

Full text
APA, Harvard, Vancouver, ISO, and other styles
10

Szwaykowski, Piotr. "Self-imaging in polar coordinates." Journal of the Optical Society of America A 5, no. 2 (February 1, 1988): 185. http://dx.doi.org/10.1364/josaa.5.000185.

Full text
APA, Harvard, Vancouver, ISO, and other styles
11

González-Morales, M. J., R. Mahillo-Isla, E. Gago-Ribas, and C. Dehesa-Martínez. "Complex Polar Coordinates in Electromagnetics." Journal of Electromagnetic Waves and Applications 25, no. 2-3 (January 2011): 389–98. http://dx.doi.org/10.1163/156939311794362795.

Full text
APA, Harvard, Vancouver, ISO, and other styles
12

Yaghjian, A. D., and M. B. Woodworth. "Sampling in plane-polar coordinates." IEEE Transactions on Antennas and Propagation 44, no. 5 (May 1996): 696. http://dx.doi.org/10.1109/8.496256.

Full text
APA, Harvard, Vancouver, ISO, and other styles
13

Lewis, Frances W. "Defining Area in Polar Coordinates." College Mathematics Journal 17, no. 5 (November 1986): 414–16. http://dx.doi.org/10.1080/07468342.1986.11972990.

Full text
APA, Harvard, Vancouver, ISO, and other styles
14

Balogh, Z. M., and J. T. Tyson. "Polar coordinates in Carnot groups." Mathematische Zeitschrift 241, no. 4 (December 1, 2002): 697–730. http://dx.doi.org/10.1007/s00209-002-0441-7.

Full text
APA, Harvard, Vancouver, ISO, and other styles
15

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.

Full text
Abstract:
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.
APA, Harvard, Vancouver, ISO, and other styles
16

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.

Full text
Abstract:
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.
APA, Harvard, Vancouver, ISO, and other styles
17

Zhu, Junfan, Yifan Wang, Fuhua Gao, and Zhiyou Zhang. "Optical differentiation in a polar coordinate system." Applied Physics Letters 122, no. 9 (February 27, 2023): 091107. http://dx.doi.org/10.1063/5.0140272.

Full text
Abstract:
Optical analog computing prevails over digital computing in several aspects, such as processing speed and power consumption. Optical differentiation, as a main branch, can be particularly significant in image recognition. Various differentiators have been developed to realize the two-dimensional differentiation in Cartesian coordinates. Here, we propose the optical differentiation in a polar coordinate system, which can be factorized into the radial differentiation and the angular differentiation. Experimental results demonstrate that the variations along radial and angular directions can be, respectively, highlighted by the two kinds of differentiation, which suggests that employing polar coordinates may be more intuitive and informative in practical use. This work is probable to enrich the content of optical differentiation and extend potential applications in image recognition.
APA, Harvard, Vancouver, ISO, and other styles
18

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.

Full text
Abstract:
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.
APA, Harvard, Vancouver, ISO, and other styles
19

Gambi, J. M., P. Zamorano, P. Romero, and M. L. Garcia Del Pino. "On the orbital motion description with a proper reference frame in a complete Schwarzschild field." Symposium - International Astronomical Union 172 (1996): 325–26. http://dx.doi.org/10.1017/s0074180900127603.

Full text
Abstract:
It is a fact that, none of the diverse coordinate systems unified in the Post-Newtonian formalism used to describe the exterior Schwarzschild field can be regarded as being materialized by a reference frame. Only the polar Gaussian coordinates (ρ, ϑ, ϕ, t), or their naturally associated Fermi coordinates, can be shown to have this property (Synge, 1960).
APA, Harvard, Vancouver, ISO, and other styles
20

Tian, Zhuxin, and Yu Huang. "Transformation between polar and rectangular coordinates of stiffness and dampness parameters in hydrodynamic journal bearings." Friction 9, no. 1 (January 18, 2020): 201–6. http://dx.doi.org/10.1007/s40544-019-0328-9.

Full text
Abstract:
Abstract The stiffness and dampness parameters of journal bearings are required in rectangular coordinates for analyzing the stability boundary and threshold speed of oil film bearings. On solving the Reynolds equation, the oil film force is always obtained in polar coordinates; thus, the stiffness and dampness parameters can be easily obtained in polar coordinates. Therefore, the transformation between the polar and rectangular coordinates of journal bearing stiffness and dampness parameters is discussed in this study.
APA, Harvard, Vancouver, ISO, and other styles
21

Naghadeh, Diako Hariri, and Mohamad Ali Riahi. "One-way wave-equation migration in log-polar coordinates." GEOPHYSICS 78, no. 2 (March 1, 2013): S59—S67. http://dx.doi.org/10.1190/geo2012-0229.1.

Full text
Abstract:
We obtained acoustic wave and wavefield extrapolation equations in log-polar coordinates (LPCs) and tried to enhance the imaging. To achieve this goal, it was necessary to decrease the angle between the wavefield extrapolation axis and wave propagation direction in the one-way wave-equation migration (WEM). If we were unable to carry it out, more reflection wave energy would be lost in the migration process. It was concluded that the wavefield extrapolation operator in LPCs at low frequencies has a large wavelike region, and at high frequencies, it can mute the evanescent energy. In these coordinate systems, an extrapolation operator can readily lend itself to high-order finite-difference schemes; therefore, even with the use of inexpensive operators, WEM in LPCs can clearly image varied (horizontal and vertical) events in complex geologic structures using wide-angle and turning waves. In these coordinates, we did not encounter any problems with reflections from opposing dips. Dispersion played important roles not only as a filter operator but also as a gain function. Prestack and poststack migration results were obtained with extrapolation methods in different coordinate systems, and it was concluded that migration in LPCs can image steeply dipping events in a much better way when compared with other methods.
APA, Harvard, Vancouver, ISO, and other styles
22

Apriandi, Davi, and Ika Krisdiana. "Analisis Kesulitan Mahasiswa dalam Memahami Materi Integral Lipat Dua pada Koordinat Polar Mata Kuliah Kalkulus Lanjut." Al-Jabar : Jurnal Pendidikan Matematika 7, no. 2 (December 20, 2016): 123–34. http://dx.doi.org/10.24042/ajpm.v7i2.19.

Full text
Abstract:
This study aims to determine the difficulties experienced by students in understanding the double integral in polar coordinates advanced calculus courses and the factors that cause these problems. This research is qualitative. Subjects were students of the fourth semester of academic year 2015/2016 Mathematics Education, IKIP PGRI Madiun totaling 3 persons. Data collection techniques have used that test, observation, interviews, and documentation. Data analysis technique conducted with qualitative data analysis, namely data reduction, data presentation and conclusion. The results were obtained five kinds of difficulties students in understanding the integral double the coordinates polar, namely 1) the difficulty in drawing a function in polar coordinates and determine the areas of integration, 2) the difficulty in converting the variable into polar coordinates, 3) difficulty in defining the limits of integration, 4) difficulty in writing a form of integration in polar coordinates, 5) difficulties in performing the calculations. Factors causing these difficulties is the ability to understand the matter is low, understanding in drawing a function in two-dimensional and three are still low, difficulties in visualizing the image of a function, do not understand the concept of comparison trigonometry, do not understand in determining the limits of integration in polar coordinates, less rigorous in setting limits of integration, not yet understand the concept of double integral in polar coordinates, lower integration calculation capabilities, yet integral mastered trigonometry.
APA, Harvard, Vancouver, ISO, and other styles
23

Gordon, Sheldon P. "Taylor Polynomial Approximations in Polar Coordinates." College Mathematics Journal 24, no. 4 (September 1993): 325. http://dx.doi.org/10.2307/2686348.

Full text
APA, Harvard, Vancouver, ISO, and other styles
24

Melvaer, Eivind Lyche, and Martin Reimers. "Geodesic Polar Coordinates on Polygonal Meshes." Computer Graphics Forum 31, no. 8 (August 30, 2012): 2423–35. http://dx.doi.org/10.1111/j.1467-8659.2012.03187.x.

Full text
APA, Harvard, Vancouver, ISO, and other styles
25

Ahmad, F., and Ahsan-ul-Haq. "Vector potential in spherical polar coordinates." Journal of the Acoustical Society of America 109, no. 5 (May 2001): 2270–71. http://dx.doi.org/10.1121/1.1367249.

Full text
APA, Harvard, Vancouver, ISO, and other styles
26

Gordon, Sheldon P. "Taylor Polynomial Approximations in Polar Coordinates." College Mathematics Journal 24, no. 4 (September 1993): 325–30. http://dx.doi.org/10.1080/07468342.1993.11973549.

Full text
APA, Harvard, Vancouver, ISO, and other styles
27

Shi, Kan-Le, Jun-Hai Yong, Jia-Guang Sun, and Jean-Claude Paul. "blending multiple surfaces in polar coordinates." Computer-Aided Design 42, no. 6 (June 2010): 479–94. http://dx.doi.org/10.1016/j.cad.2009.11.009.

Full text
APA, Harvard, Vancouver, ISO, and other styles
28

Ma, William, and David Minda. "Euclidean Properties of Hyperbolic Polar Coordinates." Computational Methods and Function Theory 6, no. 1 (June 2006): 223–42. http://dx.doi.org/10.1007/bf03321125.

Full text
APA, Harvard, Vancouver, ISO, and other styles
29

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.

Full text
APA, Harvard, Vancouver, ISO, and other styles
30

Sanchez-Reyes, J. "Single-valued curves in polar coordinates." Computer-Aided Design 22, no. 1 (January 1990): 19–26. http://dx.doi.org/10.1016/0010-4485(90)90025-8.

Full text
APA, Harvard, Vancouver, ISO, and other styles
31

Matsushima, T., and P. S. Marcus. "A Spectral Method for Polar Coordinates." Journal of Computational Physics 120, no. 2 (September 1995): 365–74. http://dx.doi.org/10.1006/jcph.1995.1171.

Full text
APA, Harvard, Vancouver, ISO, and other styles
32

BOONSERM, PETARPA, and MATT VISSER. "BUCHDAHL-LIKE TRANSFORMATIONS FOR PERFECT FLUID SPHERES." International Journal of Modern Physics D 17, no. 01 (January 2008): 135–63. http://dx.doi.org/10.1142/s0218271808011912.

Full text
Abstract:
In two previous articles [Phys. Rev. D71 (2005) 124307 (gr-qc/0503007) and Phys. Rev. D76 (2006) 0440241 (gr-qc/0607001)] we have discussed several "algorithmic" techniques that permit one (in a purely mechanical way) to generate large classes of general-relativistic static perfect fluid spheres. Working in Schwarzschild curvature coordinates, we used these algorithmic ideas to prove several "solution-generating theorems" of varying levels of complexity. In the present article we consider the situation in other coordinate systems. In particular, in general diagonal coordinates we shall generalize our previous theorems, in isotropic coordinates we shall encounter a variant of the so-called "Buchdahl transformation," and in other coordinate systems (such as Gaussian polar coordinates, Synge isothermal coordinates, and Buchdahl coordinates) we shall find a number of more complex "Buchdahl-like transformations" and "solution-generating theorems" that may be used to investigate and classify the general-relativistic static perfect fluid sphere. Finally, by returning to general diagonal coordinates and making a suitable ansatz for the functional form of the metric components, we place the Buchdahl transformation in its most general possible setting.
APA, Harvard, Vancouver, ISO, and other styles
33

Zhang, Haozheng, Xiong Li, and Yu Meng. "Performance Study of Two Bearings-only Target Tracking Algorithms." Journal of Physics: Conference Series 2419, no. 1 (January 1, 2023): 012086. http://dx.doi.org/10.1088/1742-6596/2419/1/012086.

Full text
Abstract:
Abstract For the bearings-only target tracking for single array, the tracking performance of extended kalman filter algorithm in cartesian coordinates and modified polar coordinates is studied. The result shows that the performance of extended kalman filter algorithm in polar coordinates is more general than that in cartesian coordinates. In addition, the tracking performance of these two algorithms decreases with an increase in azimuth measurement error.
APA, Harvard, Vancouver, ISO, and other styles
34

Gratus, J., and T. Banaszek. "The correct and unusual coordinate transformation rules for electromagnetic quadrupoles." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 474, no. 2213 (May 2018): 20170652. http://dx.doi.org/10.1098/rspa.2017.0652.

Full text
Abstract:
Despite being studied for over a century, the use of quadrupoles have been limited to Cartesian coordinates in flat space–time due to the incorrect transformation rules used to define them. Here the correct transformation rules are derived, which are particularly unusual as they involve second derivatives of the coordinate transformation and an integral. Transformations involving integrals have not been seen before. This is significantly different from the familiar transformation rules for a dipole, where the components transform as tensors. It enables quadrupoles to be correctly defined in general relativity and to prescribe the equations of motion for a quadrupole in a coordinate system adapted to its motion and then transform them to the laboratory coordinates. An example is given of another unusual feature: a quadrupole which is free of dipole terms in polar coordinates has dipole terms in Cartesian coordinates. It is shown that dipoles, electric dipoles, quadrupoles and electric quadrupoles can be defined without reference to a metric and in a coordinates-free manner. This is particularly useful given their complicated coordinate transformation.
APA, Harvard, Vancouver, ISO, and other styles
35

Camp, Dane R. "Sharing Teaching Ideas: Starship." Mathematics Teacher 88, no. 2 (February 1995): 113–15. http://dx.doi.org/10.5951/mt.88.2.0113.

Full text
Abstract:
Every year in my precalculus classes, I introduce polar coordinates. Though students seem to have little trouble with the concept of using a different coordinate system, they do have difficulty with the fact that a location has multiple representations. For instance, the point (2, 30†) can also be expressed as (2, −330†), (−2, 210†), (−2, −150†), (2, 390†), and so on. Knowing how to manipulate these alternative forms is crucial to understanding polar graphs.
APA, Harvard, Vancouver, ISO, and other styles
36

Li, Jin. "Linear barycentric rational collocation method to solve plane elasticity problems." Mathematical Biosciences and Engineering 20, no. 5 (2023): 8337–57. http://dx.doi.org/10.3934/mbe.2023365.

Full text
Abstract:
<abstract><p>A linear barycentric rational collocation method for equilibrium equations with polar coordinates is considered. The discrete linear equations is changed into the matrix forms. With the help of error of barycentrix polar coordinate interpolation, the convergence rate of the linear barycentric rational collocation method for equilibrium equations can be obtained. At last, some numerical examples are given to valid the proposed theorem.</p></abstract>
APA, Harvard, Vancouver, ISO, and other styles
37

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.

Full text
Abstract:
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.
APA, Harvard, Vancouver, ISO, and other styles
38

Li, Zhenhong, Jianwei Yang, Ming Li, and Rushi Lan. "Estimation of Large Scalings in Images Based on Multilayer Pseudopolar Fractional Fourier Transform." Mathematical Problems in Engineering 2013 (2013): 1–9. http://dx.doi.org/10.1155/2013/179489.

Full text
Abstract:
Accurate estimation of the Fourier transform in log-polar coordinates is a major challenge for phase-correlation based motion estimation. To acquire better image registration accuracy, a method is proposed to estimate the log-polar coordinates coefficients using multilayer pseudopolar fractional Fourier transform (MPFFT). The MPFFT approach encompasses pseudopolar and multilayer techniques and provides a grid which is geometrically similar to the log-polar grid. At low coordinates coefficients the multilayer pseudopolar grid is dense, and at high coordinates coefficients the grid is sparse. As a result, large scalings in images can be estimated, and better image registration accuracy can be achieved. Experimental results demonstrate the effectiveness of the presented method.
APA, Harvard, Vancouver, ISO, and other styles
39

Sun, Haijian, Lin Liu, and Aike Guo. "Iteration Logistic Map Dynamics in the Polar Coordinates." Fractals 06, no. 01 (March 1998): 11–22. http://dx.doi.org/10.1142/s0218348x98000031.

Full text
Abstract:
The complicated dynamics of logistic maps with four fundamental operations in the polar coordinates are analyzed in this paper. Iterations of single logistic map in polar coordinates exhibit similar characteristics as in the Cartesian coordinates. Iterations of double logistic maps, however, are more interesting in polar coordinates than those in Cartesian coordinates. Under different iterative rules, the dynamics of double logistic maps show some funny artistic patterns. Some of them look like the formation of an embryo, and some even look like Taiji diagram, which is the representative symbol of Taoism in ancient China. It is interesting to see that Taiji, which is believed in Taoism to be the mysterious origination of the world, is an interim phenomenon within the evolution of the systems governed by the law of the logistic equations.
APA, Harvard, Vancouver, ISO, and other styles
40

HILL, J. M., and Y. M. STOKES. "A NOTE ON NAVIER–STOKES EQUATIONS WITH NONORTHOGONAL COORDINATES." ANZIAM Journal 59, no. 3 (January 2018): 335–48. http://dx.doi.org/10.1017/s144618111700058x.

Full text
Abstract:
There are many fluid flow problems involving geometries for which a nonorthogonal curvilinear coordinate system may be the most suitable. To the authors’ knowledge, the Navier–Stokes equations for an incompressible fluid formulated in terms of an arbitrary nonorthogonal curvilinear coordinate system have not been given explicitly in the literature in the simplified form obtained herein. The specific novelty in the equations derived here is the use of the general Laplacian in arbitrary nonorthogonal curvilinear coordinates and the simplification arising from a Ricci identity for Christoffel symbols of the second kind for flat space. Evidently, however, the derived equations must be consistent with the various general forms given previously by others. The general equations derived here admit the well-known formulae for cylindrical and spherical polars, and for the purposes of illustration, the procedure is presented for spherical polar coordinates. Further, the procedure is illustrated for a nonorthogonal helical coordinate system. For a slow flow for which the inertial terms may be neglected, we give the harmonic equation for the pressure function, and the corresponding equation if the inertial effects are included. We also note the general stress boundary conditions for a free surface with surface tension. For completeness, the equations for a compressible flow are derived in an appendix.
APA, Harvard, Vancouver, ISO, and other styles
41

EE, CHANG-YOUNG. "NONCOMMUTATIVE BTZ BLACK HOLE IN DIFFERENT COORDINATES." International Journal of Modern Physics: Conference Series 01 (January 2011): 285–90. http://dx.doi.org/10.1142/s2010194511000419.

Full text
Abstract:
We consider noncommutative BTZ black hole solutions in two different coordinate systems, the polar and rectangular coordinates. The analysis is carried out by obtaining noncommutative solutions of U(1, 1) × U(1, 1) Chern-Simons theory on AdS3 in the two coordinate systems via the Seiberg-Witten map. This is based on the noncommutative extension of the equivalence between the classical BTZ solution and the solution of ordinary SU(1, 1) × SU(1, 1) Chern-Simons theory on AdS3. The obtained solutions in these noncommutative coordinate systems become different in the first order of the noncommutativity parameter θ.
APA, Harvard, Vancouver, ISO, and other styles
42

Kroon, Cindy. "Back Page: My Favorite Lesson: Arctic Search and Destroy." Mathematics Teacher 108, no. 1 (August 2014): 80. http://dx.doi.org/10.5951/mathteacher.108.1.0080.

Full text
Abstract:
“You sunk my battleship!”Many of us have fond memories of the Milton Bradley game Battleship®. Using rectangular coordinates to identify and sink an opponent's ships remains a classic childhood pastime. A similar activity can be used to help students as they learn to plot positions in the polar coordinate system. The Common Core State Standards for Mathematics (CCSSM) suggest that students “[r]epresent complex numbers on the complex plane in rectangular and polar form, and explain why the rectangular and polar forms of a given complex number represent the same number” (CCSSM Standard N-CN.4).
APA, Harvard, Vancouver, ISO, and other styles
43

Baker, John A. "Plane Curves, Polar Coordinates and Winding Numbers." Mathematics Magazine 64, no. 2 (April 1, 1991): 75. http://dx.doi.org/10.2307/2690753.

Full text
APA, Harvard, Vancouver, ISO, and other styles
44

Boyd, James N. "A Property of Inversion in Polar Coordinates." Mathematics Teacher 78, no. 1 (January 1985): 60–61. http://dx.doi.org/10.5951/mt.78.1.0060.

Full text
Abstract:
One of the nicest rewards for teaching several different courses in secondary school mathematics is to learn something in one course that can be used in another. This link recently occurred between my ninth-grade geometry and my advanced placement calculus class. I had just come upon the very elegant monograph Lobachevskian Geometry by the Russian mathematician A. S. Smogorzhevsky (1976) and was reading through the theorems on inversion with respect to a circle in the Euclidean plane. Of course, this work was not suitable for my whole ninth-grade geometry class, but I was in search of material for projects for any of my students who might be interested.
APA, Harvard, Vancouver, ISO, and other styles
45

Diosi, Albert, and Lindsay Kleeman. "Fast Laser Scan Matching using Polar Coordinates." International Journal of Robotics Research 26, no. 10 (October 2007): 1125–53. http://dx.doi.org/10.1177/0278364907082042.

Full text
APA, Harvard, Vancouver, ISO, and other styles
46

Baykal, Orhan, Ergin Tari, M. Zeki Coşkun, and Turan Erden. "Accuracy of Point Layout with Polar Coordinates." Journal of Surveying Engineering 131, no. 3 (August 2005): 87–93. http://dx.doi.org/10.1061/(asce)0733-9453(2005)131:3(87).

Full text
APA, Harvard, Vancouver, ISO, and other styles
47

Jin, Xiaogang, and V. F. Li. "Three-Dimensional Deformation Using Directional Polar Coordinates." Journal of Graphics Tools 5, no. 2 (January 2000): 15–24. http://dx.doi.org/10.1080/10867651.2000.10487521.

Full text
APA, Harvard, Vancouver, ISO, and other styles
48

Baker, John A. "Plane Curves, Polar Coordinates and Winding Numbers." Mathematics Magazine 64, no. 2 (April 1991): 75–91. http://dx.doi.org/10.1080/0025570x.1991.11977580.

Full text
APA, Harvard, Vancouver, ISO, and other styles
49

Egghe, Leo, and Ronald Rousseau. "Polar coordinates and generalized h-type indices." Journal of Informetrics 14, no. 2 (May 2020): 101024. http://dx.doi.org/10.1016/j.joi.2020.101024.

Full text
APA, Harvard, Vancouver, ISO, and other styles
50

Jiarong, Yu. "Further applications of polar coordinates in ℂn." Acta Mathematica Scientia 31, no. 1 (January 2011): 1–7. http://dx.doi.org/10.1016/s0252-9602(11)60201-4.

Full text
APA, Harvard, Vancouver, ISO, and other styles
You might also be interested in the bibliographies on the topic 'Polar coordinates' for other source types:
Dissertations / Theses Books
We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!

To the bibliography