• Title/Summary/Keyword: Coordinates System

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A Fast Poisson Solver of Second-Order Accuracy for Isolated Systems in Three-Dimensional Cartesian and Cylindrical Coordinates

  • Moon, Sanghyuk;Kim, Woong-Tae;Ostriker, Eve C.
    • The Bulletin of The Korean Astronomical Society
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    • v.44 no.1
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    • pp.46.1-46.1
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    • 2019
  • We present an accurate and efficient method to calculate the gravitational potential of an isolated system in three-dimensional Cartesian and cylindrical coordinates subject to vacuum (open) boundary conditions. Our method consists of two parts: an interior solver and a boundary solver. The interior solver adopts an eigenfunction expansion method together with a tridiagonal matrix solver to solve the Poisson equation subject to the zero boundary condition. The boundary solver employs James's method to calculate the boundary potential due to the screening charges required to keep the zero boundary condition for the interior solver. A full computation of gravitational potential requires running the interior solver twice and the boundary solver once. We develop a method to compute the discrete Green's function in cylindrical coordinates, which is an integral part of the James algorithm to maintain second-order accuracy. We implement our method in the {\tt Athena++} magnetohydrodynamics code, and perform various tests to check that our solver is second-order accurate and exhibits good parallel performance.

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A study on correspondence problem of stereo vision system using self-organized neural network

  • Cho, Y.B.;Gweon, D.G.
    • Journal of the Korean Society for Precision Engineering
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    • v.10 no.4
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    • pp.170-179
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    • 1993
  • In this study, self-organized neural network is used to solve the vorrespondence problem of the axial stereo image. Edge points are extracted from a pair of stereo images and then the edge points of rear image are assined to the output nodes of neural network. In the matching process, the two input nodes of neural networks are supplied with the coordi- nates of the edge point selected randomly from the front image. This input data activate optimal output node and its neighbor nodes whose coordinates are thought to be correspondence point for the present input data, and then their weights are allowed to updated. After several iterations of updating, the weights whose coordinates represent rear edge point are converged to the coordinates of the correspondence points in the front image. Because of the feature map properties of self-organized neural network, noise-free and smoothed depth data can be achieved.

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A Study on Converting Cadastral Coordinate System into Global Coordinate System (지적좌표계의 세계좌표 변환 연구)

  • Park, Chun-Soo;Hong, Sung-Eon;Park, Jong-Oh;Jeong, Taek-Seung;Sung, Baek-Young
    • Journal of Korean Society for Geospatial Information Science
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    • v.18 no.3
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    • pp.105-114
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    • 2010
  • This study considers and analyzes the position and area errors and the related problems through the experimental study of the converting process from the cadastral coordinate system to the global coordinate system. Also, based on the result, the points of improvement have been considered. According to the conversion of the coordinates in the study area, the standard deviations for the conversion of coordinates in regard to every parcel boundary point (478 points in total) have been calculated as X=0.0079m and Y=0.0153m respectively. It can be considered that such values are extremely excellent. Also, after analyzing the area errors, it has been found that there is a difference of $0.062m^2$ on average. Such a difference stays within the range of the allowable error tolerance specified by the current laws. Therefore, in regard to the limited area which is subject to the study, it can be concluded that the difference is not great in differences of the position or the area. As a result, the converting process into the global coordinate system is possible.

A Solution for Green's Function of Orthotropic Plate (직교이방성 평판의 Green 함수에 대한 새로운 해)

  • Yang, Kyeong-Jin;Kang, Ki-Ju
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.31 no.3 s.258
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    • pp.365-372
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    • 2007
  • Revisited in this paper are Green's functions for unit concentrated forces in an infinite orthotropic Kirchhoff plate. Instead of obtaining Green's functions expressed in explicit forms in terms of Barnett-Lothe tensors and their associated tensors in cylindrical or dual coordinates systems, presented here are Green's functions expressed in two quasi-harmonic functions in a Cartesian coordinates system. These functions could be applied to thin plate problems regardless of whether the plate is homogeneous or inhomogeneous in the thickness direction. With a composite variable defined as $z=x_1+ipx_2$ which is adopted under the necessity of expressing the Green's functions in terms of two quasi-harmonic functions in a Cartesian coordinates system Stroh-like formalism for orthotropic Kirchhoffplates is evolved. Using some identities of logarithmic and arctangent functions given in this paper, the Green's functions are presented in terms of two quasi-harmonic functions. These forms of Green's functions are favorable to obtain the Newtonian potentials associated with defect problems. Thus, the defects in the orthotropic plate may be easily analyzed by way of the Green's function method.

A Study on the 3-D Information Abstraction of object using Triangulation System (물체의 3-D 형상 복원을 위한 삼각측량 시스템)

  • Kim, Kuk-Se;Lee, Jeong-Ki;Cho, Ai-Ri;Ba, Il-Ho;Lee, Joon
    • Proceedings of the Korea Information Processing Society Conference
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    • 2003.05a
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    • pp.409-412
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    • 2003
  • The 3-D shape use to effect of movie, animation, industrial design, medical treatment service, education, engineering etc... But it is not easy to make 3-D shape from the information of 2-D image. There are two methods in restoring 3-D video image through 2-D image; First the method of using a laser; Second, the method of acquiring 3-D image through stereo vision. Instead of doing two methods with many difficulties, I study the method of simple 3-D image in this research paper. We present here a simple and efficient method, called direct calibration, which does not require any equations at all. The direct calibration procedure builds a lookup table(LUT) linking image and 3-D coordinates by a real 3-D triangulation system. The LUT is built by measuring the image coordinates of a grid of known 3-D points, and recording both image and world coordinates for each point; the depth values of all other visible points are obtained by interpolation.

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Development and application of unmanned crane system in the warehouse (창고 Crane 무인화 시스템 개발 및 적용)

  • 박남수;김태진
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.1079-1082
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    • 1996
  • Automatic control systems for warehouse composed of unmanned crane system and vision system. Unmanned crane system is introduced to reject oscillations of a load suspended from a trolley at a moment of its arrival at its target position. And vision system is applied to find out the coordinates of coils on trucks using image processing.

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Realization of Field Surveying on AutoCAD Using RTK-GPS (RTK-GPS와 CAD 결합에 의한 현지측량의 구현)

  • 강준묵;김홍진;조성호
    • Proceedings of the Korean Society of Surveying, Geodesy, Photogrammetry, and Cartography Conference
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    • 2004.04a
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    • pp.145-150
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    • 2004
  • In this paper, development of automation system for real time cadastral surveying and mapping is studied. This system is composed of interface between pc and GPS receiver, input-output-store of positioning information by RTK-GPS surveying. Also coordinates of surveying is displayed on CAD. As a results of this application on the field, transformed coordinates of points are displayed on the map at the real time as surveying. This system is applied to construct coordinate information for a parcel of land, and this could be specially used to realize the information of boundary points in the field.

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Stereo-Vision-Based Human-Computer Interaction with Tactile Stimulation

  • Yong, Ho-Joong;Back, Jong-Won;Jang, Tae-Jeong
    • ETRI Journal
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    • v.29 no.3
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    • pp.305-310
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    • 2007
  • If a virtual object in a virtual environment represented by a stereo vision system could be touched by a user with some tactile feeling on his/her fingertip, the sense of reality would be heightened. To create a visual impression as if the user were directly pointing to a desired point on a virtual object with his/her own finger, we need to align virtual space coordinates and physical space coordinates. Also, if there is no tactile feeling when the user touches a virtual object, the virtual object would seem to be a ghost. Therefore, a haptic interface device is required to give some tactile sensation to the user. We have constructed such a human-computer interaction system in the form of a simple virtual reality game using a stereo vision system, a vibro-tactile device module, and two position/orientation sensors.

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Development of Ultrasound Sector B-Scanner(II)-Digital Scan Converter- (초음파 섹터 B-스캐너의 개발(II)-디지탈 스캔 컨버터-)

  • 김주한;김영모
    • Journal of Biomedical Engineering Research
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    • v.7 no.2
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    • pp.133-138
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    • 1986
  • Abstract In a conventional digital sector scan system in the ultrasound medical imaging, the sampling space is in the polar coordinates while the display space is in the cartesian coordinates, which necessitates a coordinate transformation process resultion process resulting the overall system very complex and bulky. In this paper we propose a new architecture of the Digital-Scan-Converter (DSC) for the ultrasound sector scan system in which sampling space is the same as the display space, so the data are displayed as they are acquired without any interpola- tion process required. To implement the above real time DSC. two frequency synthesizes with very high switching time and a low-pass filter are required. The former determines the precise location of the data points and the latter fills the gap betw- een pixels in the horizontal direction.

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