• Title/Summary/Keyword: Coordinate Transformation

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Use of a Solution-Adaptive Grid (SAG) Method for the Solution of the Unsaturated Flow Equation (불포화 유동 방정식의 해를 위한 해적응격자법의 이용 연구)

  • Koo, Min-Ho
    • Journal of the Korean Society of Groundwater Environment
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    • v.6 no.1
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    • pp.23-32
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    • 1999
  • A new numerical method using solution-adaptive grids (SAG) is developed to solve the Richards' equation (RE) for unsaturated flow in porous media. Using a grid generation technique, the SAG method automatically redistributes a fixed number of grid points during the flow process, so that more grid points are clustered in regions of large solution gradients. The method uses the coordinate transformation technique to employ a new transformed RE, which is solved with the standard finite difference method. The movement of grid points is incorporated into the transformed RE, and therefore all computation is performed on fixed grid points of the transformed domain without using any interpolation techniques. Thus, numerical difficulties arising from the movement of the wetting front during the infiltration process have been substantially overcome by the new method. Numerical experiments for an one-dimensional infiltration problem are presented to compare the SAG method to the modified Picard method using a fixed grid. Results show that accuracy of a SAG solution using 41 nodes is comparable with the solution of the fixed grid method using 201 nodes, while it requires only 50% of the CPU time. The global mass balance and the convergence of SAG solutions are strongly affected by the time step size (Δt) and the weighting parameter (${\gamma}$) used for generating solution-adaptive grids. Thus, the method requires automated readjustment of Δt and ${\gamma}$ to yield mass-conservative and convergent solutions, although it may increase computational costs. The method can be effective especially for simulating unsaturated flow and other transport problems involving the propagation of a sharp-front.

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Investigation of Leksell GammaPlan's ability for target localizations in Gamma Knife Subthalamotomy (감마나이프 시상하핵파괴술에서 목표물 위치측정을 위한 렉셀 감마플랜 능력의 조사)

  • Hur, Beong Ik
    • Journal of the Korean Society of Radiology
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    • v.13 no.7
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    • pp.901-907
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    • 2019
  • The aim of this study is to evaluate the ability of target localizations of Leksell GammaPlan(LGP) in Gamma Knife Subthalamotomy(or Pallidotomy, Thalamotomy) of functional diseases. To evaluate the accuracy of LGP's location settings, the difference Δr of the target coordinates calculated by LGP (or LSP) and author's algorithm was reviewed for 10 patients who underwent Deep Brain Stimulation(DBS) surgery. Δr ranged from 0.0244663 mm to 0.107961 mm. The average of Δr was 0.054398 mm. Transformation matrix between stereotactic space and brain atlas space was calculated using PseudoInverse or Singular Value Decomposition of Mathematica to determine the positional relationship between two coordinate systems. Despite the precise frame positioning, the misalignment of yaw from -3.44739 degree to 1.82243 degree, pitch from -4.57212 degree to 0.692063 degree, and rolls from -6.38239 degree to 7.21426 degree appeared. In conclusion, a simple in-house algorithm was used to test the accuracy for location settings of LGP(or LSP) in Gamma Knife platform and the possibility for Gamma Knife Subthalamotomy. The functional diseases can be treated with Gamma Knife Radiosurgery with safety and efficacy. In the future, the proposed algorithm for target localizations' QA will be a great contributor to movement disorders' treatment of several Gamma Knife Centers.

Estimation of Displacements and Velocities of Objects from Soccer Image Sequences (축구 영상 시퀀스로부터 물체 이동거리와 속도 측정)

  • Nam, Si-Wook;Yi, Jong-Hyon;Lee, Jae-Cheol;Park, Yeung-Gyu;Kim, Jai-Hie
    • Journal of the Institute of Electronics Engineers of Korea CI
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    • v.38 no.2
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    • pp.1-8
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    • 2001
  • In this paper, we propose an algorithm which estimates the displacements and velocities of objects in the soccer field from the soccer image sequences. Assuming the time interval of an object movement is given, we transform the object positions into those in the soccer field model and compute the distance and the velocity. When four corresponding pairs of the feature points, such as the crossing points of the lines in the soccer field, exist and three of them are not on a line, we transform the object positions in the soccer image into those in the soccer field by using the perspective displacement field model. In addition, when the soccer image has less than four feature points, we first transform the object positions into those in the image which has more than four feature points, and then transform the positions into those in the soccer field again. To find the coordinate transformation between two images, we estimate the panning and zooming for consecutive images in the sequence. In the experimental results, we quantitatively evaluated the estimation accuracy by applying our algorithm to the synthetic. soccer image sequences generated by graphic tools, and applied it to the real soccer image sequences for broadcasting to show its usefulness.

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A Study on Dynamic Behaviour of Cable-Stayed Bridge by Vehicle Load (차량하중에 의한 사장교의 동적거동에 관한 연구)

  • Park, Cheun Hyek;Han, Jai Ik
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.14 no.6
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    • pp.1299-1308
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    • 1994
  • This paper is considered on the dynamic behavior and the dynamic impact coefficient on the cable-stayed bridge under the vehicle load. The method of static analysis, that is, the transfer matrix method is used to get influence values about displacements, section forces of girder and cable forces. Gotten influence values were used as basic data to analyse dynamic behavior. This paper used the transfer matrix method because it is relatively simpler than the finite element method, and calculating speed of computer is very fast and the precision of computation is high. In the process of dynamic analysis, the uncoupled equation of motion is derived from simultaneous equation of the motion of cable-stayed bridge and vehicle travelling by using mode shape, which was borne from system of undamped free vibration. The solution of the uncoupled equation of motion, that is, time history of response of deflections, velocity and acceleration on reference coordinate system, is found by Newmark-${\beta}$ method, a kind of direct integral method. After the time history of dynamic response was gotten, and it was transfered to the time history of dynamic response of cable-stayed bridge by linear transformation of coordinates. As a result of this numerical analysis, effect of dynamic behavior for cable-stayed bridge under the vehicle load has varied depending on parameter of design, that is, the ratio of span, the ratio of main span length, tower height, the flexural rigidity of longitudinal girder, the flexural rigidity of tower, and the cable stiffness, investigated. Very good agreements with the existing solution in the literature are shown for the uncracked plate as well as the cracked plate.

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Development of Mobile System for Crop Situation Investigation using GPS based on GIS (GIS기반 GPS를 이용한 농작물 작황 조사 모바일 시스템 구축)

  • Mun, Young-Chae;Lee, Hong-Ro
    • Journal of the Korean Association of Geographic Information Studies
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    • v.11 no.4
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    • pp.22-31
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    • 2008
  • Recently, with the develop of the location tracking technology using GPS and mobile device such as PDA and UMPC, it is used in various application fields that is coordinate transformation and compensation using GPS, is client development for Mobile GIS using GIS and is development of surface survey system for archaeological site based on mobile. In this paper, we develop the system that can investigate the growth information and production information of rice in crop of the field using mobile device, show position information of user and rice in digital map using GIS and save the investigated crop information and position information in database in server. The system which is developed in this paper consists of modules that the user management module is able to restrict database approaches in authority by of the user, the crops management module is able to save and search crop information in database in server, the map module is able to show position information of user and crops in digital map, the location information module is able to convert received location information from GPS and the communication module is able to send and receive data between GPS and mobile device and between mobile device and database. Finally, this paper shall contribute to efficient management and investigation of birth information of crop in field.

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REAL - TIME ORBIT DETERMINATION OF LOW EARTH ORBIT SATELLITES USING RADAR SYSTEM AND SGP4 MODEL (RADAR 시스템과 SGP4 모델을 이용한 저궤도 위성의 실시간 궤도결정)

  • 이재광;이성섭;윤재철;최규홍
    • Journal of Astronomy and Space Sciences
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    • v.20 no.1
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    • pp.21-28
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    • 2003
  • In case that we independently obtain orbital informations about the low earth satellites of foreign countries using radar systems, we develop the orbit determination algorithm for this purpose using a SGP4 model with an analytical orbit model and the extended Kalman filter with a real-time processing method. When the state vector is Keplerian orbital elements, singularity problems happen to compute partial derivative with respect to inclination and eccentricity orbit elements. To cope with this problem, we set state vector osculating to mean equinox and true equator cartesian elements with coordinate transformation. The state transition matrix and the covariance matrix are numerically computed using a SGP4 model. Observational measurements are the type of azimuth, elevation and range, filter process to each measurement in a lump. After analyzing performance of the developed orbit determination algorithm using TOPEX/POSEIDON POE(precision 0.bit Ephemeris), its position error has about 1 km. To be similar to performance of NORAD system that has up to 3km position accuracy during 7 days need to radar system performance that have accuracy within 0.1 degree for azimuth and elevation and 50m for range.

ACQUISITION OF THE FLIGHT INFORMATION USING THE KSR-3 MAGNETOMETER (KSR-3 탑재 자력계를 이용한 비행정보 획득 연구)

  • Kim, Sun-Mi;Jang, Min-Hwan;Lee, Dong-Hun;Han, Young-Seok;Kim, Jun;Hwang, Seung-Hyun;Lee, Eun-Seok;Lee, Sun-Min;Kim, Hyo-Jin;Lee, Su-Jin
    • Journal of Astronomy and Space Sciences
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    • v.20 no.1
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    • pp.29-42
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    • 2003
  • The KSR-3 magnetometers consist of the fluxgate magnetometer (MAG/AIM) for acquiring the rocket flight attitude information, and the search-coil magnetometer (MAG/SIM) for the observation of the Earth's magnetic fluctuations. The position (latitude, longitude, and height) and flight condition (the transformation angle) of the rocket is measured after the data based on these two magnetometers are compared with IGRF The gap in the vector of magnetic field between the position of the launching point and an impact point is taken into account in data reduction. Angular variation of pitch, yaw, and roll can be researched when the data is applied to the coordinate system of the rocket.

Study of Robust Position Recognition System of a Mobile Robot Using Multiple Cameras and Absolute Space Coordinates (다중 카메라와 절대 공간 좌표를 활용한 이동 로봇의 강인한 실내 위치 인식 시스템 연구)

  • Mo, Se Hyun;Jeon, Young Pil;Park, Jong Ho;Chong, Kil To
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.41 no.7
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    • pp.655-663
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    • 2017
  • With the development of ICT technology, the indoor utilization of robots is increasing. Research on transportation, cleaning, guidance robots, etc., that can be used now or increase the scope of future use will be advanced. To facilitate the use of mobile robots in indoor spaces, the problem of self-location recognition is an important research area to be addressed. If an unexpected collision occurs during the motion of a mobile robot, the position of the mobile robot deviates from the initially planned navigation path. In this case, the mobile robot needs a robust controller that enables the mobile robot to accurately navigate toward the goal. This research tries to address the issues related to self-location of the mobile robot. A robust position recognition system was implemented; the system estimates the position of the mobile robot using a combination of encoder information of the mobile robot and the absolute space coordinate transformation information obtained from external video sources such as a large number of CCTVs installed in the room. Furthermore, vector field histogram method of the pass traveling algorithm of the mobile robot system was applied, and the results of the research were confirmed after conducting experiments.

The Construction of Kinematic Survey System for the Efficiency of GPS Cadastral Survey (지적측량 효율성 향상을 위한 GPS 이동측량 시스템 구축)

  • 김경택;장지원
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.20 no.4
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    • pp.389-398
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    • 2002
  • As the necessity of land information has increased according to development of computer and Information-communication, people have been interested in the satellite measurement system that can update Cadastral and Geographical information rapidly and exactly. Most Cadastral base points which had limitation of measurement technology in the 1910s were less accurate and were destroyed through the Korean War. They also many problems in the process of reinstallation. So, they require the quick and correct method of measurement in re-equipment of a base point and a parcel based survey and so on. This study intends to present the GPS survey direction by understanding and analysing all sorts of problems rising in case of applying the GPS to cadastral area in order to increase the efficiency of the GPS measurement, and also develop the GPS kinematic survey program to apply to the efficiency of a kinematic survey. As a result of research, I could confirm the accuracy of Cadastral base points in Kwangju area by using Korea GPS array and a base point, and could get the result similar to existent cadastral survey result with the coordinate conversion program of Cadastral technology research institute. We however have to pay our attention to the transformation of the plane coordinates because the difference between tens of cm and the existing result can outbreak according to the Gauss conformal double projection method. And, I could figure out the practicality of the developed GPS kinematic survey program, compared with common use program. I expect that it can be applied to the digital cadastral survey and the cadastral map renewal as well.

A Generation of Digital Elevation Model for GSIS using SPOT Satellite Imagery (GSIS의 자료기반 구축을 위한 SPOT 위성영상으로부터의 수치표고모형 생성)

  • Yeu, Bock-Mo;Park, Hong-Gi;Jeong, Soo;Kim, Won-Dae
    • Journal of Korean Society for Geospatial Information Science
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    • v.1 no.1 s.1
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    • pp.141-152
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    • 1993
  • This study aims to generate digital elevation model from digital satellite imagery. Digital elevation model is being increasingly used for geo-spatial information system database development and for digital map production. Image matching technique was applied to acquire conjugate image coordinates and the algorithm for digital elevation model generation is presented in this study The exterior orientation parameters of the satellite imagery is determined by bundle adjustment and standard correlation was applied for image matching conjugate of image points. The window as well as the searching area have to be defined in image matching. Different sizes of searching area were tested to study the appropriate size of the searching area. Various coordinate transformation methods were applied to improve the computation speed as well as the geometric accuracy. The results were then statistically analysed after which the searching area is determined with the safety factor. To evaluate the accuracy of digital elevation model, 3-D coordinates were extracted from 1/5000 scale topographic map and this was compared to the digital elevation model generated from satellite imagery. The algorithm for generation of digital elevation model generated from satellite imagery is presented in this study which will prove effective in the database development of geo-spatial information system and in digital elevation modelling of large areas.

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