• Title/Summary/Keyword: Reference coordinate

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Architecture Design for Maritime Centimeter-Level GNSS Augmentation Service and Initial Experimental Results on Testbed Network

  • Kim, Gimin;Jeon, TaeHyeong;Song, Jaeyoung;Park, Sul Gee;Park, Sang Hyun
    • Journal of Positioning, Navigation, and Timing
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    • v.11 no.4
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    • pp.269-277
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    • 2022
  • In this paper, we overview the system development status of the national maritime precise point positioning-real-time kinematic (PPP-RTK) service in Korea, also known as the Precise POsitioning and INTegrity monitoring (POINT) system. The development of the POINT service began in 2020, and the open service is scheduled to start in 2025. The architecture of the POINT system is composed of three provider-side facilities-a reference station, monitoring station, and central control station-and one user-side receiver platform. Here, we propose the detailed functionality of each component considering unidirectional broadcasting of augmentation data. To meet the centimeter-level user positioning accuracy in maritime coverage, new reference stations were installed. Each reference station operates with a dual receiver and dual antenna to reduce the risk of malfunctioning, which can deteriorate the availability of the POINT service. The initial experimental results of a testbed from corrections generated from the testbed network, including newly installed reference stations, are presented. The results show that the horizontal and vertical accuracies satisfy 2.63 cm and 5.77 cm, respectively. For the purpose of (near) real-time broadcasting of POINT correction data, we designed a correction message format including satellite orbit, satellite clock, satellite signal bias, ionospheric delay, tropospheric delay, and coordinate transformation parameters. The (near) real-time experimental setup utilizing (near) real-time processing of testbed network data and the designed message format are proposed for future testing and verification of the system.

Dating Sun's Locations at Equinoxes Inscribed on Cheonsang Yeolcha Bunyajido

  • Sang-Hyeon Ahn
    • Journal of The Korean Astronomical Society
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    • v.56 no.2
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    • pp.201-212
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    • 2023
  • The inscription of Cheonsang Yeolcha Bunyajido (天象列次分野之圖) has the sun's locations at the equinoxes, which must have been copied from the astronomical treatises in Chinese historical annals, Songshu (宋書) and Jinshu (晉書). According to the treatises, an astronomer Wang Fan (王蕃, 228-266 CE) referred those values from a calendrical system called Qianxiangli (乾象曆, 223 CE), from which it is confirmed that it adopted the sun's location at the winter solstice of the $(21{\frac{1}{4}})^{th}$ du of the 8th lunar lodge Dou (斗) as the reference direction for equatorial lodge angles. This indicates that the sun's locations at equinoxes and solstices in the calendrical system are the same as those in Jingchuli (景初曆, 237 CE). Hence, we propose that the sun's location at the autumnal equinox in Cheonsang Yeolcha Bunyajido should be corrected from 'wu du shao ruo' (五度少弱), meaning the $(5{\frac{1}{6}})^{th}$ du, to 'wu du ruo' (五度弱), meaning the $(4{\frac{11}{12}})^{th}$ du, of the first lunar lodge Jiao (角), as seen in Jingchuli. We reconstruct the polar coordinate system used in circular star charts, assuming that the mean motion rule was applied and its reference direction was the sun's location at the winter solstice. Considering the precession, we determined the observational epoch of the sun's location at the winter solstice to be to = -18.3 ± 43.0 adopting the observational error of the so-called archaic determinatives (古度). It is noteworthy that the sun's locations at equinoxes inscribed in Cheonsang Yeolcha Bunyajido originated from Houhan Sifenli (後漢 四分曆) of the Latter Han dynasty (85 CE), while the coordinate origin in the star chart is related to Taichuli (太初曆) of the Former Han dynasty (104 BCE).

Calibration/Compensation of Errors of the Touch Probe (접촉식 프로브의 오차교정 및 보정기술)

  • 박희재;이교일
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.8
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    • pp.2081-2087
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    • 1994
  • Touch trigger probes are widely used for inspection purposed in the CMM(Coordinate meauring machine) or machine tool. The errors introduced by measurement probe are fairy systematic, thus can be calibrated and compensated properly. This paper presents a technique for the error calibration and compensation of the probe errors, which can be easily applicable to the manufacturers and users of the measurement probe. The probe coordinate system is defined for the probe error assessment, and a reference sphere ball is measured, and the probe errors are calibrated. The calibrated probe errors are represented in the 3D error map and 2D error map along probing direction. Detail algorithms for the error compensation are proposed.

Mathematical Representation of Geometric Tolerances : Part 1 (기하 공차의 수학적 표현 : 1편)

  • Park, Sangho;Lee, Kunwoo
    • Journal of the Korean Society for Precision Engineering
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    • v.13 no.6
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    • pp.78-89
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    • 1996
  • Every mechanical component is fabricated with the variations in its size and shape, and the allowable range of the variation is specified by the tolerance in the design stage. Geometric tolerances specify the size or the thickness of each shape entity itself or its relative position and orientation with respect to datums. Since the range of shape variation can be represented by the variation of the coordinate system attached to the shape, the transformation matrix of the coordinate system would mathematically express the range of shape variation if the interval numbers are inserted for the elements of the transformation matrix. For the shape entity specified by the geometric tolerance with reference to datums, its range of variation can be also derived by propagating the transformation matrices composed of interval numbers. The propagation depends upon the order of precedence of datums.

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The Position Estimation of a Car Using 2D Vision Sensors (2D 비젼 센서를 이용한 차체의 3D 자세측정)

  • 한명철;김정관
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1996.11a
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    • pp.296-300
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    • 1996
  • This paper presents 3D position estimation algorithm with the images of 2D vision sensors which issues Red Laser Slit light and recieves the line images. Since the sensor usually measures 2D position of corner(or edge) of a body and the measured point is not fixed in the body, the additional information of the corner(or edge) is used. That is, corner(or edge) line is straight and fixed in the body. For the body which moves in a plane, the Transformation matrix between the body coordinate and the reference coordinate is analytically found. For the 3D motion body, linearization technique and least mean squares method are used.

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An investigation of normal range of tongue color in numerical coordinate (정상 설색의 수치적 기준에 관한 고찰)

  • Kim, Changhee;Kim, Kiwang
    • The Journal of the Society of Korean Medicine Diagnostics
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    • v.17 no.3
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    • pp.215-223
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    • 2013
  • Objectives Although tongue diagnosis is one of major diagnostic methods in east Asian traditional medicine, the standard of normal tongue color have not established. So we tried to suggest the method to establish the standard of normal tongue color range and the pilot data about the normal range. Materials and methods: 22 precedent study papers that presented the numerical data of normal (light red) tongue color were analyzed. At the same time, 46 adult people tongue color data were also collected and analyzed. Results Precedent studies showed remarkable fluctuations of the range of normal tongue color. Collected tongue color data of the 46 people showed mean Hue value 2 and standard deviation 14 in HSB system. Additionally, 3 ways of standard establishment for normal tongue color were suggested. Conclusion We suggest statistical method as a reasonable method for tongue color standard establishment and $2{\pm}14$ as a reference Hue value for normal tongue color.

Performance Analysis of Real-Time Kinematic GPS Positioning using Continuous Operating Reference Station

  • Lee In-Su;Lee Jae-One;An Sang-Jun
    • Spatial Information Research
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    • v.12 no.4 s.31
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    • pp.371-382
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    • 2004
  • Continuously Operating Reference Stations (CORS) provides GPS measurements to support high accuracy CPS positioning. The CORS improves GPS positioning productivity by eliminating the requirement for GPS users to operate two receivers. Previously, this is achieved by providing data from CORS to users in post-mission mode. However, the efficiency of the CORS will be maximized by upgrading it in real-time operation using RTK-GPS surveying because users can obtain centimeter-level accuracy in real-time without operating their own reference stations. In this research, authors extracted the arbitrary point's coordinate which is using GPS CORS data, now served in RINEX FORMAT via Internet, with observation network of the existing triangulation and GPS CORS data. And then, RTK GPS was performed with this arbitrary point as reference station.

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Measurement and Algorithm Calculation of Maxillary Positioning Change by Use of an Optoelectronic Tracking System Marker in Orthognathic Surgery (악교정수술에서 광전자 포인트 마커를 이용한 상악골 위치 변화의 계측 및 계산 방법 연구)

  • Park, Jong-Woong;Kim, Soung-Min;Eo, Mi-Young;Park, Jung-Min;Myoung, Hoon;Lee, Jong-Ho;Kim, Myung-Jin
    • Maxillofacial Plastic and Reconstructive Surgery
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    • v.33 no.3
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    • pp.233-240
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    • 2011
  • Purpose: To apply a computer assisted navigation system to orthognathic surgery, a simple and efficient measuring algorithm calculation based on affine transformation was designed. A method of improving accuracy and reducing errors in orthognathic surgery by use of an optical tracking camera was studied. Methods: A total of 5 points on one surgical splint were measured and tracked by the Polaris $Vicra^{(R)}$ (Northern Digital Inc Co., Ontario, Canada) optical tracking system in two cases. The first case was to apply the transformation matrix at pre- and postoperative situations, and the second case was to apply an affine transformation only after the postoperative situation. In each situation, the predictive measuring value was changed to the final measuring value via an affine transformation algorithm and the expected coordinates calculated from the model were compared with those of the patient in the operation room. Results: The mean measuring error was $1.027{\pm}0.587$ using the affine transformation at pre- and postoperative situations and the average value after the postoperative situation was $0.928{\pm}0.549$. The farther a coordinate region was from the reference coordinates which constitutes the transform matrixes, the bigger the measuring error was found which was calculated from an affine transformation algorithm. Conclusion: Most difference errors were brought from mainly measuring process and lack of reproducibility, the affine transformation algorithm formula from postoperative measuring values by using of optic tracking system between those of model surgery and those of patient surgery can be selected as minimizing the difference error. To reduce coordinate calculation errors, minimum transformation matrices must be used and reference points which determine an affine transformation must be close to the area where coordinates are measured and calculated, as well as the reference points need to be scattered.

Application Method of Site Calibration Function of Network RTK Survey for Local Coordinate System Result Analysis (지역좌표계 성과분석을 위한 네트워크 RTK측량 사이트 캘리브레이션 기능 적용 방안)

  • Shin, Chang Soo;Choi, Yun Soo;Park, Moon Jae
    • Journal of Cadastre & Land InformatiX
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    • v.47 no.1
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    • pp.95-110
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    • 2017
  • The network RTK surveying has been widely used in the field of cadastral surveys in recent years, and its use is gradually expanding. As a result of the implementation of GPS static surveys by civilian companies in accordance with the progress of the cadastral surveys and gradual civilian transfer plans and cadastral surveys, there has been an increase in the number of civilian companies performing surveys. In this paper, we describe the process of applying the results of analysis of conformity using the network RTK site calibration function on the local coordinate system to the GPS static surveying of the cadastral reference points in Anyang city. In addition, the measurement results of the network RTK site calibration function and the results of the GPS static surveying network reconciliation in the local coordinate system were compared, and the performance was determined within 0.04m maximum of RMSE(Root Mean Square Error), and further study on the application method is needed.

Discontinuity in GNSS Coordinate Time Series due to Equipment Replacement

  • Sohn, Dong-Hyo;Choi, Byung-Kyu;Kim, Hyunho;Yoon, Hasu;Park, Sul Gee;Park, Sang-Hyun
    • Journal of Positioning, Navigation, and Timing
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    • v.11 no.4
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    • pp.287-295
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    • 2022
  • The GNSS coordinate time series is used as important data for geophysical analysis such as terrestrial reference frame establishment, crustal deformation, Earth orientation parameter estimation, etc. However, various factors may cause discontinuity in the coordinate time series, which may lead to errors in the interpretation. In this paper, we describe the discontinuity in the coordinate time series due to the equipment replacement for domestic GNSS stations and discuss the change in movement magnitude and velocity vector difference in each direction before and after discontinuity correction. To do this, we used three years (2017-2019) of data from 40 GNSS stations. The average magnitude of the velocity vector in the north-south, east-west, and vertical directions before correction is -12.9±1.5, 28.0±1.9, and 4.2±7.6 mm/yr, respectively. After correction, the average moving speed in each direction was -13.0±1.0, 28.2±0.8, and 0.7±2.1 mm/yr, respectively. The average magnitudes of the horizontal GNSS velocity vectors before and after discontinuous correction was similar, but the deviation in movement size of stations decreased after correction. After equipment replacement, the change in the vertical movement occurred more than the horizontal movement variation. Moreover, the change in the magnitude of movement in each direction may also cause a change in the velocity vector, which may lead to errors in geophysical analysis.