Journal of Korean Society for Geospatial Information Science (대한공간정보학회지)

Korea Spatial Information Society (대한공간정보학회)
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Development and Inspection of the Ortho-Calc v1.0 Program for the Calculation of the Orthometric Correction

정사보정량 계산을 위한 Ortho-Calc v1.0 프로그램의 개발과 검증

  • Lee, Suk Bae (Department of Civil Engineering, Gyeongnam National University of Science and Technology) ;
  • Sim, Jung Min (Department of Cadastre and Civil Engineering, Vision University, College of Jeonju)
  • 이석배 (경남과학기술대학교 토목공학과) ;
  • 심정민 (전주비전대학교 지적토목학과)
  • Received : 2015.07.23
  • Accepted : 2015.08.26
  • Published : 2015.09.30
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Abstract

To determine the accurate height, it should be considered geometric height difference obtained by levelling as well as the physical height difference what so called orthometric correction. The orthometric correction amount is small enough to ignore at flatland but the amount is big at high mountains, so it should be considered to obtain accurate height at high mountains. But the calculation process is difficult and complex, not easy to calculate. So, to make the process easy using a user-friendly visual, a orthometric correction calculation program Ortho-Calc. v1.0 was developed in this study. This program was adopted the algorithm of Nassar and Hwang & Hsiao, and Strang Van Hees and it could be to selectivily calculate the correction amount. The inspection result exhibited high accuracy with the standard deviation of 0.024mm by the comparison of previous study. Therefore, This program Ortho-Calc. v1.0 developed in this study, will contribute orthometric correction calculation quickly and easily. And, if this program is widely popular, it could be expected to make a contribution the Benchmark's official height renewal using orthometric correction.

표고를 정확하게 결정하기 위해서는 수준측량에 의해 얻게 되는 기하학적 표고차뿐만 아니라 중력의 차이에 의한 물리적인 표고차를 고려해 주어야 하는데 이것이 정사보정량이다. 정사보정량은 평탄지에서는 무시할 정도로 그 양이 작으나 표고가 높은 산악지에서는 그 양을 고려해 주어야만 정확한 표고를 산출할 수 있으며, 계산과정이 복잡하여 쉽게 계산할 수 없는 어려움이 있다. 본 연구에서는 이러한 정사보정량을 쉽게 계산할 수 있도록 비주얼 베이직 프로그램을 이용한 사용자 친화형 프로그램 Ortho-Calc. v1.0을 개발하였다. Nassar와 Hwang & Hsiao, 그리고 Strang Van Hees의 알고리즘을 이용하여 정사보정량을 선택적으로 계산할 수 있도록 하였으며 결과를 검증한 결과 기존 연구결과와 표준편차 0.024mm의 높은 정밀도를 나타내었다. 따라서 본 연구에서 개발한 정사보정량 계산 프로그램 Ortho-Calc. v1.0 프로그램이 널리 보금되어 활용된다면 정사보정량 계산을 빠르고 쉽게 할 수 있도록 기여할 것이며 우리나라의 정표고 성과 고시에도 기여할 수 있을 것으로 기대된다.

Keywords

References

  1. Heiskanen, W. A. and Moritz, H., 1967, Physical geodesy, Freeman and Company, pp. 160-172.
  2. Hofmann-Wellehof, B., and Moritz, H., 2006, Physical geodesy, Springer WienNewYork, pp. 156-172.
  3. Hwang, C., and Hsiao Y. S., 2003, Orthometric corrections from leveling, Gravity, Density and Elevation data : a Case Study in Taiwan, Journal of Geodesy, No. 77, pp. 279-291. https://doi.org/10.1007/s00190-003-0325-6
  4. Imakiire T, and Hakoiwa E, 2004, JGD2000-The new height system in Japan, Bulletin of the Geographic Survey, No. 51, pp. 31-51.
  5. Lee, S. B, and Kim, C. Y., 2011, Calculation of orthometric correction by observed gravity at Korean benchmark line, Journal of Korean Society of Surveying, Geodesy, Photogrammetry and Cartography, Vol. 29, No. 3, pp. 319-325. https://doi.org/10.7848/ksgpc.2011.29.3.319
  6. Lee, S. B, 2013, Accuracy Evaluation of the height determined by Network-RTK VRS positioning, Journal of the Korean Society for Geospatial Information System, Vol. 21, No. 4, pp. 3-12 https://doi.org/10.7319/KOGSIS.2013.21.4.003
  7. Moritz, H., 2000, Geodetic Reference System 1980, Journal of Geodesy, Vol. 74, No. 1, pp. 128-162. https://doi.org/10.1007/s001900050278
  8. Nassar, M.M., 1977, Gravity field and levelled heights in Canada, Geodesy and Geomatics Engineering Technical Report, No. 41, pp. 54-72.
  9. NGII(National Geographic Information Institute), 2006, A Study on the network adjustment at national Bench Mark. pp. 121-129.
  10. NGII(National Geographic Information Institute), 2011, A study on the construction of integrated geodetic network based on orthometric height, No. 11-1611265-000070-01, pp. 279-292.
  11. Strang van Hees, G. L., 1983, Gravity Survey of the North Sea, Marine Geodesy, Vol 6, No. 2, pp. 167-182. https://doi.org/10.1080/15210608309379453
  12. Strang van Hees, G. L., 1992, Practical formulas for the computation of the orthometric, dynamic and normal heights, Zeitschrift fur Vermessungwesen, pp. 727-734.