Journal of Korean Society for Geospatial Information Science (대한공간정보학회지)

Korea Spatial Information Society (대한공간정보학회)
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Determination of the Optimal Height using the Simplex Algorithm in Network-RTK Surveying

Network-RTK측량에서 심플렉스해법을 이용한 최적표고 결정

  • Lee, Suk Bae (Department of Civil Engineering, Gyeongnam National University of Science and Technology) ;
  • Auh, Su Chang (Department of Civil Engineering, Gyeongnam National University of Science and Technology)
  • 이석배 (경남과학기술대학교 토목공학과) ;
  • 어수창 (경남과학기술대학교 토목공학과)
  • Received : 2016.02.05
  • Accepted : 2016.03.17
  • Published : 2016.03.31
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Abstract

GNSS/Geoid positioning technology allows orthometric height determination using both the geoidal height calculated from geoid model and the ellipsoidal height achieved by GNSS survey. In this study, Network-RTK surveying was performed through the Benchmarks in the study area to analyze the possibility of height positioning of the Network-RTK. And the orthometric heights were calculated by applying the Korean national geoid model KNGeoid13 according to the condition of with site calibration and without site calibration and the results were compared. Simplex algorithm was adopted for liner programming in this study and the heights of all Benchmarks were calculated in both case of applying site calibration and does not applying site calibration. The results were compared to Benchmark official height of the National Geographic Information Institute. The results showed that the average value of the height difference was 0.060m, and the standard deviation was 0.072m in Network-RTK without site calibration and the average value of the height difference was 0.040m, and the standard deviation was 0.047m in Network-RTK with the application of the site calibration. With linearization method to obtain the optimal solution for observations it showed that the height determination within 0.033m was available in GNSS Network-RTK positioning.

GNSS/Geoid 측위 기술은 GNSS측량으로 결정한 타원체고와 지오이드모델에서 계산된 지오이드고를 이용하여 측정위치의 정표고 결정을 가능하게 한다. 본 연구에서는 Network-RTK 방식에 의한 표고결정 적용성을 분석하기 위하여 연구대상지역의 수준점에 대한 Network-RTK 측량을 실시하였다. 그리고 우리나라의 KNGeoid13 지오이드모델을 적용하여 Network-RTK에 의한 표고를 산출하고 현장최적화를 적용한 계산결과와 적용하지 않은 계산결과를 비교하였다. 현장최적화 여부에 상관없이 모든 관측결과를 가지고 심플렉스법을 이용하여 최적표고값을 결정하였으며 이 결과를 국토지리정보원의 수준점 성과와 비교하였다. 연구결과 현장최적화를 적용하지 않은 Network-RTK 관측의 표고 정확도의 평가결과 평균오차값은 0.060m, 표준편차는 0.072m 이었으며, 현장최적화를 적용한 Network-RTK 관측 표고정확도의 평균오차값은 0.040m, 표준편차는 0.047m 이었다. 모든 관측값을 선형화에 사용하여 최적표고를 구한 경우 Network-RTK 측량은 0.033m의 정확도로 표고산출이 가능하다는 것을 알 수 있었다.

Keywords

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