Learning-based computing techniques in geoid modeling for precise height transformation

Erol, Bihter; Erol, Serdar

doi:10.1016/j.cageo.2012.09.010

Cited by 32 publications

(19 citation statements)

References 35 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In order to generate the geoid model at reference stations, geoid heights are calculated by Eq. (3) [6,16,18].…”

Section: Polynomial Interpolationmentioning

confidence: 99%

See 1 more Smart Citation

Local geoid determination in strip area projects by using polynomials, least-squares collocation and radial basis functions

Doğanalp

Selvi

2015

Measurement

View full text Add to dashboard Cite

“…In order to generate the geoid model at reference stations, geoid heights are calculated by Eq. (3) [6,16,18].…”

Section: Polynomial Interpolationmentioning

confidence: 99%

“…In many GNSS applications, users need the transformation between the ellipsoidal height and orthometric height [4][5][6][7][8][9]. The primary reason is the utilization of orthometric heights determined by leveling in engineering applications and the difficulty of conducting leveling measurements for each point.…”

Section: Introductionmentioning

confidence: 99%

Local geoid determination in strip area projects by using polynomials, least-squares collocation and radial basis functions

Doğanalp

Selvi

2015

Measurement

View full text Add to dashboard Cite

“…1). It is possible with sophisticated GPS data processing and precise leveling to obtain a local geometric geoid model using the GPS/leveling observations (Erol and Erol 2013;Featherstone et al 1998;Zhong 1997). The optimal combination of GPS and leveling observations along with the available geoid models (Featherstone 2000;Soltanpour et al 2006;You 2006) and the ultimate accuracy of such a combination is still a challenging problem (Fotopoulos 2005;Fotopoulos et al 2003).…”

Section: Introductionmentioning

confidence: 99%

Combination of GPS and Leveling Observations and Geoid Models Using Least-Squares Variance Component Estimation

et al. 2017

View full text Add to dashboard Cite

In the last few years, satellite-based positioning techniques, such as the Global Positioning System (GPS), proved their abilities in various geodetic fields. Height determination, as one of such applications, requires a more likely correct geoid model to provide reliable geoid heights for transformation of the ellipsoidal heights to orthometric heights. An important step is then to establish such a model by optimal combination of the available geoid models. This can be achieved via variance component estimation (VCE) methods, which provide appropriate weights to GPS and leveling observations as well as the geoid models. The authors demonstrate the efficacy of the least-squares VCE (LS-VCE) to this problem. The algorithm is applied to real data sets in Shahin-Shahr, Isfahan, Iran, to evaluate the EGM2008 and GGMplus Earth geopotential models and a regional geoid model (named IRGeoid10) in terms of agreement to the GPS/leveling observations and introduce the more likely correct model over the case-study area. The results indicate that the EGM2008 model shows a good agreement (2-mm precision on the fitted surface) with the results of the GPS/leveling observations in this very small area. It is notable, however, that the present contribution is mainly of interest from an algorithmic point of view because concrete conclusions cannot be made when comparing the results due to the small case-study area used. By optimal combination of these data sets, the weights of which are estimated by LS-VCE, a geometric surface is presented to approximate the local vertical datum in the case-study region. This surface can convert the ellipsoidal heights, which can be obtained from GPS, to the orthometric heights with high precision. individual papers. This paper is part of the Journal of Surveying Engineering, © ASCE, ISSN 0733-9453. © ASCE 04016023-1 J. Surv. Eng. J. Surv. Eng., 04016023 Downloaded from ascelibrary.org by Vahab Nafisi on 07/31/16. Copyright ASCE. For personal use only; all rights reserved. © ASCE 04016023-9 J. Surv. Eng. J. Surv. Eng., 04016023 Downloaded from ascelibrary.org by Vahab Nafisi on 07/31/16. Copyright ASCE. For personal use only; all rights reserved. © ASCE 04016023-11 J. Surv. Eng. J. Surv. Eng., 04016023 Downloaded from ascelibrary.org by Vahab Nafisi on 07/31/16.

show abstract

“…Height determination and vertical control with a precise geoid model constitutes one of the most challenging research subjects of geodesy, and it attracts more attention since 1980s, related with the wide spread and intensive use of GNSS techniques in surveying (Erol and Erol 2013). According to Sjoberg (2005) and Hirt (2011), many strategies used in gravity field modeling were developed at a time when the precision goal to determine the geoid height was 10 cm or less.…”

Section: Introductionmentioning

confidence: 99%

Development of a Local Geoid Model at the Federal District, Brazil, Patch by the Remove-Compute-Restore Technique, Following Helmert's Condensation Method

Marotta

Vidotti

2017

Bol. Ciênc. Geod.

View full text Add to dashboard Cite

Abstract:There are several techniques for determining geoid heights using ground gravity data, the geopotential models, the astro-geodetic components or a combination of them. Among the techniques used, the Remove-Compute-Restore (RCR) technique has been widely applied for the accurate determination of the geoid heights. This technique takes into account short, medium and long wavelength components derived from the elevation data obtained from Digital Terrain Models (DTM), ground gravity data and global geopotential models, respectively. This technique can be applied after adopting the procedures to compute gravity anomalies and, then, the geoid model, considering the integration of different wavelengths mentioned, and their compatibility with the vertical datum adopted. Thus, this paper presents the procedures, involving the RCR technique, following Helmert's condensation method, and its application to compute one local geoid model for the Federal District, Brazil. As a result, the local geoid model computed for the studied area was consistent with the available values of geoid heights derived from geometrical levelling technique supported by GNSS positioning.

show abstract

Learning-based computing techniques in geoid modeling for precise height transformation

Cited by 32 publications

References 35 publications

Local geoid determination in strip area projects by using polynomials, least-squares collocation and radial basis functions

Local geoid determination in strip area projects by using polynomials, least-squares collocation and radial basis functions

Combination of GPS and Leveling Observations and Geoid Models Using Least-Squares Variance Component Estimation

Development of a Local Geoid Model at the Federal District, Brazil, Patch by the Remove-Compute-Restore Technique, Following Helmert's Condensation Method

Contact Info

Product

Resources

About