Transformation of Ellipsoid Heights to Local Leveling Heights

Yanalak, Mustafa; Baykal, Orhan

doi:10.1061/(asce)0733-9453(2001)127:3(90)

Cited by 29 publications

(8 citation statements)

References 21 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In a second attempt: the GPS derived geoid was compared to the GeoJordan model created with GGM EGM96. At the points of GPS meas-urements, the nominal resulting accuracy was at decimeter level, these values were deducted by interpolating the model by means of weighted average technique (Yanalak and Baykal, 2001). Thus the point differences between the GPS undulation and the GeoJordan model showed a systematic behavior in some zones (fig.…”

Section: Model Validation and Discussionmentioning

confidence: 99%

See 1 more Smart Citation

Preliminary study of the Gravimetric Local Geoid Model in Jordan: case study (GeoJordan Model)

Al‐Bayari

Al-Zoubi

2009

Annals of Geophysics

View full text Add to dashboard Cite

Recently, there has been an increased interest in studying and defining the Local and Regional Geoid Model worldwide, due to its importance in geodetic and geophysics applications.The use of the Global Positioning System (GPS) is internationally growing, yet the lack of a Geoid Model for Jordan has limited the use of GPS for the geodetic applications in the country. This work aims to present the preliminary results that we propose for «The Gravimetric Jordanian Geoid Model (GeoJordan)». The model is created using gravimetric data and the GRAVSOFT program. The model is validated using GPS and precise level measurements in the Amman area. Moreover, we present a comparison using the Global Geopotential Model OSU91A and the EGM96 Model and the results showed great discrepancies. We also present the approach used to obtain the orthometric height from GPS ellipsoidal height measurements. We found that the error margin obtained in this work of the GeoJordan after fitting the data with GPS/leveling measurements is about (10 cm) in the tested area whereas the standard error of the created model is about (40 cm).

show abstract

Section: Model Validation and Discussionmentioning

confidence: 99%

“…The mathematical models for regression plane and multiquadric interpolation are reported in (Yanalak and Baykal, 2001) Fig. 6.…”

Section: Model Validation and Discussionmentioning

confidence: 99%

Preliminary study of the Gravimetric Local Geoid Model in Jordan: case study (GeoJordan Model)

Al‐Bayari

Al-Zoubi

2009

Annals of Geophysics

View full text Add to dashboard Cite

show abstract

“…Creating and selecting the most appropriate and realistic model in geoid determination is extremely important for the practitioners using such models. In the literature to date, many interpolation and least square collocation methods have been used for the geometric modeling of local geoids (Zhan-ji and Yongqi, 1999;Yanalak and Baykal, 2001; Doganalp and Selvi, 2015;Doganalp, 2016;Karaaslan, et al, 2016;Şişman and Elevli, 2018;Yılmaz and Kuru, 2019;Yılmaz, 2019).…”

Section: Introductionmentioning

confidence: 99%

Local geoid determination using a generalized regression neural network and interpolation methods: A case study in Kars, Turkey

Akar

Konakoǧlu

2020

Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi

View full text Add to dashboard Cite

This study aimed to determine the most suitable local geoid model based on 641 GNSS/leveling points within the borders of Kars Province in eastern Turkey using the generalized regression neural network (GRNN), weighted average (WA), multiquadric (MQ), inverse multiquadric (IMQ) function, and local polynomial (LP) method. Among these methods used in local geoid determination, the studies conducted with the GRNN method are very limited in the literature. To test the performance of the model, 169 GNSS/leveling points were selected as test data. When selecting reference points and test points, care was taken to distribute these points homogeneously within the study area. The criteria of root mean square error (RMSE), mean absolute error (MAE), and coefficient of determination (R 2 ) were used to assess the accuracy and error rates of the results achieved using the different methods. According the results of analysis, GRNN method yielded better results than other interpolation methods. These results have showed that GRNN method can be taken into account in modeling various geodesy problems.

show abstract

“…This, of course, led to the necessity of coordinate transformation between the two coordinate systems. One-, two-or threedimensional (1D, 2D or 3D) coordinate transformation has been conducted in various studies to date (Yang, 1999;Yanalak and Baykal, 2001;Kinneen and Feathstone, 2004;Felus and Schaffrin, 2005;Soycan, 2005;Akyilmaz, 2007;Akyilmaz et al, 2009;Civicioglu, 2012;Sisman, 2014;Fazilova, 2017). In recent years, an alternative to coordinate transformation has emerged through the use of numerical techniques such as artificial neural networks (ANNs).…”

Section: Introductionmentioning

confidence: 99%