SavedAdd your journal

Journals / Afyon Kocatepe Üniversitesi Fen ve Mühendislik Bilimleri Dergisi / 2017 / Cilt: 17 - Sayı: 3

Türkiye’nin Batısında 3B Datum Dönüşümü için En Küçük Kareler Yaklaşımlarının Karşılaştırma Analizi

Comparative Analysis of Least-squares Approaches for 3D Datum Transformation in Western Turkey

Tamer BAYBURA
Mevlut GULLU
Mustafa YILMAZ
Pages
1019–1029
Publication Date
2022-10-12
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

The results showed that the WTLS transformed 3D coordinates with better accuracy than the LS and TLS methods

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In Turkey, the national reference frame was changed for geodetic applications in parallel with the increasing use of Global Navigation Satellite System technology.
📊
Key Findings & Data:Due to the reference frame change, the three-dimensional (3D) datum transformation has become compulsory between ED50 and WGS84.
💡
Conclusion & Impact:The results showed that the WTLS transformed 3D coordinates with better accuracy than the LS and TLS methods
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In Turkey, the national reference frame was changed for geodetic applications in parallel with the increasing use of Global Navigation Satellite System technology. Due to the reference frame change, the three-dimensional (3D) datum transformation has become compulsory between ED50 and WGS84. Several 3D datum transformation algorithms have been developed for geodetic applications. The wellknown technique is the Least-Squares (LS) method. In this study, alternative 3D datum transformation approaches (including the Total Least-Squares (TLS) and the Weighted TLS (WTLS) methods) were compared with the LS method over a test area. The results showed that the WTLS transformed 3D coordinates with better accuracy than the LS and TLS methods

Özet

Türkiye'de, Global Uydu Konumlama Sistemi teknolojisinin artan kullanımına paralel olarak, ulusal referans sistemi değiştirilmiştir. Referans sistemi değişikliğine bağlı olarak, ED50 ile WGS84 arasında üçboyutlu (3B) datum dönüşümü zorunlu hale gelmiştir. Jeodezik uygulamalar için çeşitli 3B datum dönüşüm algoritmaları geliştirilmiştir. En iyi bilinen teknik En-Küçük Kareler (EKK) dır. Bu çalışmada alternatif (Toplam En-Küçük Kareler (TEKK) yi ve ağırlıklı TEKK (ATEKK) yi içeren) 3B datum dönüşüm yaklaşımları bir test alanında EKK yöntemiyle karşılaştırılmıştır. Sonuçlar ATEKK nin 3B koordinatları EKK ve TEKK yöntemlerinden daha doğru dönüştürdüğünü göstermiştir. © Afyon Kocatepe Üniversitesi

🔖

Cite This Article

BAYBURA, T., GULLU, M., YILMAZ, M. (2022). Türkiye’nin Batısında 3B Datum Dönüşümü için En Küçük Kareler Yaklaşımlarının Karşılaştırma Analizi. Afyon Kocatepe Üniversitesi Fen ve Mühendislik Bilimleri Dergisi, Cilt: 17 - Sayı: 3, 1019–1029. https://ajindex.com/articles/430176

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (8)

  1. Akyilmaz, O., 2007. Total least squares solution of coordinate transformation. Surv Rev, 39(303), 68-80.
  2. Ayhan, ME., Demir, C., Lenk, O., Kilicoglu, A., Aktug, B., Acıkgoz, M., Fırat, O., Sengun, Y.S., Cingoz, A., Gurdal, M.A., Kurt, A., Ocak, M., Turkezer, A., Yıldız, H., Bayazıt, N., Ata, M., Caglar, Y., Ozerkan, A., 2002. Turkish National Fundamental GPS Network-1999A (TNGFN-99A). J Mapp (Spec Issue) 16, 1-73 (in Turkish). Comparative Analysis of Least-squares Approaches for 3D Datum Transformation in Western Turkey, Gullu et al. 1028 Aydin, C., 2016. How to solve errors-in-variables model for coordinate transformations in a classical adjustment way?. J Geod Geoinf, 3, 49-57 (in Turkish). Caglar, Y., 2005. National report of Turkey - 2005. Symposium of the IAG Subcommission for Europe (EUREF). Vienna. Austria. Fang, X., 2011. Weighted Total Least Squares Solutions for Applications in Geodesy. PhD dissertation. Leibniz University. Hannover. Germany. Fang, X., 2014. A total least squares solution for geodetic datum transformations. Acta Geod Geophys 49(2): 189-207.
  3. Felus, Y.A., 2004. Application of Total Least Squares for spatial point process analysis. J Surv Eng, 130, 126- 133. Felus, Y.A. and Schaffrin, B., 2005. Performing similarity transformations using the errors-in-variables-model. ASPRS 2005 Annual Conference, “Geospatial Goes Global: From Your Neighborhood to the Whole Planet”, March 7-11, 2005,
  4. Baltimore, Maryland. GCM, General Command of Mapping (2014) Turkish National Fundamental GPS Network. Ghilani, C.D. and Wolf, P.R., 2006. Adjustment Computations: Spatial Data Analysis, 4th edn. Wiley, Hoboken. Golub, G.H. and Van Loan C.F., 1980. An analysis of the Total Least Squares problem. SIAM J Numer Anal, 17, 883-893.
  5. Gullu, M., Yilmaz, I., Erdogan, O.A., 2003. Geodetic Network Design. Afyon Kocatepe University Publications, Afyonkarahisar, (in Turkish). Gullu, M., 2016. Soft computing model in geodetic coordinate transformation. AKU J Sci Eng, 16, 655- 659, (in Turkish). Jazaeri, S., Amiri-Simkooei, A.R., Sharifi, M.A., 2013. Iterative algorithm for weighted total least squares adjustment. Surv Rev, 46, 19-27.
  6. Lan, D., Hanwei, Z., Quingyong, Z., Ruopu, W., 2012. Correlation of coordinate transformation parameters. Geod Geodyn, 3, 34-38.
  7. Li, B., Shen, Y., Zhang, X., Li, C., Lou, L., 2013. Seamless multivariate affine error-in-variables transformation and its application to map rectification. Int J Geogr Inf Sci, 27, 1572-1592.
  8. Markovsky, I. and