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Geodesy and Cartography

The Journal of Committee on Geodesy of Polish Academy of Sciences

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Planes coordinates transformation between PSAD56 to SIRGAS using a Multilayer Artificial Neural Network

Alfonso Tierra
  • Universidad de las Fuerzas Armadas-ESPE Grupo de Investigación GITE Av. Gral Rumiñahui s/n. Sangolquí, Ecuador. P.O.Box 171-5-31B
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/ Ricardo Romero
  • Universidad de las Fuerzas Armadas-ESPE Grupo de Investigación GITE Av. Gral Rumiñahui s/n. Sangolquí, Ecuador. P.O.Box 171-5-31B
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Published Online: 2014-12-17 | DOI: https://doi.org/10.2478/geocart-2014-0014


Prior any satellite technology developments, the geodetic networks of a country were realized from a topocentric datum, and hence the respective cartography was performed. With availability of Global Navigation Satellite Systems-GNSS, cartography needs to be updated and referenced to a geocentric datum to be compatible with this technology. Cartography in Ecuador has been performed using the PSAD56 (Provisional South American Datum 1956) systems, nevertheless it’s necessary to have inside the system SIRGAS (SIstema de Referencia Geocéntrico para las AmericaS). This transformation between PSAD56 to SIRGAS use seven transformation parameters calculated with the method Helmert. These parameters, in case of Ecuador are compatible for scales of 1:25 000 or less, that does not satisfy the requirements on applications for major scales. In this study, the technique of neural networks is demonstrated as an alternative for improving the processing of UTM planes coordinates E, N (East, North) from PSAD56 to SIRGAS. Therefore, from the coordinates E, N, of the two systems, four transformation parameters were calculated (two of translation, one of rotation, and one scale difference) using the technique bidimensional transformation. Additionally, the same coordinates were used to training Multilayer Artificial Neural Network -MANN, in which the inputs are the coordinates E, N in PSAD56 and output are the coordinates E, N in SIRGAS. Both the two-dimensional transformation and ANN were used as control points to determine the differences between the mentioned methods. The results imply that, the coordinates transformation obtained with the artificial neural network multilayer trained have been improving the results that the bidimensional transformation, and compatible to scales 1:5000.


Dostęp do nowoczesnych technologii, w tym GNSS umożliwiły dokładniejsze zdefi niowanie systemów odniesień przestrzennych wykorzystywanych m.in. w defi niowaniu krajowych układów odniesień i układów współrzędnych. W Ekwadorze wykorzystywany jest system PSAD56 (Provisional South American Datum 1956), ale w ostatnim czasie zaszła konieczność zdefi niowania wewnętrznego(krajowego) systemu SIRGAS (SIstema de Referencia Geocéntrico para las AmericaS). Do transformacji pomiędzy oboma systemami powszechnie wykorzystuje się metodę Helmerta, stosując układ siedmioparametrowy. Transformacja taka pozwala na zachowanie dokładności wystarczającej do opracowania map topografi cznych w skalach 1:25 000 lub mniejszych. W artykule do transformacji zastosowano sieci neuronowe, co umożliwiło podniesienie dokładności do skali 1:5 000

Keywords : PSAD56; SIRGAS; Bidimensional transformations; Artificial Neural Network


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About the article

Received: 2014-04-15

Accepted: 2014-09-10

Published Online: 2014-12-17

Published in Print: 2014-12-01

Citation Information: Geodesy and Cartography, Volume 63, Issue 2, Pages 199–209, ISSN (Online) 2300-2581, ISSN (Print) 2080-6736, DOI: https://doi.org/10.2478/geocart-2014-0014.

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© by Alfonso Tierra. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. BY-NC-ND 3.0

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