A comparison of two well known models for 7-parameter transformation

The transformation between two geocentric coordinate systems is carried out by the seven-parameter similarity transformation comprising three translations, three rotations and one scale difference. A number of approaches are available to realise this. Nevertheless, the Bursa-Wolf and Molodensky-Badekas models are generally favored for their simplicity. Except for their translations and their rms values both models yield similar results. Choosing a model producing more realistic translations is, of course, of paramount interest to surveyors. In this study, investigation of the cause of differences between translations of both models and which of these models produces more precise results is taken into consideration. The outcome of this investigation showed that the mathematical model of the Bursa-Wolf as opposed to the Molodensky-Badekas causes high correlations between transformation parameters, so Molodensky-Badekas model determines the translations better than the former.

Yazar Kutoglu H.S.
Mekik C.
Akcin H.
Yayın Türü Article
Tek Biçim Adres https://hdl.handle.net/20.500.12628/3911
Tek Biçim Adres 10.1080/00050356.2002.10558839
Koleksiyonlar Araştırma Çıktıları | WoS | Scopus | TR-Dizin | PubMed | SOBİAD
Scopus İndeksli Yayınlar Koleksiyonu
Dergi Adı Australian Surveyor
Dergi Cilt Bilgisi 47
Dergi Sayısı 1
Sayfalar 24 - 30
Yayın Yılı 2002
Eser Adı
[dc.title]
A comparison of two well known models for 7-parameter transformation
Yazar
[dc.contributor.author]
Kutoglu H.S.
Yazar
[dc.contributor.author]
Mekik C.
Yazar
[dc.contributor.author]
Akcin H.
Yayın Yılı
[dc.date.issued]
2002
Yayıncı
[dc.publisher]
Institution of Surveyors Australia Inc.
Yayın Türü
[dc.type]
article
Özet
[dc.description.abstract]
The transformation between two geocentric coordinate systems is carried out by the seven-parameter similarity transformation comprising three translations, three rotations and one scale difference. A number of approaches are available to realise this. Nevertheless, the Bursa-Wolf and Molodensky-Badekas models are generally favored for their simplicity. Except for their translations and their rms values both models yield similar results. Choosing a model producing more realistic translations is, of course, of paramount interest to surveyors. In this study, investigation of the cause of differences between translations of both models and which of these models produces more precise results is taken into consideration. The outcome of this investigation showed that the mathematical model of the Bursa-Wolf as opposed to the Molodensky-Badekas causes high correlations between transformation parameters, so Molodensky-Badekas model determines the translations better than the former.
Kayıt Giriş Tarihi
[dc.date.accessioned]
2019-12-23
Açık Erişim Tarihi
[dc.date.available]
2019-12-23
Yayın Dili
[dc.language.iso]
eng
Haklar
[dc.rights]
info:eu-repo/semantics/closedAccess
ISSN
[dc.identifier.issn]
0005-0326
İlk Sayfa Sayısı
[dc.identifier.startpage]
24
Son Sayfa Sayısı
[dc.identifier.endpage]
30
Dergi Adı
[dc.relation.journal]
Australian Surveyor
Dergi Sayısı
[dc.identifier.issue]
1
Dergi Cilt Bilgisi
[dc.identifier.volume]
47
Tek Biçim Adres
[dc.identifier.uri]
https://dx.doi.org/10.1080/00050356.2002.10558839
Tek Biçim Adres
[dc.identifier.uri]
https://hdl.handle.net/20.500.12628/3911
Görüntülenme Sayısı ( Şehir )
Görüntülenme Sayısı ( Ülke )
Görüntülenme Sayısı ( Zaman Dağılımı )
Görüntülenme
12
09.12.2022 tarihinden bu yana
İndirme
1
09.12.2022 tarihinden bu yana
Son Erişim Tarihi
04 Şubat 2024 22:18
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translations models between transformation Molodensky-Badekas Bursa-Wolf investigation results showed parameters paramount former interest surveyors better determines differences correlations outcome causes opposed produces precise mathematical course consideration values realistic difference geocentric coordinate systems carried seven-parameter similarity
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