Extension of the ABC-Procrustes algorithm for 3D affine coordinate transformation
dc.contributor.author | Palancz, B. | |
dc.contributor.author | Zaletnyik, P. | |
dc.contributor.author | Awange, Joseph | |
dc.contributor.author | Heck, B. | |
dc.date.accessioned | 2017-01-30T12:16:53Z | |
dc.date.available | 2017-01-30T12:16:53Z | |
dc.date.created | 2011-03-17T20:01:37Z | |
dc.date.issued | 2010 | |
dc.identifier.citation | Palancz, B. and Zaletnyik, P. and Awange, J.L. and Heck, B. 2010. Extension of the ABC-Procrustes algorithm for 3D affine coordinate transformation. Earth Planets and Space. 62 (11): pp. 857-862. | |
dc.identifier.uri | http://hdl.handle.net/20.500.11937/20008 | |
dc.identifier.doi | 10.5047/eps.2010.10.004 | |
dc.description.abstract |
The Procrustes method is a very effective method for determining the Helmert's datum transformation parameters since it requires neither initial starting values nor iteration. Due to these attractive attributes, the ABC-Procrustes algorithm is extended to solve the 3D affine transformation problem where scale factors are different in the 3 principal directions X,Y,Z. In this study, it is shown that such a direct extension is restricted to cases of mild anisotropy in scaling. For strong anisotropy, however, the procedure fails. The PZ-method is proposed as an extension of the ABC algorithm for this special case. The procedures are applied to determine transformation parameters for; (i) transforming the Australian Geodetic Datum (AGD 84) to the Geocentric Datum Australia (GDA 94), i.e., mild anisotropy and (ii) synthetic data for strong anisotropy. The results indicate that the PZ-algorithm leads to a local multivariate minimization as opposed to the ABC-algorithm, thus requiring slightly longer computational time. However, the ABC-method is found to be useful for computing proper initial values for the PZ-method, thereby increasing its efficiency. | |
dc.publisher | The Society of Geomagnetism and Earth, Planetary and Space Sciences (published by Terra Scientific Publishing Company) | |
dc.subject | singular value decomposition | |
dc.subject | anisotropy scaling | |
dc.subject | coordinate transformation | |
dc.subject | global minimization | |
dc.subject | Procrustes | |
dc.subject | Helmert transformation | |
dc.title | Extension of the ABC-Procrustes algorithm for 3D affine coordinate transformation | |
dc.type | Journal Article | |
dcterms.source.volume | 62 | |
dcterms.source.startPage | 857 | |
dcterms.source.endPage | 862 | |
dcterms.source.issn | 13438832 | |
dcterms.source.title | Earth Planets Space | |
curtin.department | Department of Spatial Sciences | |
curtin.accessStatus | Open access via publisher |