KRIGING OF REGIONALIZED DIRECTIONS, AXES, AND ORIENTATIONS I. DIRECTIONS AND AXES
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dc.contributor.author | van den Boogaart K.G. | |
dc.contributor.author | Schaeben H. | |
dc.date.accessioned | 2021-04-19T23:58:31Z | |
dc.date.available | 2021-04-19T23:58:31Z | |
dc.date.issued | 2002 | |
dc.identifier | https://www.elibrary.ru/item.asp?id=1175741 | |
dc.identifier.citation | Mathematical Geology, 2002, 34, 5, 479-503 | |
dc.identifier.issn | 0882-8121 | |
dc.identifier.uri | https://repository.geologyscience.ru/handle/123456789/28118 | |
dc.description.abstract | The problem to predict a direction, axis, or orientation (rotation) from corresponding geocoded data is discussed and a general solution by virtue of embedding a sphere/hemisphere in a real vector space is presented. Its explicit justification in terms of mathematical assumptions concerning stationarity/homogeneity and isotropy is included. The data are modelled by a stationary random field, and the spatial correlation is represented by modified multivariate variograms and covariance functions. Various types of isotropy assumptions concerning invariance under translation/rotation of the data locations, the measurements, or a combination of both, can be distinguished and lead to different simplifications of the general cross-covariance function. Beyond spatial prediction a measure of confidence in the estimates is provided. | |
dc.subject | GEOSTATISTIC | |
dc.subject | MANIFOLDS | |
dc.subject | ISOTROPY | |
dc.subject | ASSUMPTIONS | |
dc.title | KRIGING OF REGIONALIZED DIRECTIONS, AXES, AND ORIENTATIONS I. DIRECTIONS AND AXES | |
dc.type | Статья |
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