KRIGING OF REGIONALIZED DIRECTIONS, AXES, AND ORIENTATIONS I. DIRECTIONS AND AXES

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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