文章基本信息

标题：DETERMINADOS COM FUNÇÕES COVARIÂNCIAS PLANAS E ESFÉRICAS (Estudo de Caso: Estado de São Paulo e adjacências)
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作者：SÉRGIO FLORÊNCIO DE SOUZA ; NELSI CÔGO DE SÁ
期刊名称：Boletim de Ciências Geodésicas
印刷版ISSN：1982-2170
出版年度：2008
卷号：14
期号：3
语种：Portuguese
出版社：Universidade Federal do Paraná-UFPR
摘要：The least squares collocation is a mathematical technique which is used in Geodesy for representation of the Earth’s anomalous gravity field from heterogeneous data in type and precision. The use of this technique in the representation of the gravity field requires the statistical characteristics of data through covariance function. The covariances reflect the behavior of the gravity field, in magnitude and roughness. From the statistical point of view, the covariance function represents the statistical dependence among quantities of the gravity field at distinct points or, in other words, shows the tendency to have the same magnitude and the same sign. The determination of the covariance functions is necessary either to describe the behavior of the gravity field or to evaluate its functionals. This paper aims at presenting the results of a study on the plane and spherical covariance functions in determining gravimetric geoid models. Keywords : Gravimetric Geoid; Least Squares Collocation; Covariance Functions.
其他摘要：The least squares collocation is a mathematical technique which is used in Geodesy for representation of the Earth’s anomalous gravity field from heterogeneous data in type and precision. The use of this technique in the representation of the gravity field requires the statistical characteristics of data through covariance function. The covariances reflect the behavior of the gravity field, in magnitude and roughness. From the statistical point of view, the covariance function represents the statistical dependence among quantities of the gravity field at distinct points or, in other words, shows the tendency to have the same magnitude and the same sign. The determination of the covariance functions is necessary either to describe the behavior of the gravity field or to evaluate its functionals. This paper aims at presenting the results of a study on the plane and spherical covariance functions in determining gravimetric geoid models. Keywords: Gravimetric Geoid; Least Squares Collocation; Covariance Functions.