Vector distance direction information for spatio-temporal Kriging

CHEN Dingxin; LU Wenkai; LIU Daizhi

doi:10.16511/j.cnki.qhdxxb.2016.25.015

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Journal of Tsinghua University(Science and Technology) ›› 2016, Vol. 56 ›› Issue (5) : 553-557. DOI: 10.16511/j.cnki.qhdxxb.2016.25.015

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Vector distance direction information for spatio-temporal Kriging

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Abstract

The spatio-temporal Kriging method can be significantly improved by extending the variogram definition to the space-time domain. The key step in constructing the spatio-temporal variogram is to calculate the vector distances between the time slices and the space slices. This study analyzes the influence of the vector distance on the spatio-temporal variogram construction and presents a vector distance model that includes both the magnitude and the direction information. The algorithm was evaluated using magnetic field data with the evaluations based on the L1 norm and the L2 norm. The results show that the model with the additional direction information in the vector distance, more effectively represented the data characteristics which improved the spatio-temporal Kriging interpolation accuracy.

Key words

geomagnetic field / spatio-temporal Kriging / variogram / vector direction

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CHEN Dingxin, LU Wenkai, LIU Daizhi. Vector distance direction information for spatio-temporal Kriging[J]. Journal of Tsinghua University(Science and Technology). 2016, 56(5): 553-557 https://doi.org/10.16511/j.cnki.qhdxxb.2016.25.015

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