Neighborhood discontinuities in bivariate interpolation of scattered observations |
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| Authors: | G M Philip and D F Watson |
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| Institution: | (1) Department of Geology and Geophysics, University of Sydney, 2006, N.S.W., Australia |
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| Abstract: | Because of the need for computational efficiency, bivariate interpolation methods applied to scattered observations often involve two stages. Initially the variable is estimated at regular grid nodes using a running subset of data (usually of fixed number). This, however, will produce discontinuities in the interpolated surface. Thus a second stage, curvilinear interpolation technique, is applied to estimated values to smooth out the effect of discontinuities. Such problems can be overcome efficiently in processing large data sets by interpolating over natural neighbor subsets. Interpolation procedures that generate discontinuities in the interpolated surface are inappropriate for geological applications, where dislocations due to structural complications may be present. |
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| Keywords: | bivariate interpolation natural neighbor sorting local coordinates spline interpolation |
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