A gridding method commonly called minimum curvature is widely used in the earth sciences. The method interpolates the data to be gridded with a surface having continuous second derivatives and minimal total squared curvature. Minimum-curvature surfaces may have large oscillations and extraneous inflection points which make them unsuitable for gridding. These extraneous inflection points can be eliminated by adding tension to the elastic-plate flexure equation. Solutions under tension require no more computational effort than minimum-curvature solutions, and any algorithm which can solve the minimum-curvature equations can solve the more general system. Common geologic examples are given where minimum-curvature gridding produces erroneous results but gridding with tension yields a good solution. Improvements to the convergence of an iterative method of solution for the gridding equations are suggested. -from Author
CITATION STYLE
Uieda, L. (2018). Verde: Processing and gridding spatial data using Green’s functions. Journal of Open Source Software, 3(30), 957. https://doi.org/10.21105/joss.00957
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