Interpolation of 2-D vector data using constraints from elasticity

TitleInterpolation of 2-D vector data using constraints from elasticity
Publication TypeJournal Article
Year of Publication2016
AuthorsSandwell DT, Wessel P.
JournalGeophysical Research Letters
Date Published2016/10
Type of ArticleArticle
ISBN Number0094-8276
Accession NumberWOS:000388293800030
Keywordscurvature; deformation; GPS; GPS velocities; InSAR; san-andreas fault; splines; system; tension; vector interpolation

We present a method for interpolation of sparse two-dimensional vector data. The method is based on the Green's functions of an elastic body subjected to in-plane forces. This approach ensures elastic coupling between the two components of the interpolation. Users may adjust the coupling by varying Poisson's ratio. Smoothing can be achieved by ignoring the smallest eigenvalues in the matrix solution for the strengths of the unknown body forces. We demonstrate the method using irregularly distributed GPS velocities from southern California. Our technique has been implemented in both the Generic Mapping Tools and MATLAB (R).

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