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Interpolation of 2‐D vector data using constraints from elasticity
Author(s) -
Sandwell David T.,
Wessel Paul
Publication year - 2016
Publication title -
geophysical research letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.007
H-Index - 273
eISSN - 1944-8007
pISSN - 0094-8276
DOI - 10.1002/2016gl070340
Subject(s) - interpolation (computer graphics) , smoothing , eigenvalues and eigenvectors , elasticity (physics) , coupling (piping) , matlab , mathematics , matrix (chemical analysis) , computer science , mathematical analysis , mathematical optimization , algorithm , physics , artificial intelligence , engineering , computer vision , materials science , motion (physics) , mechanical engineering , quantum mechanics , thermodynamics , operating system , composite material
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®.