Interpolation of 2‐D vector data using constraints from elasticity. Issue 20 (28th October 2016)

• Record Type: Journal Article
• Authors: Sandwell, David T.; Wessel, Paul
• Is Part Of: Geophysical research letters. Volume 43:Issue 20(2016)
• Page Start: 10, 703
• Page End: 10, 709
• Publication Date: 2016-10-28
• Subjects: vector interpolation -- GPS velocities; Geophysics -- Periodicals; Planets -- Periodicals; Lunar geology -- Periodicals; 550
• DOI: 10.1002/2016GL070340
• Languages: English
• ISSNs: 0094-8276

Abstract

Abstract: 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®. Key Points: Interpolation of vector data GPS gridding Green's functions for thin elastic sheet