An Improved Anisotropic Scheme for Interpolating Scattered Bathymetric
Data Points in Sinuous River Channels
by Tim D. Osting
ABSTRACT
This paper presents an improved technique for applying three-dimensional
bathymetric (bed form) scatter point data of a sinuous, meandering,
low-gradient river to a three-dimensional Finite Element grid. A
standard inverse distance weighted interpolation scheme (Franke
and Nielson, 1980) is used to apply the bathymetric data to each
node (interpolant) of the triangular Finite Element mesh. A unique
search space algorithm is presented which geospatially limits scatter
point input data by utilizing the known anisotropic shape of a river
cross-section. Unlike widely distributed interpolation algorithms
(ESRI, 2001; SMS, 2002) generally used for interpolating scatter
data in similar situations, the new algorithm is capable of rotating
the anisotropy coincident with the natural, sinuous curves of the
river plan form. In tests using filtered field data, the new algorithm
accurately represents natural bathymetry and does so more reliably
in areas of sparse field data than the other tested interpolation
methods.
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