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home > reports > crwr online report 2004-01

 

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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