Rectilinear Inverse Distance Weighting Methodology for Bathymetric Cross-Section Interpolation along the Mississippi River
Publication: Journal of Hydrologic Engineering
Volume 22, Issue 7
Abstract
In frequently monitored fluvial systems, such as the middle Mississippi River, large databases of hundreds of cross-section surveys are often needed for assessment of long-term morphologic change and contributing hydraulic parameters. Developing customized interpolation schemes with optimized coefficients for each survey in such large databases is impractical. Using a database of 158 cross-section bathymetric surveys of the middle Mississippi River, automated surface generation of commonly available interpolation algorithms, [i.e., triangulated irregular networks (TIN), inverse distance weighting (IDW), spline with tension, and ordinary kriging] were evaluated and compared with an interpolation algorithm developed for this database, termed rectilinear IDW (RIDW). TIN and RIDW interpolation algorithms had the lowest root-mean square error (RMSE) among all methods evaluated, with the largest difference between them occurring along the perimeter of the interpolated surfaces. TIN interpolation resulted in sharp, geometric edges along the boundaries of the interpolated surfaces requiring postprocessing, whereas RIDW interpolation produced smoother edges that sometimes elongated scour holes.
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Acknowledgments
This study was funded by the Saint Louis University, Graduate Programs Presidential Fellowship. The authors acknowledge the assistance and collaborative efforts of Donald Duncan, Dave Gordon, John Vest and Edward Brauer, all of whom are employees of the U.S. Army Corps of Engineers.
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©2017 American Society of Civil Engineers.
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Received: Mar 28, 2016
Accepted: Dec 9, 2016
Published online: Mar 27, 2017
Published in print: Jul 1, 2017
Discussion open until: Aug 27, 2017
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