Modelling boundary shear stress distribution in open channels using a face recognition technique

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Abstract

This paper describes a novel application of a pattern recognition technique for predicting boundary shear stress distribution in open channels. In this approach, a synthetic database of images representing normalized shear stress distributions is formed from a training data set using recurrence plot analysis. The face recognition algorithm is then employed to synthesize the recurrence plots and transform the original database into short-dimension vectors containing similarity weights proportional to the principal components of the distribution of images. These vectors capture the intrinsic properties of the boundary shear stress distribution of the cases in the training set, and are sensitive to variations of the corresponding hydraulic parameters. The process of transforming one-dimensional data series into vectors of weights is invertible, and therefore, shear stress distributions for unseen cases can be predicted. The developed method is applied to predict boundary shear stress distributions in smooth trapezoidal and circular channels. The results show a cross correlation coefficient above 92%, mean square errors within 0.04% and 4.48%, and average shear stress fluctuations within 2% and 5%, thus, indicating that the proposed method is capable of providing accurate estimations of the boundary shear stress distribution in open channels.
Original languageEnglish
Pages (from-to)157-172
Number of pages16
JournalJournal of Hydroinformatics
Volume19
Issue number2
Early online date1 Dec 2016
DOIs
Publication statusPublished - 1 Mar 2017

Bibliographical note

The paper presents a numerical method for the prediction of shear stress distributions in open channels based on image recognition techniques. The modelling approach merges an algorithm for the recognition of human faces that was developed in the field of neuroscience, with a technique to transform one-dimensional data series into two-dimensional images. This enables to identify intrinsic features of the data which otherwise would not be possible to appreciate in its original state. The model in its current state can be used to tackle a wider range of engineering problems which enhances its potential impact as is adopted by scientists.

Keywords

  • boundary shear stress
  • data modelling
  • face recognition
  • recurrence plot anaysis
  • open channel

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