Shoreline Extraction from Coastal Images Using Chebyshev Polynomials and RBF Neural Networks

In this study, we use a specialized coastal monitoring system for the test case of Faro beach (Portugal), and generate a database consisted of variance coastal images. The images are elaborated in terms of an empirical image thresholding procedure and the Chebyshev polynomials. The resulting polynomial coefficients constitute the input data, while the resulting thresholds the output data. We, then, use the above data set to train a radial basis function network structure with the aid of input-output fuzzy clustering and a steepest descent approach. The implementation of the RBF network leads to an effective detection and extraction of the shoreline of the beach under consideration.

[1]  T. J. Rivlin The Chebyshev polynomials , 1974 .

[2]  Ian L Turner,et al.  The Performance of Shoreline Detection Models Applied to Video Imagery , 2007 .

[3]  N. Otsu A threshold selection method from gray level histograms , 1979 .

[4]  Witold Pedrycz,et al.  A granular-oriented development of functional radial basis function neural networks , 2008, Neurocomputing.

[5]  Seok-Beom Roh,et al.  The design methodology of radial basis function neural networks based on fuzzy K-nearest neighbors approach , 2010, Fuzzy Sets Syst..

[6]  Witold Pedrycz,et al.  Conditional fuzzy clustering in the design of radial basis function neural networks , 1998, IEEE Trans. Neural Networks.

[7]  Luis Pedro Almeida,et al.  Coastal vulnerability assessment based on video wave run-up observations at a mesotidal, steep-sloped beach , 2011, Ocean Dynamics.

[8]  Nathaniel G. Plant,et al.  Intertidal beach slope predictions compared to field data , 2001 .

[9]  K. Wijnberg,et al.  Automated mapping of the intertidal beach bathymetry from video images , 2010 .

[10]  R. Holman,et al.  The history and technical capabilities of Argus , 2007 .

[11]  B. Ruessink,et al.  The use of video imagery to analyse groundwater and shoreline dynamics on a dissipative beach , 2011 .

[12]  M. Vousdoukas,et al.  Performance of intertidal topography video monitoring of a meso-tidal reflective beach in South Portugal , 2011 .

[13]  Nathaniel S. Pearre,et al.  Quantifying Seasonal Shoreline Variability at Rehoboth Beach, Delaware, Using Automated Imaging Techniques , 2009 .

[14]  Meng Joo Er,et al.  High-speed face recognition based on discrete cosine transform and RBF neural networks , 2005, IEEE Transactions on Neural Networks.

[15]  Leandro dos Santos Coelho,et al.  A comparison between three short-term shoreline prediction models , 2012 .

[16]  L. Armijo Minimization of functions having Lipschitz continuous first partial derivatives. , 1966 .

[17]  Nelson F. F. Ebecken,et al.  Visual RBF network design based on Star Coordinates , 2009, Adv. Eng. Softw..