A SURVEY ON WAVELET NETWORK, MULTI LIBRARY WAVELET NETWORK TRAINING, 1D-2D FUNCTION APPROXIMATION AND A NEW IMAGE COMPRESSION METHOD

Authors

  • Wajdi Bellil
  • Chokri Ben Amar
  • Adel M. Alimi

DOI:

https://doi.org/10.47839/ijc.8.1.659

Keywords:

Wavelet Neural Network, Multi Library Wavelet Neural Network, Image compression and coding, Beta wavelets.

Abstract

This paper presents an original architecture of Wavelet Neural Network (WNN) based on multi Wavelets activation function and uses a selection method to determine a set of best wavelets whose centers and dilation parameters are used as initial values for subsequent training library WNN for color image compression and coding which consists to transform an RGB image into Luminance-Chrominance space and then segment the luminance in a set of m blocks n by n pixels. These blocks should be transferred row by row (1D input vector) to the input of our wavelet network. Every input vector will be considered as unknown functional mapping and then it will be approximated by the network.

References

S. Mallat, A wavelet tour of signal processing. academic press 1998.

Q. Zang, Wavelet Network in Nonparametric Estimation. IEEE Trans. Neural Networks, 1997. 8(2):227-236.

Q. Zang et al., Wavelet networks. IEEE Trans. Neural Networks, vol. 3, 1992. p. 889-898.

H. Bourlard, Y. Kamp, Autoassociation by multilayer perceptrons and singular values decomposition, Biol. Cybernet. 1988. 291-294.

A. Averbuch, D. Lazar, Image compression using wavelet transform and multiresolution decomposition, IEEE Trans. Image Process. 1996. p. 4-15.

Hamdy S. Soliman, Mohammed Omari, A neural networks approach to image data compression, Applied Soft Computing, 2006. p. 258–271.

G. Candotti, S. Carrato et al., Pyramidal multiresolution source coding for progressive sequences, IEEE Trans. Consumer Electronics, 1994. p. 789-795.

S. Carrato, Neural networks for image compression, Neural Networks: Adv. and Appl. 2 ed., Gelenbe Pub, North-Holland, Amsterdam, 1992. p. 177-198.

O.T.C. Chen et al., Image compression using self-organisation networks, IEEE Trans. Circuits Systems For Video Technol. 1994. p. 480-489.

Slaven Marusic, Guang Deng, Adaptive prediction for lossless image compression, Signal Processing: Image Communication. 2002. p. 363–372.

N.A. Laskaris, S. Fotopoulos, A novel training scheme for neural-network based vector quantizers and its application in image compression, Neurocomputing 2004. p.421-427.

C. Foucher and G. Vaucher, Compression d’images et reseaux de neurones, revue Valgo n°01-02, Ardeche, 2001.

Q. Zhang, Using Wavelet Network in Nonparametric Estimation, IEEE Trans. Neural Network, Vol. 8, 1997. p. 227-236.

C. Aouiti, M.A Alimi, and A. Maalej, Genetic Designed Beta Basis Function Neural Networks for Multivariable Functions Approximation, Systems Analysis, Modeling, and Simulation, Special Issue on Advances in Control and Computer Engineering, vol. 42, no. 7, 2002. p. 975-1005.

C. Ben Amar, W. Bellil and A. Alimi. Beta Function and its Derivatives: A New Wavelet Family. Transactions on Systems, Signals & Devices Volume 1, Number 3, 2005-2006. p. 275-293.

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Published

2014-08-01

How to Cite

Bellil, W., Ben Amar, C., & Alimi, A. M. (2014). A SURVEY ON WAVELET NETWORK, MULTI LIBRARY WAVELET NETWORK TRAINING, 1D-2D FUNCTION APPROXIMATION AND A NEW IMAGE COMPRESSION METHOD. International Journal of Computing, 8(1), 79-86. https://doi.org/10.47839/ijc.8.1.659

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Articles