@article{(Open Science Index):https://publications.waset.org/pdf/3509,
	  title     = {Analytical Analysis of Image Representation by Their Discrete Wavelet Transform},
	  author    = {R. M. Farouk},
	  country	= {},
	  institution	= {},
	  abstract     = {In this paper, we present an analytical analysis of the
representation of images as the magnitudes of their transform with
the discrete wavelets. Such a representation plays as a model for
complex cells in the early stage of visual processing and of high
technical usefulness for image understanding, because it makes the
representation insensitive to small local shifts. We found that if the
signals are band limited and of zero mean, then reconstruction from
the magnitudes is unique up to the sign for almost all signals. We
also present an iterative reconstruction algorithm which yields very
good reconstruction up to the sign minor numerical errors in the very
low frequencies.},
	    journal   = {International Journal of Mathematical and Computational Sciences},
	  volume    = {2},
	  number    = {9},
	  year      = {2008},
	  pages     = {654 - 659},
	  ee        = {https://publications.waset.org/pdf/3509},
	  url   	= {https://publications.waset.org/vol/21},
	  bibsource = {https://publications.waset.org/},
	  issn  	= {eISSN: 1307-6892},
	  publisher = {World Academy of Science, Engineering and Technology},
	  index 	= {Open Science Index 21, 2008},
	}