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Chaotic gray-level image transformation

[+] Author Affiliations
Fethi Belkhouche

Tulane University, Electrical Engineering and Computer Science Department, 211 Stanley Thomas Hall, New Orleans, Louisiana 70118

Ibrahim Gokcen

General Electric Global Research Center, Niskayuna, New York

U. Qidwai

Tulane University, Electrical Engineering and Computer Science Department, 211 Stanley Thomas Hall, New Orleans, Louisiana 70118

J. Electron. Imaging. 14(4), 043001 (November 08, 2005). doi:10.1117/1.2135792
History: Received February 18, 2004; Accepted May 09, 2005; Published November 08, 2005; Online November 08, 2005
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We deal with the applications of a class of nonlinear dynamic systems to image transformation and encoding whereby the nonlinear system presents a chaotic or hyperchaotic attractor. Several ways are possible to encode or transform the image using chaos. We develop algorithms for image encoding based on the permutation of the pixel value, position, or both. This approach enables the fast decorrelation of relations among pixels in the initial image in a random-like fashion. We illustrate the use of 1-D, 2-D, and 3-D maps for this purpose. We also use chaotic dynamical systems with a single or two outputs. A discussion of the sensitivity of the algorithms to the keys is followed by the illustration of the algorithms using example images.

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© 2005 SPIE and IS&T

Citation

Fethi Belkhouche ; Ibrahim Gokcen and U. Qidwai
"Chaotic gray-level image transformation", J. Electron. Imaging. 14(4), 043001 (November 08, 2005). ; http://dx.doi.org/10.1117/1.2135792


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