Fractal-based methods in imaging

Demers, Matthew
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University of Guelph

With the age of computing, fractal imaging has become a well-developed research area. A wide variety of applications are explored in this thesis. We discuss a novel method to colour fractal attractor sets. Since such sets can resemble real objects, the method has potential applicability in the computer graphics industry. We also consider the application of these ideas to the area of image cryptography and information hiding. Switching focus to general digital images, we look at the theory and practice of fractal image compression. Our goal, however, is to extend the ideas used in compression to produce schemes for image denoising and image recovery. Some encouraging results for such applications are presented.

fractal imaging, colour, fractal attractor sets, image cryptography, information hiding, fractal image compression, compression, image denoising, image recovery