Fractals everywhere
The Science of Fractal Images
Fractal image compression: theory and application
Fractal image compression: theory and application
Fractal Imaging
Hiding digital watermarks using fractal compression technique
Fundamenta Informaticae
SuperFractals
Iterated Function Systems for Real-Time Image Synthesis
Iterated Function Systems for Real-Time Image Synthesis
Measure-Valued Images, Associated Fractal Transforms, and the Affine Self-Similarity of Images
SIAM Journal on Imaging Sciences
Fractal-Based Description of Natural Scenes
IEEE Transactions on Pattern Analysis and Machine Intelligence
Image coding based on a fractal theory of iterated contractive image transformations
IEEE Transactions on Image Processing
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We generalize the mathematics of fractal transformations and illustrate how it leads to a new approach to the representation and processing of digital images, and consequent novel methods for filtering, watermarking, and encryption. This work substantially generalizes earlier work on fractal tops. The approach involves fractal geometry, chaotic dynamics, and an interplay between discrete and continuous representations. The underlying mathematics is established and some applications to digital imaging are described and exemplified.