Journal ArticleDOI
Image coding based on a fractal theory of iterated contractive image transformations
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TLDR
The author proposes an independent and novel approach to image coding, based on a fractal theory of iterated transformations, that relies on the assumption that image redundancy can be efficiently exploited through self-transformability on a block-wise basis and approximates an original image by a Fractal image.Abstract:
The author proposes an independent and novel approach to image coding, based on a fractal theory of iterated transformations. The main characteristics of this approach are that (i) it relies on the assumption that image redundancy can be efficiently exploited through self-transformability on a block-wise basis, and (ii) it approximates an original image by a fractal image. The author refers to the approach as fractal block coding. The coding-decoding system is based on the construction, for an original image to encode, of a specific image transformation-a fractal code-which, when iterated on any initial image, produces a sequence of images that converges to a fractal approximation of the original. It is shown how to design such a system for the coding of monochrome digital images at rates in the range of 0.5-1.0 b/pixel. The fractal block coder has performance comparable to state-of-the-art vector quantizers. >read more
Citations
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References
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Book
Fractals Everywhere
TL;DR: Focusing on how fractal geometry can be used to model real objects in the physical world, this up-to-date edition featurestwo 16-page full-color inserts, problems and tools emphasizing fractal applications, and an answers section.
Journal Article
Vector quantization
TL;DR: During the past few years several design algorithms have been developed for a variety of vector quantizers and the performance of these codes has been studied for speech waveforms, speech linear predictive parameter vectors, images, and several simulated random processes.
Journal ArticleDOI
Image coding using vector quantization: a review
Nasser M. Nasrabadi,R.A. King +1 more
TL;DR: First, the concept of vector quantization is introduced, then its application to digital images is explained, and the emphasis is on the usefulness of the vector quantification when it is combined with conventional image coding techniques, orWhen it is used in different domains.
Journal ArticleDOI
Iterated function systems and the global construction of fractals
TL;DR: In this paper, a general framework for the exactly computable moment theory of p -balanced measures for hyperbolic i.f.ss and of probabilistic mixtures of iterated Riemann surfaces is presented.
Journal ArticleDOI
Image data compression: A review
TL;DR: A large variety of algorithms for image data compression are considered, starting with simple techniques of sampling and pulse code modulation (PCM) and state of the art algorithms for two-dimensional data transmission are reviewed.