منابع مشابه
Theory of Generalized Fractal Transforms
The most popular \fractal-based" algorithms for both the representation as well as compression of computer images have involved some implementation of the method of Iterated Function Systems (IFS) on complete metric spaces, e.g. IFS with probabilities (IFSP), Iterated Fuzzy Set Systems (IFZS), Fractal Transforms (FT), the Bath Fractal Transform (BFT) and IFS with grey-level maps (IFSM). (FT and...
متن کاملFractal Transforms and Feature Invariance
In this paper, fractal transforms are employed with the aim of image recognition. It is known that such transforms are highly sensitive to distortions like a small shift of an image. However, by using features based on statistics kept during the actual decomposition we can derive features from fractal transforms which are invariant to perturbations like rotation, translation, folding or contras...
متن کاملOn the convergence of fractal transforms
This paper reports on investigations concerning the convergence of fractal transforms for signal modelling. Convergence is essential for the functionality of fractal based coding schemes. The coding process is described as non-linear transformation in the finite-dimensional vector space. Using spectral theory, a necessary and sufficient condition for the contractivity is derived from the eigenv...
متن کاملContractivity of fractal transforms for image coding
Indexing terms: Coding, Image processing, Fractal transforms In this letter the contractivity of existing fractal transforms for use in image compression schemes is examined. The coding process is described as nonlinear transformation in the finite dimensional euclidean vector space. We derive sufficient conditions for contractivity based on the spectral norm and the spectral radius of the tran...
متن کاملImage Databases, Scale and Fractal Transforms
In contemporary image databases one finds many images with the same image content but perturbed by zooming, scaling, rotation etc. For the purpose of image recognition in such databases we employ features based on statistics stemming from fractal transforms of gray-scale images. We show how the features derived from these statistical aspects can be made invariant to zooming or rescaling. A feat...
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ژورنال
عنوان ژورنال: The Journal of the Acoustical Society of America
سال: 1995
ISSN: 0001-4966
DOI: 10.1121/1.413965