Modeling Images with Specified Fractal Characteristics
B. N. Grudin, V. S. Plotnikov, N. A. Smol'yaninov
Keywords: fractal images, generalized spatial frequency filtering, integral frequency characteristic of spectrum, invariance under multiplicative reduction in scale, orthogonal transformations, energy spectra, fractal measures
Pages: 13-21
Abstract
Algorithms for modeling images with fractal characteristics based on generalized spatial frequency filtering are proposed in which the phase or sign of the amplitude of the corresponding orthogonal transformation of the original image is retained and the modulus of the amplitude decreases exponentially for the entire generalized spectrum of the image or for the integral frequency characteristic of the spectrum. For the model images, fractal measures in a spatial region are proposed, which, similarly to the integral frequency characteristic, are invariant under multiplicative reduction in scale.
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