Multifractals in image processing and process imaging
Abstract
Image data may be analyzed for a range of scale levels by generalizing high resolution measurements into an image pyramid whose statistical description is used to estimate a fractal dimension Dt for each value t of the image histogram.This multifractal analysis is demonstrated for a satellite image of Reston, Virginia, which is compared to data simulated by Gaussian and random walk processes.The behavior of the multifractal dimension is used to characterize simulated and empirical data and to detect low-and high-dimension features in the image.
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