Evaluation of methods for estimating fractal properties of intensity images

نویسندگان

  • Stefan Jansson
  • Fredrik Georgsson
چکیده

We have evaluated nine different methods for estimating the fractal dimension of intensity images based on their accuracy, spread and robustness to noise. For this purpose we have generated some 6000 digital images with varying size and known fractal properties. To observe the influence of noise we have distorted these images with Poisson noise, Gaussian noise of different strength and point spreading. When comparing the performance of these fractal dimension estimators we conclude that the image size and the true underlying fractal dimension influences the accuracy, spread and the impact of noise. A subset of these methods are also evaluated based on their ability to segment image areas having different fractal properties. The two estimators which have the average highest performance are the Variation and Probability estimators.

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تاریخ انتشار 2006