Self-Similar Models and How to Find Them: A Moment Theory Approach
Self-similar modelling aims to capture how an object relates to itself, and can be done through fractal geometry. Creating a fractal that looks like a natural object is easy, nd- ing a fractal that models a given self-similar object is hard. The only known success of this inverse problem comes from fractal image compression (FIC). In this thesis we develop an alternative solution to the problem. Explicitly, we formulate a fractal moment approx- imation theory that provides more exibility in...[Show more]
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