Abstract:Abstract. Traditional fractal image coding seeks to approximate an image function u as a union of spatially-contracted and greyscale-modified copies of itself, i.e., u ≈ T u, where T is a contractive fractal transform operator on an appropriate space of functions. Consequently u is well approximated byū, the unique fixed point of T , which can then be constructed by the discrete iteration procedure un+1 = Tn. In a previous work, we showed that the evolution equation yt = Oy − y produces a continuous evolution … Show more
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