Abstract
Fractal image reconstruction through iterated function systems (IFS) is a very hot topic of research. Yet, existing methods have focused exclusively on binary or gray level images, and the case of colored images has been largely ignored so far. This paper aims to tackle this issue for colored fractal images by coupling a swarm intelligence method called cuckoo search algorithm and k-means clustering. To show the performance of the method, an illustrative example is discussed in detail. The numerical and graphical results show that the method is effective and very promising, as it is able to recover both the geometry and color of the input fractal image, but it still yields sub-optimal solutions to this problem and should be further improved.
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