Fractal image compression is achieved by Fractal transformation of images. To complete a fractal transformation, one has to solve a Fractal equation. In this paper, we will develop an algorithm for solving Fractal equations of black and white images. We will first briefly derive several types of Fractal equations. Then we will present an algorithm for solving Fractal equations. We will discuss images with more than two pixel intensities in the second part of this paper.
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