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Displaying IFS attractor based on fixed point

This paper first introduces iterated function system (IFS) theory briefly, and points out the defects of random algorithm for computing IFS attractor. With the property of similarity between different regions of IFS attractor, this paper presents the principle and method of gradually displaying IFS attractor from one fixed point of an invertible affine transformation. Experimental results show that this method is effective and resolves some problems of random algorithm.