A New Approach to Pattern Recognition in Fractal Ferns

Abstract

In chaos game, one is randomly chosen and applied to create a new point. Repeatedly, a random rule is selected repeatedly to produce an attractor. Barnsley (2006) used chaos game in function systems, giving rise to interesting fractals by combining it with function iterations. A fractal fern is generated by taking different probabilities in the chaos game. In this paper, the authors introduce two advanced iterations from nonlinear analysis into the study of IFS for generation and pattern recognition of new fractal ferns.