Fractal Batik Motifs Generation Using Variations of Parameters in Julia Set Function

Abstract

The fractal concept is the generation of images graphically with self-similarity properties produced by recursive or iterative algorithms to produce a new image form. Fractal structure is a common tool for describing the visual effects of one or more objects. In this research, we will design a system that can design batik fractal motifs using the Julia set. Therefore, a programmable tool to generate computerized batik motifs is needed. In this research, Julia set was used as the basis for generating batik motifs. In this system, the process of generating fractal batik images consists of 3 (three) steps: (1) determining the shape of the Julia set function for some batik motifs; (2) visualizing the results of the first step using a Pythonbased program; and (3) designing the fractal batik motifs using Julia set obtained in the second step. From experiments conducted in generating batik fractal, some conclusions were obtained as follows. First, for the greater number of iterations, the resulting image will be more detailed and the number of colors will increase. Second, the result image is influenced by the value of the complex c and the number of colors or gray-levels indicated by the number of iterations, i.e., the greater the number of iterations, the more colors are generated. Third, several variations of input parameters produce images that approach traditional batik motifs. In this research, traditional motifs that can be approached by Julia-set functions are: Parangkusumo, Nitik, Batik Liong, Mega Mendung, and Ceplok motifs. Fourth, changes in the number of iterations and the value of c applied to Julia set are better able to generate the variations of motifs. Thus, the Julia set function can help the batik designer in making fractal batik motifs.