In this research, we formed a neural network to coding homogeneous iterated function system. Our approach to this problem consists of finding an error function which will be minimized when the network coded attractor is equal to the desired attractor. Firstly, we start with a given fractal attractor find a set of weights for the network which will approximate the attractor. Secondly, we compare the consequent image using this neural network with the original image with the result of this comparison we can update the weight functions and the code of Iterated Function System (IFS). A common metric or error function used to compare between the two image fractal attractors is the Hausdorff distance. The error function gets us good means to measurement the difference between the two images. The distance is calculated by finding the farthest point on each set relative to the other set and returning the maximum of these two distances.
Rashad A. Al-Jawfi. Solving the Inverse Problem of 3D Fractals Using Neural Networks.
DOI: https://doi.org/10.36478/ijssceapp.2018.30.34
URL: https://www.makhillpublications.co/view-article/1997-5422/ijssceapp.2018.30.34