NEURAL COOPERATING PROCEDURE FOR FRACTAL ANALYSIS OF ARTIFICIAL DRAWINGS

Citation
B. Apolloni et al., NEURAL COOPERATING PROCEDURE FOR FRACTAL ANALYSIS OF ARTIFICIAL DRAWINGS, Chaos, solitons and fractals, 5(5), 1995, pp. 747
Citations number
15
Categorie Soggetti
Mathematics,Mechanics,Engineering,"Physics, Applied
ISSN journal
09600779
Volume
5
Issue
5
Year of publication
1995
Database
ISI
SICI code
0960-0779(1995)5:5<747:NCPFFA>2.0.ZU;2-R
Abstract
We assess a procedure for discovering the mixing ratios of transformat ions within the bench of affine maps of a probabilistic iterated fuzzy functions system which gives rise to 256 artificial color drawings. A first hypothesis on these ratios is obtained from a pseudo-ergodic es timate of the probabilities of matching special paths during the image generation. The job of the neural network is to remove biases from th is hypothesis after a proper training. The reconstructed images are ne arly identical to their original ones also on instances not used to tr ain the network, and their representation through the above ratios att ains a very high compression rate.