Using iterated function systems to model discrete sequences
- 1 July 1992
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Signal Processing
- Vol. 40 (7) , 1724-1734
- https://doi.org/10.1109/78.143444
Abstract
Two iterated function system (IFS) models are explored for the representation of single-valued discrete-time sequences: the self-affine fractal model and the piecewise self-affine fractal model. Algorithms are presented, one of which is suitable for a multiprocessor implementation, for identification of the parameters of each model. Applications of these models to a variety of data types are given where signal-to-noise ratios are presented, quantization effects of the model parameters are investigated, and compression ratios are computed.<>Keywords
This publication has 14 references indexed in Scilit:
- Turbulent combustion data analysis using fractalsAIAA Journal, 1991
- Hidden-variable fractal interpolation of discrete sequencesPublished by Institute of Electrical and Electronics Engineers (IEEE) ,1991
- Newton's method for fractal approximationConstructive Approximation, 1989
- Recurrent iterated function systemsConstructive Approximation, 1989
- Fractal reconstruction of sea-floor topographyPure and Applied Geophysics, 1989
- Fractal modeling of time-series dataPublished by Institute of Electrical and Electronics Engineers (IEEE) ,1989
- Fractals: not just another pretty pictureIEEE Spectrum, 1988
- Harnessing chaos for image synthesisACM SIGGRAPH Computer Graphics, 1988
- The Science of Fractal ImagesPublished by Springer Nature ,1988
- Fractal functions and interpolationConstructive Approximation, 1986