Title :
IFS fractals and the wavelet transform
Author :
Freeland, G. ; Durrani, T.
Author_Institution :
Dept. of Electron. & Electr. Eng., Strathclyde Univ., Glasgow, UK
Abstract :
Iterated function systems (IFSs) are capable of effectively describing complex shapes and textures by fractals. The interscale properties of such fractals are analyzed with the aid of the wavelet transform and general multiresolution analysis. The result is a formulation for homogeneous IFSs in general scale space which leads to a direct solution of the inverse problem of finding the IFS which best represents a given function. Multiscale techniques that are used in the analysis are discussed. Some previous results from the IFS literature are introduced
Keywords :
encoding; fractals; picture processing; transforms; IFS fractals; image coding; interscale properties; iterated function systems; multiresolution analysis; multiscale techniques; wavelet transform; Continuous wavelet transforms; Fractals; Image coding; Inverse problems; Multiresolution analysis; Shape; Signal processing; Stochastic processes; Wavelet analysis; Wavelet transforms;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1990. ICASSP-90., 1990 International Conference on
Conference_Location :
Albuquerque, NM
DOI :
10.1109/ICASSP.1990.116054
