Title :
On wavelet compression of self-similar processes
Author :
Sarshar, Nima ; Wu, Xiaolin
Author_Institution :
McMaster Univ., Hamilton, Ont., Canada
Abstract :
Self-similar stochastic processes are stochastic counterparts of deterministic fractals. Fractional Brownian motion (fBm) is a self-similar nonstationary Gaussian process originally proposed to model power-law behavior of power spectrum of long-range dependant (LRD) natural processes. Multiscale nature of wavelets make them natural candidates for analysis and synthesis of fractional Brownian motions. Despite wavelet compression being the method of choice for image compression, the performance of wavelet compression schemes are investigated for compressing fractional Brownian motions. Theoretical rate-distortion function of fBm is explicitly derived.
Keywords :
Brownian motion; data compression; image coding; rate distortion theory; stochastic processes; transform coding; wavelet transforms; fractional Brownian motion; image compression; long-range dependant natural process; nonstationary Gaussian process; power spectrum; power-law behavior; rate-distortion function; self-similar stochastic processes; wavelet compression; Biomedical image processing; Brownian motion; Fractals; Gaussian processes; Image coding; Image resolution; Rate-distortion; Stochastic processes; Wavelet analysis; Wavelet transforms;
Conference_Titel :
Data Compression Conference, 2004. Proceedings. DCC 2004
Print_ISBN :
0-7695-2082-0
DOI :
10.1109/DCC.2004.1281539
