26 October 1999 Asymmetry and self-similarity in the wavelet spectrum
Author Affiliations +
One of the most remarkable properties of wavelet transform is its ability to separate data into different scale contents. For data that show self-similar characteristics in every scale, like fractal landscape, the wavelet spectrum also shows self-similarity. Nevertheless, the situation is not so clear for time dependent data, like seismic geology, solar flares, among others systems that are known to contain self-organized criticality. It is not obvious that these properties will be present in the wavelet spectrum in the form of self-similarity. In this work, we apply two gradient field computational operators R2 yields R, the Complex Entropic Form and the Asymmetric Amplitude Fragmentation, as a mean to differentiate self-similarity from different sources.
© (1999) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Camilo Rodrigues Neto, Camilo Rodrigues Neto, Reinaldo Roberto Rosa, Reinaldo Roberto Rosa, Fernando M. Ramos, Fernando M. Ramos, Ademilson Zanandrea, Ademilson Zanandrea, } "Asymmetry and self-similarity in the wavelet spectrum", Proc. SPIE 3813, Wavelet Applications in Signal and Image Processing VII, (26 October 1999); doi: 10.1117/12.366849; https://doi.org/10.1117/12.366849

Back to Top