A Theory for Multiresolution Signal Decomposition: The Wavelet Representation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Wavelet representations and coding of self-affine signals
ICASSP '91 Proceedings of the Acoustics, Speech, and Signal Processing, 1991. ICASSP-91., 1991 International Conference
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The weighted multiresolution process model (WiMP) has been shown to combine the scale and time frequency localization properties of the wavelet representation with the self-affine characteristics of signals generated by iterated function systems (IFSs). It maintains the properties of the IFS model and resolves the instability of the inverse problem by introducing more parameters. Based on the conjecture that while IFSs are deterministic models, they can synthesize natural looking textures, this papers presents examples of modeling and reconstruction of real textures using WiMPs. It is observed that in the case of natural textures, the performance of the model is sensitive to the space and frequency localization of the wavelet decomposition.