Filter banks allowing perfect reconstruction
Signal Processing
A Theory for Multiresolution Signal Decomposition: The Wavelet Representation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Multiresolution Feature Extraction and Selection for Texture Segmentation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Texture segmentation by least squares filters
Signal Processing
Two-scale difference equations I: existence and global regularity of solutions
SIAM Journal on Mathematical Analysis
Simple regularity criteria for subdivision schemes
SIAM Journal on Mathematical Analysis
Wavelet transforms and filter banks
Wavelets: a tutorial in theory and applications
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In this paper, we describe a new method of texture analysis based on the wavelet transform. We propose an M-channel extension of the existing two-channel biorthogonal wavelets. This extension offers a compact and efficient decomposition, a higher degree of freedom in the design of the filter coefficients and the facility of an iterative linear solution. In contradistinction to the classical, purely mathematical design procedures of wavelet filters, the proposed design takes into account texture-relevant features. Finally, texture matched, asymmetric separable twodimensional FIR-filters are obtained, which permit the decomposition of the image into texture feature dependent pyramid structures downsampled by a factor of M for each direction. The performance of the new filters is tested with the Brodatz textures and compared with the results of other wavelet approaches.