Geodesic
The use of discrete dyadic wavelets in image processing
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2011), pp. 57-66

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In this paper, using the discrete Walsh transform, we construct orthogonal and biorthogonal wavelets for complex periodic sequences similar to those studied earlier for the Cantor group. Results of numerical experiments demonstrate the effectiveness of image processing methods based on the constructed discrete wavelets.
Keywords: dyadic wavelets, spaces of periodic sequences, Walsh functions, discrete Walsh transform, image processing. 
@article{IVM_2011_7_a6,
     author = {Yu. A. Farkov and S. A. Stroganov},
     title = {The use of discrete dyadic wavelets in image processing},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {57--66},
     publisher = {mathdoc},
     number = {7},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2011_7_a6/}
}
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Yu. A. Farkov; S. A. Stroganov. The use of discrete dyadic wavelets in image processing. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2011), pp. 57-66. http://geodesic.mathdoc.fr/item/IVM_2011_7_a6/