Geodesic
WTT decomposition for the compression of array's families and its application to image processing
Numerical methods and programming, Tome 15 (2014) no. 2, pp. 229-238.

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The application of Wavelet Tensor Train decomposition to the compression of array's families to image processing is considered. The WTT decomposition is an algebraic technique for the construction of adaptive wavelet transforms. Its main disadvantage is that it requires to store filters for each image. A new approach is proposed on the basis of the construction of a single filter for a sequence of images.
Keywords: numerical tensor methods, wavelet transform, Wavelet Tensor Train decomposition
Mots-clés : Tensor Train decomposition, data compression. 
@article{VMP_2014_15_2_a4,
     author = {P. V. Kharyuk and I. V. Oseledets},
     title = {WTT decomposition for the compression of array's families and its application to image processing},
     journal = {Numerical methods and programming},
     pages = {229--238},
     publisher = {mathdoc},
     volume = {15},
     number = {2},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMP_2014_15_2_a4/}
}
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P. V. Kharyuk; I. V. Oseledets. WTT decomposition for the compression of array's families and its application to image processing. Numerical methods and programming, Tome 15 (2014) no. 2, pp. 229-238. http://geodesic.mathdoc.fr/item/VMP_2014_15_2_a4/