"WTT decomposition for the compression of array's families and its application to image processing"
Kharyuk P.V. and Оseledets I.V.

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, Tensor Train decomposition, data compression.

  • Kharyuk P.V. – Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics; Leninskie Gory, Moscow, 119992, Russia; Student, e-mail: hariyuki.pavel@gmail.com
  • Оseledets I.V. – Institute of Numerical Mathematics, Russian Academy of Sciences; ulitsa Gubkina 8, Moscow, 119333, Russia; Ph.D., Senior Scientist, e-mail: ivan.oseledets@gmail.com