HSE FCS summer practice supplementary material.
Practice consisted of implementing a Higher Dimension Singular Value Decomposition algorithm from [1] and applying it in low resolution PNG image compression.
Detailed description and achieved results are demonstrated in pdf document.
All in input.txt file.
First line - input file name.
Second line - output file name.
Third line - compression rate integer (defines the part of the singular values that is saved).
[1]
De Lathauwer, Lieven and De Moor, Bart and Vandewalle, Joos (2000).
"A Multilinear Singular Value Decomposition"
SIAM Journal on Matrix Analysis and Applications, vol. 21, pp. 1253–1278