Title :
SVD-based image filtering improvement by means of image rotation
Author :
Muti, Damien ; Bourennane, Salah ; Guillaume, Mireille
Author_Institution :
UMR, CNRS, Marseille, France
Abstract :
This article shows that image filtering based on SVD favors the denoising in the line (horizontal) and column (vertical) direction since the matrix SVD is equivalent to a simultaneous line and column vector principal component analysis (PCA). It also proposes a simple algorithm based on PCA-filtering processed on a rotated image such that the principal directions becomes vertical or horizontal. It brings an important improvement in the final image quality since the filtering in every image direction is improved.
Keywords :
digital filters; image denoising; principal component analysis; singular value decomposition; SVD-based image filtering; column direction; denoising; horizontal direction; image quality; image rotation; line direction; matrix SVD; simultaneous line column PCA; vector principal component analysis; vertical direction; Covariance matrix; Eigenvalues and eigenfunctions; Filtering; Image analysis; Image coding; Image quality; Matrix decomposition; Noise reduction; Principal component analysis; Singular value decomposition;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 2004. Proceedings. (ICASSP '04). IEEE International Conference on
Print_ISBN :
0-7803-8484-9
DOI :
10.1109/ICASSP.2004.1326538