TY - GEN
T1 - Discrete directional wavelet bases for image compression
AU - Dragotti, Pier Luigi
AU - Velisavljević, Vladan
AU - Vetterli, Martin
AU - Beferull-Lozano, Baltasar
PY - 2003/6/23
Y1 - 2003/6/23
N2 - The application of the wavelet transform in image processing is most frequently based on a separable construction. Lines and columns in an image are treated independently and the basis functions are simply products of the corresponding one dimensional functions. Such method keeps simplicity in design and computation, but is not capable of capturing properly all the properties of an image. In this paper, a new truly separable discrete multi-directional transform is proposed with a subsampling method based on lattice theory. Alternatively, the subsampling can be omitted and this leads to a multi-directional frame. This transform can be applied in many areas like denoising, non-linear approximation and compression. The results on non-linear approximation and denoising show very interesting gains compared to the standard two-dimensional analysis.
AB - The application of the wavelet transform in image processing is most frequently based on a separable construction. Lines and columns in an image are treated independently and the basis functions are simply products of the corresponding one dimensional functions. Such method keeps simplicity in design and computation, but is not capable of capturing properly all the properties of an image. In this paper, a new truly separable discrete multi-directional transform is proposed with a subsampling method based on lattice theory. Alternatively, the subsampling can be omitted and this leads to a multi-directional frame. This transform can be applied in many areas like denoising, non-linear approximation and compression. The results on non-linear approximation and denoising show very interesting gains compared to the standard two-dimensional analysis.
KW - Denoising
KW - Non-linear approximation
KW - Wavelets
UR - https://www.scopus.com/pages/publications/0141719471
U2 - 10.1117/12.509905
DO - 10.1117/12.509905
M3 - Conference contribution
SN - 9780819450234
VL - 5150 II
T3 - Proceedings of SPIE - The International Society for Optical Engineering
SP - 1287
EP - 1295
BT - Proceedings Volume 5150, Visual Communications and Image Processing 2003; (2003) https://doi.org/10.1117/12.509905
PB - SPIE
T2 - Visual Communications and Image Processing 2003
Y2 - 8 July 2003 through 11 July 2003
ER -