EPFL | Biomedical Imaging Group | Oblique Multiwavelets

Oblique Multiwavelet Bases: Examples

A. Aldroubi

Proceedings of the SPIE Conference on Mathematical Imaging: Wavelet Applications in Signal and Image Processing IV, Denver CO, USA, August 6-9, 1996, vol. 2825, part I, pp. 54–64.

Orthogonal, semiorthogonal and biorthogonal wavelet bases are special cases of oblique multiwavelet bases. One of the advantage of oblique multiwavelets is the flexibility they provide for constructing bases with certain desired shapes and/or properties. The decomposition of a signal in terms of oblique wavelet bases is still a perfect reconstruction filter bank. In this paper, we present several examples that show the similarity and differences between the oblique and other types of wavelet bases. We start with the Haar multiresolution to illustrate several examples of oblique wavelet bases, and then use the Cohen-Daubechies-Plonka multiscaling function to construct several oblique multiwavelets.

@INPROCEEDINGS(http://bigwww.epfl.ch/publications/aldroubi9602.html,
AUTHOR="Aldroubi, A.",
TITLE="Oblique Multiwavelet Bases: {E}xamples",
BOOKTITLE="Proceedings of the {SPIE} Conference on Mathematical
	Imaging: {W}avelet Applications in Signal and Image Processing
	{IV}",
YEAR="1996",
editor="",
volume="2825",
series="",
pages="54--64",
address="Denver CO, USA",
month="August 6-9,",
organization="",
publisher="",
note="Part {I}")

© 1996 SPIE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from SPIE. This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.