Biomedical Imaging GroupSTI
English only   BIG > Publications > Dyadic Wavelets

 Home Page
 News & Events
 Tutorials and Reviews
 Download Algorithms

 All BibTeX References

Efficient Dyadic Wavelet Transformation of Images Using Interpolation Filters

M. Unser

Proceedings of the Eighteenth IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP'93), Minneapolis MN, USA, April 27-30, 1993, vol. V, pp. 149-152.

The properties of a special class of overcomplete wavelet transforms specified in terms of an interpolation filter are investigated. The decomposition is obtained by filtering the signal with a sequence of increasingly selective lowpass filters with a dyadic scale progression. The wavelet coefficients are evaluated by simple subtraction of two consecutive lowpass components. The lowpass filter bank is implemented using a standard iterative multiscale algorithm. The impulse responses of the analysis filters are shown to be interpolated versions of each other. This structure is computationally very efficient; it requires a little more than one-fourth as many operations as other comparable wavelet-based algorithms. The corresponding filter bank provides a perfect coverage of the frequency domain, which results in a trivial reconstruction procedure by summation. Extensions to the subsampled case are also presented. The decompositions associated with spline interpolation filters are considered in some detail, and some image processing examples are presented.

AUTHOR="Unser, M.",
TITLE="Efficient Dyadic Wavelet Transformation of Images Using
        Interpolation Filters",
BOOKTITLE="Proceedings of the Eighteenth {IEEE} International
        Conference on Acoustics, Speech, and Signal Processing
address="Minneapolis MN, USA",
month="April 27-30,",

© 1993 IEEE. 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 IEEE.
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.