Biomedical Imaging GroupSTI
English only   BIG > Publications > Continuous Wavelet

 Home Page
 News & Events
 Tutorials and Reviews
 Download Algorithms

 All BibTeX References

Fast Continuous Wavelet Transform

M.J. Vrhel, C. Lee, M. Unser

Proceedings of the Twentieth IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP'95), Detroit MI, USA, May 8-12, 1995, vol. II, pp. 1165-1168.

We introduce a general framework for the efficient computation of the continuous wavelet transform (CWT). The method allows arbitrary sampling along the scale axis, and achieves O(N) complexity per scale where N is the length of the signal. Our approach makes use of a compactly supported scaling function to approximate the analyzing wavelet. We derive error bounds on the wavelet approximation and show how to obtain any desired level of accuracy through the use of higher order representations. Finally, we present examples of implementation for different wavelets using polynomial spline approximations.

AUTHOR="Vrhel, M.J. and Lee, C. and Unser, M.",
TITLE="Fast Continuous Wavelet Transform",
BOOKTITLE="Proceedings of the Twentieth {IEEE} International
        Conference on Acoustics, Speech, and Signal Processing
address="Detroit MI, USA",
month="May 8-12,",

© 1995 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.