Biomedical Imaging GroupSTI
English only   BIG > Publications > Wavelet Steering

 Home Page
 News & Events
 Tutorials and Reviews
 Download Algorithms

 All BibTeX References

On the Continuous Steering of the Scale of Tight Wavelet Frames

Z. Püspöki, J.P. Ward, D. Sage, M. Unser

SIAM Journal on Imaging Sciences, vol. 9, no. 3, pp. 1042-1062, 2016.

In analogy with steerable wavelets, we present a general construction of adaptable tight wavelet frames, with an emphasis on scaling operations. In particular, the derived wavelets can be "dilated" by a procedure comparable to the operation of steering steerable wavelets. The fundamental aspects of the construction are the same: an admissible collection of Fourier multipliers is used to extend a tight wavelet frame, and the "scale" of the wavelets is adapted by scaling the multipliers. As an application, the proposed wavelets can be used to improve the frequency localization. Importantly, the localized frequency bands specified by this construction can be scaled efficiently using matrix multiplication.

AUTHOR="P{\"{u}}sp{\"{o}}ki, Z. and Ward, J.P. and Sage, D. and Unser,
TITLE="On the Continuous Steering of the Scale of Tight Wavelet Frames",
JOURNAL="{SIAM} Journal on Imaging Sciences",

© 2016 SIAM. 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 SIAM.
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.