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research article

On the Continuous Steering of the Scale of Tight Wavelet Frames

Püspöki, Z.
•
Ward, J.P.
•
Sage, D.  
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2016
SIAM Journal on Imaging Sciences

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.

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Type
research article
DOI
10.1137/15M1033885
Web of Science ID

WOS:000385277200006

Author(s)
Püspöki, Z.
Ward, J.P.
Sage, D.  
Unser, M.  
Date Issued

2016

Publisher

SIAM

Published in
SIAM Journal on Imaging Sciences
Volume

9

Issue

3

Start page

1042

End page

1062

Subjects

tight wavelet frames

•

transformability

•

scalability

•

Fourier multipliers

URL

URL

http://bigwww.epfl.ch/publications/puespoeki1604.html

URL

http://bigwww.epfl.ch/publications/puespoeki1604.pdf

URL

http://bigwww.epfl.ch/publications/puespoeki1604.ps
Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
LIB  
Available on Infoscience
August 23, 2016
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/128826
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