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Shiftable multiscale transformsA type of translational invariance, referred to as shiftability, is defined for wavelet transforms. The property of shiftability is first discussed with respect to individual parameters: spatial position, orientation, and scale. The discussion then focuses on transformations that are simultaneously shiftable with respect to subsets of these parameters. It is shown that the critical sampling condition on the wavelet transforms must be relaxed to achieve shiftability. Two example transforms are implemented and applied to several signal and image processing problems.
Document ID
19920054618
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
External Source(s)
Authors
Simoncelli, Eero P.
(NASA Ames Research Center Moffett Field, CA, United States)
Freeman, William T.
(NASA Ames Research Center Moffett Field, CA, United States)
Adelson, Edward H.
(MIT Cambridge, MA, United States)
Heeger, David J.
(NASA Ames Research Center Moffett Field; Stanford University, CA, United States)
Date Acquired
August 15, 2013
Publication Date
March 1, 1992
Publication Information
Publication: IEEE Transactions on Information Theory
Volume: 38
Issue: 2 Ma
ISSN: 0018-9448
Subject Category
Cybernetics
Accession Number
92A37242
Funding Number(s)
PROJECT: RTOP 506-71-51
CONTRACT_GRANT: F30602-89-C-0022
Distribution Limits
Public
Copyright
Other

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