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Abstract: Orthogonal wavelet transforms have recently become a popular representation for multiscale signal and image analysis. One of the major drawbacks of these representations is their lack of translation invariance: the content of wavelet subbands is unstable under translations of the input signal. Wavelet transforms are also unstable with respect to dilations of the input signal, and in two dimensions, rotations of the input signal. We formalize these problems by defining a type of translation... (Update)
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BibTeX entry: (Update)
E P Simoncelli, W T Freeman, E H Adelson, and D J Heeger. Shiftable multi-scale transforms. IEEE Trans Information Theory, 38(2):587--607, March 1992. http://citeseer.ist.psu.edu/simoncelli92shiftable.html More
@article{ simoncelli92shiftable,
author = "Eero P. Simoncelli and William T. Freeman and Edward H. Adelson and David J. Heeger",
title = "Shiftable Multi-scale Transforms",
journal = "IEEE transactions on informations theory",
organization = "The Institute of Electrical and Electronics Engineers",
volume = "38",
number = "2",
year = "1992",
publisher = "The IEEE computer society",
url = "citeseer.ist.psu.edu/simoncelli92shiftable.html",
url = "http://www.ieee.org/ and ftp://ftp.cis.upenn.edu/pub/eero/simoncelli91.ps.Z",
note = "MIT Media Laboratory Vision and Modeling Technical Report #161" }
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