Shiftable Multi-scale Transforms (1992)  (Make Corrections)  (191 citations)
MIT Media Laboratory Vision and Modeling Technical Report 161. Appears in:...
IEEE transactions on informations theory

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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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1.3:   Subband Transforms - Simoncelli, Adelson (1990)   (Correct)
0.8:   The Design and Use of Steerable Filters - Freeman, Adelson (1991)   (Correct)
0.8:   Steerable Filters and Local Analysis of Image Structure - Freeman (1992)   (Correct)

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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" }
Citations (may not include all citations):
1520   Cambridge University Press (context) - Press, Flannery et al. - 1988
1050   A theory for multiresolution signal decomposition: The wavel.. (context) - Mallat - 1989  DBLP
761   Orthonormal bases of compactly supported wavelets (context) - Daubechies - 1988
481   An iterative image registration technique with an applicatio.. - Lucas, Kanade - 1981
432   The Laplacian pyramid as a compact image code - Burt, Adelson - 1983  ACM
357   Scale-space filtering (context) - Witkin - 1985  ACM   DBLP
253   Theory of communication (context) - Gabor - 1946
239   Vision: A Computational Investigation into the Human Represe.. (context) - Marr - 1982
218   Digital Signal Processing (context) - Oppenheim, Schafer - 1975  ACM   DBLP
189   The structure of images (context) - Koenderink - 1984
182   The design and use of steerable filters - Freeman, Adelson - 1991  ACM   DBLP
136   Wavelets and dilation equations: A brief introduction (context) - Strang - 1989  ACM
130   The Fourier Transform and its Applications (context) - Bracewell - 1978
126   Two-Dimensional Signal and Image Processing (context) - Lim - 1990
121   time-frequency localization and signal analysis (context) - Daubechies, transform - 1990
105   and orientation optimized by two-dimensional visual cortical.. (context) - Daugman, for et al. - 1985
105   Subband coding of images (context) - Woods, O'Neil - 1986
100   Gabor transforms by neural networks for image analysis and c.. (context) - Daugman, --D - 1988
71   Orthogonal pyramid transforms for image coding (context) - Adelson, Simoncelli et al. - 1987
67   Fractal based description of natural scenes (context) - Pentland - 1984
53   The cortex transform: rapid computation of simulated neural .. (context) - Watson  ACM
52   Zero-crossings of a wavelet transform (context) - Mallat - 1991
49   Texture analysis using two-dimensional quadrature filters (context) - Knutsson, Granlund - 1983
46   Deformable kernels for early vision - Perona - 1991  ACM   DBLP
45   Multidimensional subband coding: some theory and algorithms (context) - Vetterli - 1984
43   Detecting and localizing edges composed of steps (context) - Perona, Malik - 1990
38   A theory of multirate filter banks (context) - Vetterli - 1987
37   Decomposition of Hardy functions into square integrable wave.. (context) - Grossmann, Morlet - 1984
36   Kluwer Academic Publishers (context) - Woods, Image - 1990
28   Application of quadrature mirror filters to split band voice.. (context) - Esteban, Galand - 1977
27   Subband transforms - Simoncelli, Adelson - 1990
26   Experiments in the visual perception of texture (context) - Julesz - 1975
22   Non-separable extensions of quadrature mirror filters to mul.. (context) - Simoncelli, Adelson - 1990
17   Perfect channel splitting by use of interpolation /decimatio.. (context) - Croisier, Esteban et al. - 1976
16   Pyramid methods in image processing - Adelson, Anderson et al. - 1984
10   Orthogonal sub-band image transforms (context) - Simoncelli - 1988
10   The Hermite transform -- theory (context) - Martens - 1990
9   Sub-band coding of digital images using two-dimensional quad.. (context) - Gharavi, Tabatabai - 1986
7   Anisotropic nonstationary image estimation and its applicati.. (context) - Knutsson, Wilson et al. - 1983
6   Efficient computation of the wavelet transforms (context) - Gopinath, Burrus - 1990
4   A method for the digital enhancement of unsharp (context) - Powell, Bayer - 1982
3   Lectures on Communication System Theory (context) - Lerner - 1961
3   Steerable filters (context) - Freeman, Adelson - 1989
2   An efficient pyramid image coding system (context) - Tran, Liu et al. - 1987
1   System for coring an image-representing signal (context) - Carlson, Adelson et al. - 1985
1   Frames of coherent states -- phase space localization and si.. (context) - Daubechies
1   Truncated subband coding of images (context) - Adelson, Simoncelli - 1989
1   On power-complementary FIR filters (context) - Vaidyanathan - 1985



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