4.10.1 Wavelet Representations

Chapter Contents (Back)
Wavelets. Representation, Wavelets. Wavelet transformations are generated by a smoothing filter and a wavelet filter. Different wavelet filters can be applied. One interpretation is that the wavelet transform is the same as applying quadrature mirror filters. The wavelet provides both time and frequency information. (Or in images space and frequency.) For general wavelet information see: Wavelet.Org:
WWW Link.

Grosssmann, A., and Morlet, J.,
Decomposition of Hardy Functions into Square Integrable Wavelets of Constant Shape,
SIAM_Math(15), 1984, pp. 723-736. The mathmatical introduction of wavelets. Later adopted by computer vision. BibRef 8400

Pentland, A.P.[Alex P.],
Interpolation Using Wavelet Bases,
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IEEE DOI BibRef 9404
Earlier:
Surface Interpolation Using Wavelets,
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Springer DOI BibRef
And:
Spatial and Temporal Surface Interpolation Using Wavelet Bases,
SPIE(1570), 1991, pp. 43-62. Surface Reconstruction. Regularization. BibRef

Mann, S.[Steve],
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Haddad, Z.S., Simanca, S.R.,
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Hessnielsen, N., Wickerhauser, M.V.,
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Wavelet decomposition of binary finite images,
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Mohanty, K.K.,
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Watson, G.H., Watson, S.K.,
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Wu, B.F., Su, Y.L.,
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Busch, C., Debes, E.,
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Scheunders, P.,
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Segman, J.[Joseph], Zeevi, Y.Y.,
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Sagiv, C.[Chen], Sochen, N.A.[Nir A.], Zeevi, Y.Y.[Yehoshua Y.],
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Ferdman, Y.[Yossi], Sagiv, C.[Chen], Sochen, N.A.[Nir A.],
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Zhu, H.X.[Hui-Xia], Ritter, G.X.,
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Peyrin, F., Zaim, M., Goutte, R.,
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Antoine, J.P., Carrette, P., Murenzi, R., Piette, B.,
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And: Correction. SP(35), No. 1, 1994, pp. 93. BibRef

Jansen, M., Bultheel, A.,
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A Nonlinear Contour Preserving Transform for Geometrical Image Compression,
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Crouse, M.S., Nowak, R.D., Baraniuk, R.G.,
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Nowak, R.D., Baraniuk, R.G.,
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Romberg, J.K.[Justin K.], Choi, H.H.[Hyeok-Ho], Baraniuk, R.G.[Richard G.],
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Romberg, J.K.[Justin K.], Choi, H.H.[Hyeok-Ho], Baraniuk, R.G.[Richard G.],
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ICIP01(I: 614-617).
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BibRef
Earlier:
Multiscale Classification Using Complex Wavelets and Hidden Markov Tree Models,
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IEEE DOI 0008
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Choi, H.H.[Hyeok-Ho], Baraniuk, R.G.[Richard G.],
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Baraniuk, R.G.,
Wavelet soft-thresholding of time-frequency representations,
ICIP94(I: 71-74).
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Berkner, K., Wells, Jr., R.O.,
A New Hierarchical Scheme for Approximating the Continuous Wavelet Transform with Applications to Edge Detection,
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Aldroubi, A.[Akram], Eden, M.[Murray], and Unser, M.[Michael],
Discrete Spline Filters for Multiresolutions and Wavelets of L2,
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Unser, M.[Michael],
Vanishing moments and the approximation power of wavelet expansions,
ICIP96(I: 629-632).
IEEE DOI BibRef 9600

Unser, M.,
Multigrid adaptive image processing,
ICIP95(I: 49-52).
IEEE DOI 9510
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Blu, T., and Unser, M.,
Quantitative L2 Error Analysis for Interpolation Methods and Wavelet Expansions,
ICIP97(I: 663-666).
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Luisier, F., Blu, T.,
SURE-LET Multichannel Image Denoising: Interscale Orthonormal Wavelet Thresholding,
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Luisier, F., Blu, T., Unser, M.,
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Sure-Based Wavelet Thresholding Integrating Inter-Scale Dependencies,
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Blu, T., Luisier, F.,
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Tafti, P.D.[Pouya Dehghani], van de Ville, D., Unser, M.[Michael],
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Unser, M., Sage, D., van de Ville, D.,
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Unser, M.[Michael], van de Ville, D.[Dimitri],
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Higher-order riesz transforms and steerable wavelet frames,
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van de Ville, D.[Dimitri], Unser, M.[Michael],
The Marr wavelet pyramid,
ICIP08(2804-2807).
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Kovacevic, J., Sweldens, W.,
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Hung, K.C.,
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Curve Representations. BibRef

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Tang, Y.Y., Yang, L., Liu, J.,
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IEEE Top Reference. 0004
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He, W., Lai, M.J.,
Examples of Bivariate Nonseparable Compactly Supported Orthonormal Continuous Wavelets,
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Liew, A.W.C., Law, N.F.,
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Chang, S.G., Yu, B., Vetterli, M.,
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Chang, S.G., Yu, B.[Bin], Vetterli, M.,
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IEEE DOI 9810
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Chang, S.G., Yu, B.[Bin], Vetterli, M.,
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IP(9), No. 9, September 2000, pp. 1532-1546.
IEEE DOI 0008
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Earlier:
Multiple copy image denoising via wavelet thresholding,
ICIP98(I: 545-549).
IEEE DOI 9810
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Earlier:
Image Denoising via Lossy Compression and Wavelet Thresholding,
ICIP97(I: 604-607).
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IEEE DOI BibRef
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Approximation-Theoretic Analysis of Translation Invariant Wavelet Expansions,
ICIP01(I: 622-625).
IEEE DOI 0108
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ICIP01(II: 21-24).
IEEE DOI 0108
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Earlier:
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IEEE DOI 0008
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Atkinson, I.C.[Ian C.], Kamalabadi, F.[Farzad],
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Held, S., Storath, M., Massopust, P., Forster, B.,
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ICIP13(991-995)
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ICIP11(1497-1500).
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Ward, J.P.[John Paul], Chaudhury, K.N.[Kunal Narayan], Unser, M.[Michael],
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Ward, J.P.[John Paul], Pad, P., Unser, M.[Michael],
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signal representation BibRef

Pad, P., Uhlmann, V., Unser, M.,
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Algorithm design and analysis BibRef

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Traoré, A.[Albekaye], Carré, P.[Philippe], Olivier, C.[Christian],
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Reduced-reference metric based on the quaternionic wavelet coefficients modeling by information criteria,
ICIP14(526-530)
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Deng, G.,
Guided Wavelet Shrinkage for Edge-Aware Smoothing,
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IEEE DOI 1702
computational complexity BibRef


Yin, J.H.[Ji-Hao], Gao, C.[Chao], Wang, Y.F.[Yi-Fei], Wang, Y.S.[Yi-Song],
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IASP10(322-326).
IEEE DOI 1004
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Fernandes Mota, V.[Virginia], de Almeida Perez, E.[Eder], Knop de Castro, T.[Tassio], Chapiro, A.[Alexandre], Bernardes Vieira, M.[Marcelo],
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Motwani, M.C.[Mukesh C.], Motwani, R.C.[Rakhi C.], Harris, F.C.[Frederick C.],
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ICIP09(4261-4264).
IEEE DOI 0911
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Tang, G.J.[Gui-Ji], Ye, J.S.[Jin-Sheng], Zhang, R.P.[Rong-Pei], Hu, A.J.[Ai-Jun],
Harmonic wavelet packets method and its application to signal analysis of rotating machinery,
IASP09(108-113).
IEEE DOI 0904
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Cen, H.Y.[Hai-Yan], Bao, Y.[Yidan], Huang, M.[Min], He, Y.[Yong],
Time Series Analysis of Grey Forecasting Based on Wavelet Transform and Its Prediction Applications,
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Abhayaratne, G.C.K.,
Reducing Aliasing in Wavelets Based Downsampling for Improved Resolution Scalability,
ICIP05(II: 898-901).
IEEE DOI 0512
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Deng, G.[Guang],
Signal Estimation Using Multiple-Wavelet Representations and Gaussian Models,
ICIP05(I: 453-456).
IEEE DOI 0512
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ICIP03(I: 61-64).
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Bastys, A.,
The Gibbs phenomenon bounds in wavelet approximations,
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IEEE DOI 0312
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Ma, K., Tang, X.,
Discrete Wavelet Face Graph Matching,
ICIP01(II: 217-220).
IEEE DOI 0108
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Dragotti, P.L.,
Wavelet Transform Footprints: Catching Singularities for Compression and Denoising,
ICIP00(Vol II: 363-366).
IEEE DOI 0008
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Dragotti, P.L., Vetterli, M.,
Footprints and Edgeprints for Image Denoising and Compression,
ICIP01(II: 237-240).
IEEE DOI 0108
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Dyadic Wavelet-based Nonlinear Conduction Equation: Theory and Applications,
ICIP00(Vol I: 880-883).
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Wei, D., Evans, B.L., and Bovik, A.C.,
Biorthogonal Quincunx Coifman Wavelets,
ICIP97(II: 246-249).
IEEE DOI
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Moni, S.,
A Tree Structured, Wavelet-Based Stochastic Process for Fast Image Processing,
ICIP97(II: 227-229).
IEEE DOI BibRef 9700

Cheung, K.W., and Po, L.M.,
Preprocessing for Discrete Multiwavelet Transform of Two-Dimensional Signals,
ICIP97(II: 350-353).
IEEE DOI BibRef 9700

Chao, J.J., and Lin, C.C.,
Sea Clutter Rejection in Radar Image Using Wavelets and Fractals,
ICIP97(II: 354-357).
IEEE DOI BibRef 9700

Rodenas, J.A., Cabarrocas, D., and Garello, R.,
Wavelet Transform of SAR Images for Internal Wave Detection and Orientation,
ICIP97(I: 841-844).
IEEE DOI 9710
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Monro, D.M., and Sherlock, B.G.,
Space-Frequency Balance in Biorthogonal Wavelets,
ICIP97(I: 624-627).
IEEE DOI 9710
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Krongold, B., Ramchandran, K., and Jones, D.,
Frequency-Shift-Invariant Orthonormal Wavelet Packet Representations,
ICIP97(I: 628-631).
IEEE DOI BibRef 9700

Strobel, N., Mitra, S.K., and Manjunath, B.S.,
Model-Based Detection and Correction of Corrupted Wavelet Coefficients,
ICIP97(I: 925-928).
IEEE DOI
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Ho, W., Chang, W.,
Wavelet Representation for Multigrid Computation in Surface Interpolation Problem,
ICPR96(I: 740-744).
IEEE DOI 9608
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Sarkar, S.[Sandip], Poor, H.V.[H. Vincent],
Multiband cyclic wavelet transforms,
ICIP96(I: 589-592).
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Kautsky, J.[Jaroslav], Turcajová, R.[Radka],
Adaptive wavelets for signal analysis,
CAIP95(906-911).
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Watanabe, S., Akimoto, Y., Komatsu, T., Saito, T.,
A new stabilized zero-crossing representation in the wavelet transform domain and signal reconstruction,
ICIP95(I: 37-40).
IEEE DOI 9510
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Hall, R.W., Kucuk, S., and Hamdi, M.,
Wavelet Transform Embeddings in Mesh Architectures,
CVPR93(596-597).
IEEE DOI BibRef 9300

Chapter on Computational Vision, Regularization, Connectionist, Morphology, Scale-Space, Perceptual Grouping, Wavelets, Color, Sensors, Optical, Laser, Radar continues in
Wavelets, Surveys, Reviews, Overviews, Evaluations, General .


Last update:Aug 9, 2017 at 18:37:22