4.10.1 Wavelet Representations

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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 Version.

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,
PAMI(16), No. 4, April 1994, pp. 410-414.
IEEE Abstract. IEEE Top Reference.
WWW Version. BibRef 9404
Earlier:
Surface Interpolation Using Wavelets,
ECCV92(615-619).
WWW Version. BibRef
And:
Spatial and Temporal Surface Interpolation Using Wavelet Bases,
SPIE(1570), 1991, pp. 43-62. Surface Reconstruction. Regularization. BibRef

Mann, S.[Steve],
Wavelets and 'Chirplets': Time-Frequence 'Perspectives' with Applications,
AMV Strategies921992, pp. 99-128. Both space and time domain sampling. BibRef 9200

Barrat, M., Lepetit, O.,
Recursive Wavelet Transform for 2D Signals,
GMIP(56), No. 1, January 1994, pp. 106-108. BibRef 9401

Wang, G.F., Zhang, J., Pan, G.W.,
Solution of Inverse Problems in Image-Processing by Wavelet Expansion,
IP(4), No. 5, May 1995, pp. 579-593.
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And: Corrections: IP(4), No. 9, September 1995, pp. 1340. BibRef

Haddad, Z.S., Simanca, S.R.,
Filtering Image Records Using Wavelets and the Zakai Equation,
PAMI(17), No. 11, November 1995, pp. 1069-1078.
IEEE Abstract. IEEE Top Reference.
WWW Version. BibRef 9511

Hessnielsen, N., Wickerhauser, M.V.,
Wavelets and Time-Frequency Analysis,
PIEEE(84), No. 4, April 1996, pp. 523-540. BibRef 9604

Li, Y., Szu, H.H., Sheng, Y.L., Caulfield, H.J.,
Wavelet Processing and Optics,
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Mukherjee, S., Nayar, S.K.,
Automatic-Generation of RBF Networks Using Wavelets,
PR(29), No. 8, August 1996, pp. 1369-1383.
WWW Version. 9608 BibRef

Swanson, M.D., Tewfik, A.H.,
A Binary Wavelet Decomposition of Binary Images,
IP(5), No. 12, December 1996, pp. 1637-1650.
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Earlier:
Wavelet decomposition of binary finite images,
ICIP94(I: 61-65).
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Mohanty, K.K.,
The Wavelet Transform for Local Image-Enhancement,
JRS(18), No. 1, January 10 1997, pp. 213-219. 9701 Enhancement. BibRef

Polchlopek, H.M., Noonan, J.P.,
Wavelets, Detection, Estimation, and Sparsity,
DSP(7), No. 1, January 1997, pp. 28-36. 9703 BibRef

Benno, S.A., Moura, J.M.F.,
On Translation Invariant Subspaces and Critically Sampled Wavelet Transforms,
MultiSP(8), No. 1-2, January 1997, pp. 89-110. 9703 BibRef

Watson, G.H., Watson, S.K.,
Wavelet Transforms on Vector-Spaces as a Method of Multispectral Image Characterization,
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Cha, H.T., Chaparro, L.F.,
Adaptive Morphological Representation of Signals: Polynomial and Wavelet Methods,
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Lina, J.M.,
Image-Processing with Complex Daubechies Wavelets,
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Chen, H., Kawai, Y., Maeda, H.,
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Leduc, J.P.,
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Chu, Y., Fang, W.H.,
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Hirchoren, G.A., Dattellis, C.E.,
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Evangelista, G., Cavaliere, S.,
Discrete Frequency Warped Wavelets: Theory and Applications,
TSP(46), No. 4, April 1998, pp. 874-885. 9804 BibRef

Chen, L.L., Chen, C.W., Parker, K.J.,
Adaptive Feature Enhancement for Mammographic Images with Wavelet Multiresolution Analysis,
JEI(6), No. 4, October 1997, pp. 467-478. 9807 BibRef

Wu, B.F., Su, Y.L.,
On Stationarizability for Nonstationary 2-D Random-Fields Using Discrete Wavelet Transforms,
IP(7), No. 9, September 1998, pp. 1359-1366.
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Busch, C., Debes, E.,
Wavelet Transform for Analyzing fog Visibility,
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Strela, V., Heller, P.N., Strang, G., Topiwala, P., Heil, C.,
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IP(8), No. 4, April 1999, pp. 548-563.
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Singh, H., Heller, P.N.,
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Scheunders, P.,
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Scheunders, P.,
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IP(12), No. 6, June 2003, pp. 718-725.
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Scheunders, P.,
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Segman, J.[Joseph], Zeevi, Y.Y.,
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JMIV(3), No. 1, 1993, pp. 51-77. BibRef 9300

Sagiv, C.[Chen], Sochen, N.A.[Nir A.], Zeevi, Y.Y.[Yehoshua Y.],
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Scale-Space Generation via Uncertainty Principles,
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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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JMIV(3), No. 1, 1993, pp. 105-121. BibRef 9300

Antoine, J.P., Carrette, P., Murenzi, R., Piette, B.,
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Jansen, M., Bultheel, A.,
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van Aerschot, W., Jansen, M., Bultheel, A.,
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Crouse, M.S., Nowak, R.D., Baraniuk, R.G.,
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TSP(46), No. 4, April 1998, pp. 886-902. 9804 BibRef

Nowak, R.D., Baraniuk, R.G.,
Wavelet-Domain Filtering for Photon Imaging Systems,
IP(8), No. 5, May 1999, pp. 666-678.
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Romberg, J.K.[Justin K.], Choi, H.H.[Hyeok-Ho], Baraniuk, R.G.[Richard G.],
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Bayesian Wavelet-Domain Image Modeling using Hidden Markov Trees,
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Romberg, J.K., Choi, H., Baraniuk, R.G.,
Multiscale Edge Grammars for Complex Wavelet Transforms,
ICIP01(I: 614-617).
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Romberg, J.K., Choi, H., Baraniuk, R.G.,
Multiscale Classification Using Complex Wavelets and Hidden Markov Tree Models,
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Choi, H.H.[Hyeok-Ho], Baraniuk, R.G.[Richard G.],
Multiscale image segmentation using wavelet-domain hidden Markov models,
IP(10), No. 9, September 2001, pp. 1309-1321.
IEEE DOI may work or IEEE-CS DOI may work. 0108 BibRef

Baraniuk, R.G.,
Wavelet soft-thresholding of time-frequency representations,
ICIP94(I: 71-74).
IEEE DOI may work or IEEE-CS DOI may work. 9411 BibRef

Berkner, K., Wells, Jr., R.O.,
A New Hierarchical Scheme for Approximating the Continuous Wavelet Transform with Applications to Edge Detection,
SPLetters(6), No. 8, August 1999, pp. 193.
IEEE Top Reference. BibRef 9908

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 may work or IEEE-CS DOI may work. BibRef 9600

Unser, M.,
Multigrid adaptive image processing,
ICIP95(I: 49-52).
IEEE DOI may work or IEEE-CS DOI may work. 9510 BibRef

Blu, T., and Unser, M.,
Quantitative L2 Error Analysis for Interpolation Methods and Wavelet Expansions,
ICIP97(I: 663-666).
IEEE DOI may work or IEEE-CS DOI may work. BibRef 9700

Luisier, F., Blu, T.,
SURE-LET Multichannel Image Denoising: Interscale Orthonormal Wavelet Thresholding,
IP(17), No. 4, April 2008, pp. 482-492.
IEEE DOI may work or IEEE-CS DOI may work. 0803 BibRef

Luisier, F., Blu, T., Unser, M.,
A New SURE Approach to Image Denoising: Interscale Orthonormal Wavelet Thresholding,
IP(16), No. 3, March 2007, pp. 593-606.
IEEE DOI may work or IEEE-CS DOI may work. 0703 BibRef
Earlier:
Sure-Based Wavelet Thresholding Integrating Inter-Scale Dependencies,
ICIP06(1457-1460). 0610
IEEE DOI may work or IEEE-CS DOI may work. BibRef

Blu, T., Luisier, F.,
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Kovacevic, J., Sweldens, W.,
Wavelet Families of Increasing Order in Arbitrary Dimensions,
IP(9), No. 3, March 2000, pp. 480-496.
IEEE DOI may work or IEEE-CS DOI may work. 0003 BibRef

Hilton, M.L., Panda, P., Jawerth, B., Sweldens, W.,
Wavelet-based cosine crossings of signals,
ICIP95(I: 57-60).
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Hung, K.C.,
The Generalized Uniqueness Wavelet Descriptor for Planar Closed Curves,
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Hung, K.C.[King-Chu], Chen, C.L.[Chih-Liang], Kuo, J.M.[Jyh-Ming],
The Generalized Uniqueness Wavelet Descriptor,
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Tang, Y.Y., Yang, L., Liu, J.,
Characterization of Dirac Structure Edges with Wavelet Transform,
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IEEE Top Reference. 0004 BibRef

He, W., Lai, M.J.,
Examples of Bivariate Nonseparable Compactly Supported Orthonormal Continuous Wavelets,
IP(9), No. 5, May 2000, pp. 949-953.
IEEE DOI may work or IEEE-CS DOI may work. 0005 BibRef

Liew, A.W.C., Law, N.F.,
Reconstruction from 2-D wavelet transform modulus maxima using projection,
VISP(147), No. 2, April 2000, pp. 176. 0005 BibRef

Duchowski, A.T.,
Acuity-Matching Resolution Degradation Through Wavelet Coefficient Scaling,
IP(9), No. 8, August 2000, pp. 1437-1440.
IEEE DOI may work or IEEE-CS DOI may work. 0008 BibRef

Chang, S.G., Yu, B., Vetterli, M.,
Wavelet Thresholding for Multiple Noisy Image Copies,
IP(9), No. 9, September 2000, pp. 1631-1635.
IEEE DOI may work or IEEE-CS DOI may work. 0008 BibRef

Chang, S.G., Yu, B.[Bin], Vetterli, M.,
Spatially Adaptive Wavelet Thresholding with Context Modeling for Image Denoising,
IP(9), No. 9, September 2000, pp. 1522-1531.
IEEE DOI may work or IEEE-CS DOI may work. 0008 BibRef
Earlier: ICIP98(I: 535-539).
IEEE DOI may work or IEEE-CS DOI may work. 9810 BibRef

Chang, S.G., Yu, B.[Bin], Vetterli, M.,
Adaptive Wavelet Thresholding for Image Denoising and Compression,
IP(9), No. 9, September 2000, pp. 1532-1546.
IEEE DOI may work or IEEE-CS DOI may work. 0008 BibRef
Earlier:
Multiple copy image denoising via wavelet thresholding,
ICIP98(I: 545-549).
IEEE DOI may work or IEEE-CS DOI may work. 9810 BibRef
Earlier:
Image Denoising via Lossy Compression and Wavelet Thresholding,
ICIP97(I: 604-607).
IEEE DOI may work or IEEE-CS DOI may work. BibRef

Chang, S.G., and Vetterli, M.,
Spatial Adaptive Wavelet Thresholding for Image Denoising,
ICIP97(II: 374-377).
IEEE DOI may work or IEEE-CS DOI may work. BibRef 9700

Dasgupta, N.[Nilanjan], Runkle, P.[Paul], Couchman, L.[Luise], Carin, L.[Lawrence],
Dual hidden Markov model for characterizing wavelet coefficients from multi-aspect scattering data,
SP(81), No. 6, June 2001, pp. 1303-1316.
HTML Version. 0106 BibRef

Shi, Z.[Zhuoer], Wei, G.W., Kouri, D.J., Hoffman, D.K., Bao, Z.[Zheng],
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IP(10), No. 10, October 2001, pp. 1488-1508.
IEEE DOI may work or IEEE-CS DOI may work. 0110 BibRef

Liu, J.[Juan], Moulin, P.[Pierre],
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IP(10), No. 6, June 2001, pp. 841-851.
IEEE DOI may work or IEEE-CS DOI may work. 0106 BibRef
Earlier: ICIP97(II: 370-373).
IEEE DOI may work or IEEE-CS DOI may work. BibRef
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Complexity-regularized Denoising of Poisson-corrupted Data,
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IEEE Abstract. IEEE Top Reference. 0008 BibRef

Liu, J.[Juan], Moulin, P.,
Information-theoretic analysis of interscale and intrascale dependencies between image wavelet coefficients,
IP(10), No. 11, November 2001, pp. 1647-1658.
IEEE DOI may work or IEEE-CS DOI may work. 0201 BibRef
Earlier:
Approximation-Theoretic Analysis of Translation Invariant Wavelet Expansions,
ICIP01(I: 622-625).
IEEE Abstract. IEEE Top Reference. 0108 BibRef
And:
Statistical Image Restoration Based on Adaptive Wavelet Models,
ICIP01(II: 21-24).
IEEE Abstract. IEEE Top Reference. 0108 BibRef
Earlier:
Analysis of Interscale and Intrascale Dependencies Between Image Wavelet Coefficients,
ICIP00(Vol I: 669-672).
IEEE Abstract. IEEE Top Reference. 0008 BibRef
Earlier:
Complexity-regularized image restoration,
ICIP98(I: 555-559).
IEEE DOI may work or IEEE-CS DOI may work. 9810 BibRef

Simoncelli, E.P., and Olshausen, B.A.,
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AnnNeuro(24), May 2001, pp. 1193-1216 ICA. efficient coding, cortex, neurobiology,
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Hyvarinen, A.[Aapo], Hurri, J.[Jarmo], Vayrynen, J.[Jaakko],
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JOSA-A(20), No. 7, July 2003, pp. 1237-1252.
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Hurri, J.[Jarmo], Hyvarinen, A.[Aapo], and Oja, E.[Erkki],
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Lo, S.C.B., Li, H.[Huai], Freedman, M.T.,
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MedImg(22), No. 9, September 2003, pp. 1141-1151.
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Lo, S.C.B., Li, H.[Huai], Krasner, B.H., Freedman, M.T., Mun, S.K.,
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Li, X.[Xin],
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Ray, S., Mallick, B.K.,
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IP(12), No. 12, December 2003, pp. 1512-1521.
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Meignen, S.,
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IP(15), No. 2, February 2006, pp. 319-330.
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Bayro-Corrochano, E.[Eduardo],
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Chaux, C., Duval, L., Pesquet, J.C.,
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Alnasser, M., Foroosh, H.,
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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,
SSPR06(349-357).
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Abhayaratne, G.C.K.,
Reducing Aliasing in Wavelets Based Downsampling for Improved Resolution Scalability,
ICIP05(II: 898-901).
IEEE DOI may work or IEEE-CS DOI may work. 0512 BibRef

Deng, G.[Guang],
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ICIP05(I: 453-456).
IEEE DOI may work or IEEE-CS DOI may work. 0512 BibRef

Fletcher, A.K., Goyal, V.K., Rainchandran, K.,
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Atkinson, I., Kamulabadi, F., Mohan, S., Jones, D.L.,
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ICIP03(II: 141-144).
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Bastys, A.,
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ICIP03(I: 1017-1020).
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Ma, K., Tang, X.,
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ICIP01(II: 217-220).
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Dragotti, P.L.,
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ICIP00(Vol II: 363-366).
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Dragotti, P.L., Vetterli, M.,
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Sze, C.J., Liao, H.Y., Huang, S.K., Lu, C.S.,
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Wei, D., Evans, B.L., and Bovik, A.C.,
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ICIP97(II: 246-249).
IEEE DOI may work or IEEE-CS DOI may work.
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Moni, S.,
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ICIP97(II: 227-229).
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Cheung, K.W., and Po, L.M.,
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ICIP97(II: 350-353).
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Chao, J.J., and Lin, C.C.,
Sea Clutter Rejection in Radar Image Using Wavelets and Fractals,
ICIP97(II: 354-357).
IEEE DOI may work or IEEE-CS DOI may work. 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).
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Monro, D.M., and Sherlock, B.G.,
Space-Frequency Balance in Biorthogonal Wavelets,
ICIP97(I: 624-627).
IEEE DOI may work or IEEE-CS DOI may work. 9710 BibRef

Krongold, B., Ramchandran, K., and Jones, D.,
Frequency-Shift-Invariant Orthonormal Wavelet Packet Representations,
ICIP97(I: 628-631).
IEEE DOI may work or IEEE-CS DOI may work. BibRef 9700

Strobel, N., Mitra, S.K., and Manjunath, B.S.,
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ICIP97(I: 925-928).
IEEE DOI may work or IEEE-CS DOI may work.
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Ho, W., Chang, W.,
Wavelet Representation for Multigrid Computation in Surface Interpolation Problem,
ICPR96(I: 740-744).
IEEE DOI may work or IEEE-CS DOI may work. 9608(National Chiao-Tung Univ., ROC) BibRef

Sarkar, S.[Sandip], Poor, H.V.[H. Vincent],
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ICIP96(I: 589-592).
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Kautsky, J.[Jaroslav], Turcajová, R.[Radka],
Adaptive wavelets for signal analysis,
CAIP95(906-911).
WWW Version. 9509 BibRef

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 may work or IEEE-CS DOI may work. 9510 BibRef

Hall, R.W., Kucuk, S., and Hamdi, M.,
Wavelet Transform Embeddings in Mesh Architectures,
CVPR93(596-597).
IEEE Abstract. IEEE Top Reference. 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:Oct 1, 2008 at 09:28:47