4.10.1.2 Wavelets Filter Design, Bases, Basis, and Implementations

Chapter Contents (Back)
Wavelets. Implementation. Filters. For parallel and hardware implementations:
See also Wavelets Filters, Parallel, Hardware Implementations.

Shensa, M.J.,
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Coifman, R.R., and Wickerhauser, M.V.,
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Ramchandran, K., Vetterli, M.,
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Tay, D.B.H., Kingsbury, N.G.,
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Candčs, E.,
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Tay, D.B.H., Kingsbury, N.G., Palaniswami, M.,
Orthonormal Hilbert-Pair of Wavelets With (Almost) Maximum Vanishing Moments,
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Kingsbury, N.G.,
Design of Q-shift complex wavelets for image processing using frequency domain energy minimization,
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Tay, D.B.H.,
Analytical design of 3-D wavelet filter banks using the multivariate Bernstein polynomial,
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Tay, D.B.H.,
Two-stage, least squares design of biorthogonal filter banks,
VISP(149), No. 6, December 2002, pp. 341-346.
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Tay, D.B.H.,
Zero-Pinning the Bernstein Polynomial: A Simple Design Technique for Orthonormal Wavelets,
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Zalevsky, Z., Ouzieli, I., Mendlovic, D.,
Wavelet-Transform-Based Composite Filters for Invariant Pattern-Recognition,
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Lazar, M.S., Bruton, L.T.,
Combining the Discrete Wavelet Transform and Mixed-Domain Filtering,
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Lamarque, C.H., Robert, F.,
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Elsevier DOI 9608
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Olkkonen, H., Pesola, P.,
Gaussian Pyramid Wavelet Transform for Multiresolution Analysis of Images,
GMIP(58), No. 4, July 1996, pp. 394-398. 9609
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Basu, S., Levy, B.,
Multidimensional Filter Banks and Wavelets: Research Developments and Applications - Preface,
MultiSP(8), No. 1-2, January 1997, pp. 7-10. 9703
Special issue. BibRef

Park, H., Kalker, T., Vetterli, M.,
Grobner Bases and Multidimensional FIR Multirate Systems,
MultiSP(8), No. 1-2, January 1997, pp. 11-30. 9703
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Micchelli, C.A., Xu, Y.S.,
Reconstruction and Decomposition Algorithms for Biorthogonal Multiwavelets,
MultiSP(8), No. 1-2, January 1997, pp. 31-69. 9703
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Marshall, T.G.,
Zero-Phase Filter Bank and Wavelet Code R-Matrices: Properties, Triangular Decompositions, and a Fast Algorithm,
MultiSP(8), No. 1-2, January 1997, pp. 71-88. 9703
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And: Correction: MultiSP(8), No. 3, July 1997, pp. U2. BibRef

Fridman, J., Manolakos, E.S.,
On the Scalability of 2-D Discrete Wavelet Transform Algorithms,
MultiSP(8), No. 1-2, January 1997, pp. 185-217. 9703
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Vrhel, M.J., Lee, C., Unser, M.,
Fast Continuous Wavelet Transform: A Least-Squares Formulation,
SP(57), No. 2, March 1997, pp. 103-119. 9705
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Cooklev, T., Nishihara, A., Sablatash, M.,
Regular Orthonormal and Biorthogonal Wavelet Filters,
SP(57), No. 2, March 1997, pp. 121-137. 9705
BibRef

Cooklev, T.,
An Efficient Architecture for Orthogonal Wavelet Transforms,
SPLetters(13), No. 2, February 2006, pp. 77-79.
IEEE DOI 0602
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Watanabe, S.,
A Finite Wavelet Decomposition Method,
ECJ-III(80), No. 7, July 1997, pp. 1-10. 9708
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Zhang, X., Yoshikawa, T., Iwakura, H.,
Recursive Orthonormal Wavelet Bases with Vanishing Moments,
IEICE(E80-A), No. 8, August 1997, pp. 1472-1477. 9709
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He, W.J., Lai, M.J.,
Digital-Filters Associated with Bivariate Box Spline-Wavelets,
JEI(6), No. 4, October 1997, pp. 453-466. 9807
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Cho, C.S., Ha, S.W., Kim, J.C., Yoon, T.H., Nam, K.G.,
Optoelectronic Difference-of-Gaussian Wavelet Transform System,
OptEng(36), No. 12, December 1997, pp. 3471-3475. 9801
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Chan, S.C., Luo, Y., Ho, K.L.,
M-Channel Compactly Supported Biorthogonal Cosine-Modulated Wavelet Bases,
TSP(46), No. 4, April 1998, pp. 1142-1151. 9804
BibRef

Aldroubi, A., Abry, P., Unser, M.,
Construction Of Biorthogonal Wavelets Starting from Any 2 Multiresolutions,
TSP(46), No. 4, April 1998, pp. 1130-1133. 9804
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Jiang, Q.T.,
Orthogonal Multiwavelets with Optimum Time-Frequency Resolution,
TSP(46), No. 4, April 1998, pp. 830-844. 9804
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Faugere, J.C., de Saint-Martin, F.M., Rouillier, F.,
Design Of Regular Nonseparable Bidimensional Wavelets Using Grobner Basis Techniques,
TSP(46), No. 4, April 1998, pp. 845-856. 9804
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Polyak, N., Pearlman, W.A.,
Filters and Filter Banks for Periodic Signals, the Zak Transform, and Fast Wavelet Decomposition,
TSP(46), No. 4, April 1998, pp. 857-873. 9804
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Earlier:
Wavelet decomposition and reconstruction using arbitrary kernels: a new approach,
ICIP98(III: 866-870).
IEEE DOI 9810
BibRef
Earlier: ICIP97(I: 660-662).
IEEE DOI BibRef

Zurbenko, I.G., Porter, P.S.,
Construction of High Resolution Wavelets,
SP(65), No. 2, March 1998, pp. 315-327. 9806
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Liu, L.T., Hsu, H.T., Gao, B.X.,
A New Family of Orthonormal Wavelet Bases,
Geodesy(72), No. 5, May 1998, pp. 294-303. 9807
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Chen, G.Y.[Guang-Yi], Bui, T.D.[Tien D.],
Invariant Fourier-wavelet descriptor for pattern recognition,
PR(32), No. 7, July 1999, pp. 1083-1088.
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Chen, G.Y., Bhattacharya, P.,
Invariant Texture Classification Using Ridgelet Packets,
ICPR06(II: 464-467).
IEEE DOI 0609
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Chen, G.Y.[Guang-Yi], Bui, T.D.[Tien D.], Krzyzak, A.,
Invariant Ridgelet-Fourier Descriptor for Pattern Recognition,
ICPR06(II: 768-771).
IEEE DOI 0609
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Donoho, D.L.[David L.],
Wavelet Shrinkage: Asymptopia?,
RoyalStat(B-57), No. 2, 1995, pp. 301-369. BibRef 9500

Donoho, D.L., Johnstone, I.M.,
Ideal spatial adaptation via wavelets shrinkage,
Biometrika(81), 1994, pp. 425-455.
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See also DCT image denoising: a simple and effective image denoising algorithm. BibRef 9400

Donoho, D.L., Johnstone, I.M.,
Adapting to unknown smoothness via wavelets shrinkage,
ASAJ(90), No. 432, 1995, pp. 1200-1224. BibRef 9500

Donoho, D.L.[David L.], Duncan, M.R.[Mark Reynold], Huo, X.M.[Xiao-Ming], Levi, O.[Ofer],
Wavelab,
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WWW Link. Code, Wavelets. Code, Wavelets, Matlab. A collection of Matlab functions to implement various algorithms for wavelet analysis. BibRef 9900

Chang, L.W.[Long-Wen], Shen, Y.E.[Yuh-Erl],
Numerical solutions for orthogonal wavelet filters by Newton method,
SP:IC(14), No. 10, August 1999, pp. 879-887.
Elsevier DOI BibRef 9908

Xiong, H., Zhang, T., Moon, Y.S.,
A Translation- and Scale-Invariant Adaptive Wavelet Transform,
IP(9), No. 12, December 2000, pp. 2100-2108.
IEEE DOI 0011

See also Comments on A translation- and scale-invariant adaptive wavelet transform. BibRef

Zhao, Y., Swamy, M.N.S.,
New technique for designing nearly-orthogonal wavelet filter banks with linear phase,
VISP(147), No. 6, December 2000, pp. 527-533. 0101
BibRef

Selesnick, I.W.,
Hilbert transform pairs of wavelet bases,
SPLetters(8), No. 6, June 2001, pp. 170-173.
IEEE Top Reference. 0106
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Attakitmongcol, K., Hardin, D.P., Wilkes, D.M.,
Multiwavelet prefilters-part II: optimal orthogonal prefilters,
IP(10), No. 10, October 2001, pp. 1476-1487.
IEEE DOI 0110
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Jones, E.[Eric], Runkle, P.[Paul], Dasgupta, N.[Nilanjan], Couchman, L.[Luise], Carin, L.[Lawrence],
Genetic Algorithm Wavelet Design for Signal Classification,
PAMI(23), No. 8, August 2001, pp. 890-895.
IEEE DOI 0109
Design of wavelet filters using a genetic algorithm. BibRef

Zervas, N.D., Anagnostopoulos, G.P., Spiliotopoulos, V., Andreopoulos, Y., Goutis, C.E.,
Evaluation of design alternatives for the 2-D-discrete wavelet transform,
CirSysVideo(11), No. 12, December 2001, pp. 1246-1262.
IEEE Top Reference. 0201
BibRef

Andreopoulos, Y.[Yiannis], van der Schaar, M.[Mihaela],
Incremental Refinement of Computation for the Discrete Wavelet Transform,
ICIP07(IV: 53-56).
IEEE DOI 0709
BibRef

Andreopoulos, Y., Zervas, N.D., Lafruit, G., Schelkens, P., Stouraitis, T., Goutis, C.E., Cornelis, J.P.H.,
A Local Wavelet Transform Implementation Versus an Optimal Row-column Algorithm for the 2-D Multilevel Decomposition,
ICIP01(III: 330-333).
IEEE DOI 0108
BibRef

Munteanu, A.[Adrian], Surdu, O.M.[Oana Maria], Cornelis, J.P.H.[Jan P.H.], Schelkens, P.[Peter],
Segmentation-Driven Direction-Adaptive Discrete Wavelet Transform,
ICIP07(I: 437-440).
IEEE DOI 0709
BibRef

van der Auwera, G., Munteanu, A., Cornelis, J.P.H.,
Evaluation of a Quincunx Wavelet Filter Design Approach for Quadtree-based Embedded Image Coding,
ICIP00(Vol III: 190-193).
IEEE DOI 0008
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Vandergheynst, P., Gobbers, J.F.,
Directional dyadic wavelet transforms: design and algorithms,
IP(11), No. 4, April 2002, pp. 363-372.
IEEE DOI 0205
BibRef

Özkaramanli, H.[Hüseyin], Bhatti, A.[Asim], Bilgehan, B.[Bulent],
Multi-wavelets from B-spline super-functions with approximation order,
SP(82), No. 8, August 2002, pp. 1029-1046.
Elsevier DOI 0206
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Özkaramanli, H.[Hüseyin],
Unified approach for constructing multiwavelets with approximation order using refinable super-functions,
VISP(150), No. 3, June 2003, pp. 143-152.
IEEE Abstract. 0308
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Kharitonenko, I., Zhang, X.[Xing], Twelves, S.,
A wavelet transform with point-symmetric extension at tile boundaries,
IP(11), No. 12, December 2002, pp. 1357-1364.
IEEE DOI 0301
BibRef

Kharitonenko, I., Zhang, X.,
A Low Complexity Wavelet Transform with Point-symmetric Extension at Tile Boundaries,
ICIP01(II: 269-272).
IEEE DOI 0108
BibRef

Do, M.N., Vetterli, M.,
The finite ridgelet transform for image representation,
IP(12), No. 1, January 2003, pp. 16-28.
IEEE DOI 0301
BibRef

Liebling, M., Blu, T., Unser, M.,
Fresnelets: new multiresolution wavelet bases for digital holography,
IP(12), No. 1, January 2003, pp. 29-43.
IEEE DOI 0301
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Nealand, J.H., Bradley, A.B., Lech, M.,
Overlap-save convolution applied to wavelet analysis,
SPLetters(10), No. 2, February 2003, pp. 47-49.
IEEE Top Reference. 0301
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Hsung, T.C., Lun, D.P.K.,
Boundary filter design for multiwavelets,
VISP(149), No. 5, October 2002, pp. 315-320.
IEEE Top Reference. 0304
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Hsung, T.C., Sun, M.C., Lun, D.P.K., Siu, W.C.,
Symmetric prefilters for multiwavelets,
VISP(150), No. 1, February 2003, pp. 59-68.
IEEE Top Reference. 0304
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Tian, J.[Jun],
Comments on 'A translation- and scale-invariant adaptive wavelet transform',
IP(12), No. 9, September 2003, pp. 1091-1093.
IEEE DOI 0308

See also Translation- and Scale-Invariant Adaptive Wavelet Transform, A. BibRef

Bala, E., Cetin, A.E.,
Computationally Efficient Wavelet Affine Invariant Functions for Shape Recognition,
PAMI(26), No. 8, August 2004, pp. 1095-1099.
IEEE Abstract. 0407
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Earlier:
Computationally efficient wavelet affine invariant functions for 2D object recognition,
ICIP03(I: 1061-1064).
IEEE DOI 0312
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Lam, E.Y.,
Statistical modelling of the wavelet coefficients with different bases and decomposition levels,
VISP(151), No. 3, June 2004, pp. 203-206.
IEEE Abstract. 0409
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Ates, H.F.[Hasan F.], Orchard, M.T.[Michael T.],
An adaptive edge model in the wavelet domain for wavelet image coding,
SP:IC(20), No. 2, February 2005, pp. 169-185.
Elsevier DOI 0501
BibRef
Earlier:
Nonlinear modeling of wavelet coefficients around edges,
ICIP03(I: 641-644).
IEEE DOI 0312
BibRef

Ates, H.F.[Hasan F.], Orchard, M.T.[Michael T.],
Spherical Coding Algorithm for Wavelet Image Compression,
IP(18), No. 5, May 2009, pp. 1015-1024.
IEEE DOI 0904
BibRef
Earlier:
Wavelet Image Coding Using the Spherical Representation,
ICIP05(I: 89-92).
IEEE DOI 0512
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Fernandes, F.C.A., van Spaendonck, R.L.C., Burrus, C.S.,
Multidimensional, Mapping-Based Complex Wavelet Transforms,
IP(14), No. 1, January 2005, pp. 110-124.
IEEE DOI 0501
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Fernandes, F.C.A., van Spaendonck, R.L.C., Burrus, C.S.,
A Directional, Shift-insensitive, Low-redundancy, Wavelet Transform,
ICIP01(I: 618-621).
IEEE DOI 0108
BibRef

van Spaendonck, R.L.C.,
Non-redundant, Directionally Selective, Complex Wavelets,
ICIP00(Vol II: 379-382).
IEEE DOI 0008
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Feilner, M., van de Ville, D., Unser, M.,
An Orthogonal Family of Quincunx Wavelets With Continuously Adjustable Order,
IP(14), No. 4, April 2005, pp. 499-510.
IEEE DOI 0501
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Unser, M., van de Ville, D.,
The Pairing of a Wavelet Basis With a Mildly Redundant Analysis via Subband Regression,
IP(17), No. 11, November 2008, pp. 1-13.
IEEE DOI 0810
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van de Ville, D., Unser, M.,
Complex Wavelet Bases, Steerability, and the Marr-Like Pyramid,
IP(17), No. 11, November 2008, pp. 1-1.
IEEE DOI 0810
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Unser, M., Chenouard, N., van de Ville, D.,
Steerable Pyramids and Tight Wavelet Frames in L_2(BBR^d),
IP(20), No. 10, October 2011, pp. 2705-2721.
IEEE DOI 1110
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Chenouard, N., Unser, M.,
3D Steerable Wavelets in Practice,
IP(21), No. 11, November 2012, pp. 4522-4533.
IEEE DOI 1210
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Unser, M.[Michael], Chenouard, N.[Nicolas],
A Unifying Parametric Framework for 2D Steerable Wavelet Transforms,
SIIMS(6), No. 1, 2013, pp. 102-135.
DOI Link 1304
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Sarukhanyan, H.[Hakob], Petrosian, A.[Arthur],
Construction and Application of Hybrid Wavelet and Other Parametric Orthogonal Transforms,
JMIV(23), No. 1, July 2005, pp. 25-46.
Springer DOI 0505
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Fowler, J.E.,
The Redundant Discrete Wavelet Transform and Additive Noise,
SPLetters(12), No. 9, September 2005, pp. 629-632.
IEEE DOI 0508
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Li, H., Liu, G., Zhang, Z.,
Optimization of Integer Wavelet Transforms Based on Difference Correlation Structures,
IP(14), No. 11, November 2005, pp. 1831-1847.
IEEE DOI 0510
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Kamstra, L.[Lute],
Nonlinear Discrete Wavelet Transforms over Finite Sets and an Application to Binary Image Compression,
JMIV(23), No. 3, November 2005, pp. 321-343.
Springer DOI 0510
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Earlier:
The design of linear binary wavelet transforms and their application to binary image compression,
ICIP03(III: 241-244).
IEEE DOI 0312
BibRef
Earlier:
Nonlinear binary wavelet transforms and their application to binary image compression,
ICIP02(III: 593-596).
IEEE DOI 0210
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Ahuja, N., Lertrattanapanich, S., Bose, N.K.,
Properties determining choice of mother wavelet,
VISP(152), No. 5, October 2005, pp. 659-664.
DOI Link 0512
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Chen, H.W., Olson, T.,
New aggressive way to search for the best base in wavelet packets,
VISP(152), No. 6, December 2005, pp. 827-836.
DOI Link 0512
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Ramos Terrades, O., Valveny, E.,
A new use of the ridgelets transform for describing linear singularities in images,
PRL(27), No. 6, 15 April 2006, pp. 587-596.
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And:
Local norm features based on ridgelets transform,
ICDAR05(II: 700-704).
IEEE DOI 0508
Ridgelets transform, Wavelets transform, Radon transform, Graphics recognition, Symbol recognition 0604
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Eslami, R.[Ramin], Radha, H.[Hayder],
A New Family of Nonredundant Transforms Using Hybrid Wavelets and Directional Filter Banks,
IP(16), No. 4, April 2007, pp. 1152-1167.
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And:
Regular Hybrid Wavelets and Directional Filter Banks: Extensions and Applications,
ICIP06(1609-1612).
IEEE DOI 0610
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Earlier:
New Image Transforms Using Hybrid Wavelets and Directional Filter Banks: Analysis and Design,
ICIP05(I: 733-736).
IEEE DOI 0512

See also Translation-Invariant Contourlet Transform and Its Application to Image Denoising. BibRef

Eslami, R.[Ramin], Wu, X.L.[Xiao-Lin],
Video denoising using 3-D Hybrid Wavelets and Directional filter banks,
ICIP08(2340-2343).
IEEE DOI 0810
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Carré, P.[Philippe], Andres, E.[Eric],
Discrete analytical ridgelet transform,
SP(84), No. 11, November 2004, pp. xx-yy. BibRef 0411

Helbert, D.[David], Carré, P.[Philippe], Andres, E.[Eric],
3-D Discrete Analytical Ridgelet Transform,
IP(15), No. 12, December 2006, pp. 3701-3714.
IEEE DOI 0611
Use Fourier to comput Radon BibRef

Starck, J.L., Fadili, J.M., Murtagh, F.,
The Undecimated Wavelet Decomposition and its Reconstruction,
IP(16), No. 2, February 2007, pp. 297-309.
IEEE DOI 0702

See also Wavelets, Ridgelets, and Curvelets for Poisson Noise Removal. BibRef

Olkkonen, H., Olkkonen, J.T., Pesola, P.,
FFT-Based Computation of Shift Invariant Analytic Wavelet Transform,
SPLetters(14), No. 3, March 2007, pp. 177-180.
IEEE DOI 0703
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Liu, Z.D.[Zai-De], Zheng, N.N.[Nan-Ning],
Parametrization construction of biorthogonal wavelet filter banks for image coding,
SIViP(1), No. 1, April 2007, pp. 63-76.
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Earlier:
Parametrization Construction of Integer Wavelet Transforms for Embedded Image Coding,
IWICPAS06(435-445).
Springer DOI 0608
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Liu, Z.D.[Zai-De], Gao, C.X.[Cheng-Xiu],
Construction of parametric biorthogonal wavelet filter banks with two parameters for image coding,
SIViP(2), No. 3, September 2008, pp. xx-yy.
Springer DOI 0804
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Lin, J.Y.[Jian-Yu], Smith, M.J.T.[Mark J. T.],
New Perspectives and Improvements on the Symmetric Extension Filter Bank for Subband/Wavelet Image Compression,
IP(17), No. 2, February 2008, pp. 177-189.
IEEE DOI 0801
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Earlier:
Cyclic Filter Bank Implementations of Symmetric Extension for Subband/Wavelet Image Compression,
ICIP07(I: 429-432).
IEEE DOI 0709
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Lin, J.Y.[Jian-Yu], Smith, M.J.T.[Mark J.T.],
Efficient Block-Based Frequency Domain Wavelet Transform Implementations,
IP(18), No. 8, August 2009, pp. 1717-1723.
IEEE DOI 0907
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Lin, J.Y.[Jian-Yu], Smith, M.J.T.[Mark J.T.],
A Two-Channel Overlapped Block Transform for Image Compression,
IP(19), No. 11, November 2010, pp. 3064-3071.
IEEE DOI 1011
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Lin, J.Y.[Jian-Yu], Smith, M.J.T.[Mark J.T.],
Two-Band Hybrid FIR-IIR Filters for Image Compression,
IP(20), No. 11, November 2011, pp. 3063-3072.
IEEE DOI 1110
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Mrazek, P.[Pavel], Weickert, J.[Joachim],
From two-dimensional nonlinear diffusion to coupled Haar wavelet shrinkage,
JVCIR(18), No. 2, April 2007, pp. 162-175.
Elsevier DOI 0711
Nonlinear diffusion, Wavelet shrinkage, Rotation invariance; Colour, Vector- and tensor-valued data BibRef

Chen, Y.J.[Yi-Jiao], Wang, Y.Y.[Yuan-Yuan],
Doppler embolic signal detection using the adaptive wavelet packet basis and neurofuzzy classification,
PRL(29), No. 10, 15 July 2008, pp. 1589-1595.
Elsevier DOI 0711
Adaptive wavelet packet basis, Decision score, Emboli detection, Neurofuzzy, Transcranial Doppler BibRef

Jiang, Q.,
Compactly Supported Orthogonal and Biorthogonal sqrt-5-Refinement Wavelets With 4-Fold Symmetry,
IP(17), No. 11, November 2008, pp. 1-1.
IEEE DOI 0810
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Wang, H.W.[Hua-Wei], Tang, K.[Kai],
Biorthogonal wavelet construction for hybrid quad/triangle meshes,
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Springer DOI 0903
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Bahrampour, A.R., Mirzaee, S.M.A.[S. Mohammad Ali],
A variational method for designing adaptive bandlimited wavelets,
SIViP(3), No. 4, December 2009, pp. xx-yy.
Springer DOI 0911
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Fujinoki, K.[Kensuke], Vasilyev, O.V.[Oleg V.],
Triangular Wavelets: An Isotropic Image Representation with Hexagonal Symmetry,
JIVP(2009), No. 2009, pp. xx-yy.
DOI Link 1002
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Tanaka, Y.[Yuichi], Hasegawa, M.[Madoka], Kato, S.[Shigeo], Ikehara, M.[Masaaki], Nguyen, T.Q.[Truong Q.],
Adaptive Directional Wavelet Transform Based on Directional Prefiltering,
IP(19), No. 4, April 2010, pp. 934-945.
IEEE DOI 1003
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Earlier:
Adaptive Directional-Wavelet Transform Using Pre-Directional Filtering,
ICIP09(1-4).
IEEE DOI 0911
BibRef

Tanaka, Y.[Yuichi], Ikehara, M.[Masaaki], Nguyen, T.Q.[Truong Q.],
A new combination of 1D and 2D filter banks for effective multiresolution image representation,
ICIP08(2820-2823).
IEEE DOI 0810
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Yang, J.Y.[Jing-Yu], Xu, W.L.[Wen-Li], Dai, Q.H.[Qiong-Hai],
Fast adaptive wavelet packets using interscale embedding of decomposition structures,
PRL(31), No. 11, 1 August 2010, pp. 1481-1486.
Elsevier DOI 1008
Basis selection, Adaptive wavelet packets, Anisotropic decomposition; Isotropic decomposition BibRef

Makaremi, I.[Iman], Ahmadi, M.[Majid],
Blur invariants: A novel representation in the wavelet domain,
PR(43), No. 12, December 2010, pp. 3950-3957.
Elsevier DOI 1003
Blur invariant moment, Direct analysis, Feature extraction, Wavelet transform BibRef

Makaremi, I.[Iman], Ahmadi, M.[Majid],
Wavelet-Domain Blur Invariants for Image Analysis,
IP(21), No. 3, March 2012, pp. 996-1006.
IEEE DOI 1203
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Makaremi, I.[Iman], Leboeuf, K.[Karl], Ahmadi, M.[Majid],
Wavelet Domain Blur Invariants for 1D Discrete Signals,
ICIAR11(I: 69-79).
Springer DOI 1106
BibRef

Tomassi, D., Milone, D.H., Forzani, L.,
Minimum classification error learning for sequential data in the wavelet domain,
PR(43), No. 12, December 2010, pp. 3998-4010.
Elsevier DOI 1003
Hidden Markov models, Hidden Markov trees, Discriminative training; Minimum classification error, Wavelet transform BibRef

Plonka, G., Tenorth, S., Rosca, D.,
A New Hybrid Method for Image Approximation Using the Easy Path Wavelet Transform,
IP(20), No. 2, February 2011, pp. 372-381.
IEEE DOI 1102
BibRef

Lisowska, A.[Agnieszka],
Moments-Based Fast Wedgelet Transform,
JMIV(39), No. 2, February 2011, pp. 180-192.
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Lee, D.U., Kim, L.W., Villasenor, J.D.,
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data compression BibRef

Roy, S.[Sanjit], Howlader, T.[Tamanna], Rahman, S.M.M.[S.M. Mahbubur],
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Multiscale and multidirectional tight frames for image analysis,
SPIE(Newsroom), May 29, 2013
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Hadmi, A.[Azhar], Puech, W.[William], Said, B.A.E.[Brahim Ait Es], Ouahman, A.A.[Abdellah Ait],
A robust and secure perceptual hashing system based on a quantization step analysis,
SP:IC(28), No. 8, 2013, pp. 929-948.
Elsevier DOI 1309
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Statistical analysis of the quantization stage of robust perceptual image hashing,
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IEEE DOI 1007
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Yang, H., Ying, L.,
Synchrosqueezed Wave Packet Transform for 2D Mode Decomposition,
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2D Empirical Transforms. Wavelets, Ridgelets, and Curvelets Revisited,
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Tay, D.B.H., Lin, Z., Murugesan, S.,
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Tay, D.B.H., Lin, Z.,
Design of Near Orthogonal Graph Filter Banks,
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Almost Tight Rational Coefficients Biorthogonal Wavelet Filters,
SPLetters(25), No. 6, June 2018, pp. 748-752.
IEEE DOI 1806
adders, channel bank filters, shift registers, wavelet transforms, adders, biorthogonal filters, biorthogonal wavelet filters, wavelets BibRef

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Gawande, J.P.[Jayanand P.], Rahulkar, A.D.[Amol D.], Holambe, R.S.[Raghunath S.],
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Elsevier DOI 1704
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Kumar, N.[Neeraj], Rai, N.K.[Naveen Kumar], Sethi, A.[Amit],
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SP:IC(66), 2018, pp. 87-94.
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Factoring two-dimensional two-channel non-separable stripe filter banks into lifting steps,
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IEEE DOI 1901
Image color analysis, Color, Wavelet transforms, Tools, Wavelet analysis, Gray-scale, Color wavelets, complementary color, filter banks BibRef

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Springer DOI 1911
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Arfaoui, S.[Sabrine], Ben Mabrouk, A.[Anouar], Cattani, C.[Carlo],
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Attenuation, Estimation, Continuous wavelet transforms, Q-factor, Time-frequency analysis, Inverse Q filtering, quality factor, synchrosqueezed wavelet transform (SSWT) BibRef

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Hardware, Discrete wavelet transforms, Delays, Time-frequency analysis, Adders, VLSI architecture BibRef

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Scattering, Wavelet transforms, Transforms, Training, Correlation, Wavelet analysis, Dimensionality reduction, Wavelet transforms, machine learning BibRef


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Wavelet Decomposition optimization via Exponential Decay Constraint for Compressively Sensed Image Reconstruction,
CVIDL20(160-164)
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compressed sensing, discrete wavelet transforms, image reconstruction, wavelet decomposition optimization BibRef

Bastidas Rodriguez, M.X., Gruson, A., Polanía, L.F., Fujieda, S., Ortiz, F.P., Takayama, K., Hachisuka, T.,
Deep Adaptive Wavelet Network,
WACV20(3100-3108)
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Wavelet transforms, Multiresolution analysis, Task analysis, Convolution, Adaptive systems, Neural networks BibRef

Recoskie, D., Mann, R.,
Learning Filters for the 2D Wavelet Transform,
CRV18(198-205)
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Discrete wavelet transforms, Convolution, Neural networks, Approximation algorithms, wavelets, filter banks BibRef

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ICIVC17(884-888)
IEEE DOI 1708
Complexity theory, Discrete wavelet transforms, dynamic time warping, early-abandon, filtering search, lower-bounding, time, series BibRef

Ali, H.H.S.M., Sharif, S.M.,
Computation reduction of haar wavelet coefficients,
ICIVC17(832-835)
IEEE DOI 1708
Multiresolution analysis, computing wavelet coefficients, conjugate filters, maximal overlap discrete wavelet transform, multiresolution, analysis BibRef

Regli, J.B., Nelson, J.D.B.,
Scattering convolutional hidden Markov trees,
ICIP16(1883-1887)
IEEE DOI 1610
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Introducing the locally stationary dual-tree complex wavelet model,
ICIP16(3583-3587)
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ICIP16(1529-1533)
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ICIP15(3725-3729)
IEEE DOI 1512
Quadrature Mirror Filter-bank, Wavelet Transform, time-frequency measure BibRef

Bahri, M., Ashimo, R.,
Convolution and correlation theorems for continuous reduced biquaternion wavelet transform,
ICWAPR15(81-86)
IEEE DOI 1511
wavelet transforms BibRef

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Comparing wavelet transform with proper orthogonal decomposition,
ICWAPR15(117-123)
IEEE DOI 1511
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Statistical properties of spherical wavelets systems,
ICIP14(6011-6015)
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Consideration of composing method of the optimized real-signal mother wavelet,
ICWAPR16(107-113)
IEEE DOI 1611
Continuous wavelet transforms BibRef

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High flexible orthonormal basis of wavelets and its Hilbert transform pair,
ICWAPR16(134-139)
IEEE DOI 1611
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Approximate tight wavelet frame using Gabor wavelet,
ICWAPR15(105-110)
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approximation theory BibRef

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ICWAPR14(170-175)
IEEE DOI 1402
Discrete wavelet transforms BibRef

Kato, T.[Takeshi], Zhang, Z.[Zhong], Toda, H.[Hiroshi], Imamura, T.[Takashi], Miyake, T.[Tetsuo],
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ICWAPR14(164-169)
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Image restoration with triangular orthogonal wavelets,
ICWAPR15(124-127)
IEEE DOI 1511
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ICWAPR14(159-163)
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ICWAPR15(99-104)
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ICWAPR14(140-145)
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frequency-domain analysis. Equations BibRef

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Hilbert transforms BibRef

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Filter coefficients of the fractional Hilbert transforms of biorthogonal wavelets,
ICWAPR14(134-139)
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Biorthogonal wavelets BibRef

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Fourier transforms BibRef

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ICWAPR16(140-145)
IEEE DOI 1611
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ICWAPR14(116-121)
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ICIP13(1651-1654)
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Unaldi, N.[Numan], Asari, V.K.[Vijayan K.],
Undecimated Wavelet Transform-Based Image Interpolation,
ISVC10(III: 474-483).
Springer DOI 1011
BibRef

Jing, M.L.[Ming-Li], Huang, H.[Hua], Liu, W.[WuLing], Qi, C.[Chun],
Orthogonal 4-tap integer multiwavelet transforms using matrix factorization,
ICIP10(393-396).
IEEE DOI 1009
BibRef

Papari, G.[Giuseppe], Campisi, P.[Patrizio], Petkov, N.[Nicolai],
Closed form of the steered elongated Hermite-Gauss wavelets,
ICIP10(377-380).
IEEE DOI 1009
BibRef

Kopenkov, V.N.[Vasiliy N.], Myasnikov, V.V.[Vladislav V.],
Research the Performance of a Recursive Algorithm of the Local Discrete Wavelet Transform,
ICPR10(4452-4455).
IEEE DOI 1008
BibRef

Baradarani, A.[Aryaz], Mendapara, P.[Pankajkumar], Wu, Q.M.J.[Q.M. Jonathan],
On the Design of a Class of Odd-Length Biorthogonal Wavelet Filter Banks for Signal and Image Processing,
ICPR10(2282-2285).
IEEE DOI 1008
BibRef

Bhavsar, J.K.[Jignesh K.], Mitra, S.K.[Suman K.],
Deriving Sparse Coefficients of Wavelet Pyramid Taking Clues from Hough Transform,
PReMI09(327-332).
Springer DOI 0912
BibRef

Vosoughi, A.[Arash], Shamsollahi, M.B.[Mohammad B.], Vosoughi, A.[Azadeh],
Nonsubsampled higher-density discrete wavelet transform: Filter design and application in image contrast enhancement,
ICIP09(3165-3168).
IEEE DOI 0911
BibRef

El-Shehaby, I.A.[Iman A.], Tran, T.D.[Trac D.],
Implementation and application of local computation of wavelet coefficients in the dual-tree complex wavelets,
ICIP09(3885-3888).
IEEE DOI 0911
BibRef

Kravchenko, V.[Victor], Meana, H.P.[Hector Perez], Ponomaryov, V.[Volodymyr], Churikov, D.[Dmitry],
Spectral Estimation of Digital Signals by the Orthogonal Kravchenko Wavelets {ha(t)~},
CIARP09(989-996).
Springer DOI 0911
BibRef

Ma, Q.[Qin], Mei, S.L.[Shu-Li], Zhu, D.H.[De-Hai],
Construction of Quasi Interval Wavelet Based on Constrained Variational Principle,
CISP09(1-5).
IEEE DOI 0910
BibRef

Xiao, H.Y.[Hong-Ying],
A Recursive Approach to Generate Univariate Orthonormal Wavelet,
CISP09(1-4).
IEEE DOI 0910
BibRef

Zhang, W.B.[Wen-Bin], Shen, L.[Lu], Li, J.S.[Jun-Sheng], Cai, Q.[Qun], Wang, H.J.[Hong-Jun],
Morphological Undecimated Wavelet Decomposition for Fault Feature Extraction of Rolling Element Bearing,
CISP09(1-5).
IEEE DOI 0910
BibRef

Liu, S.G.[Shu-Guang], Qu, P.G.[Ping-Ge],
Construction of Two Types of Wavelets Based on Edge Detector,
CISP09(1-4).
IEEE DOI 0910
BibRef

Wang, J.J.[Jin-Jun], Zhu, S.H.[Sheng-Huo], Gong, Y.H.[Yi-Hong],
Resolution-Invariant Image Representation and its applications,
CVPR09(2512-2519).
IEEE DOI 0906
Multiple resolution bases from training images, use to represent image. BibRef

Adams, M.D.[Michael D.],
On the coding gain of separable 2D wavelet filter banks,
ICIP08(1204-1207).
IEEE DOI 0810
BibRef

Patel, V.M.[Vishal M.], Easley, G.R.[Glenn R.], Healy, D.M.[Dennis M.],
A new multiresolution generalized directional filter bank design and application in image enhancement,
ICIP08(2816-2819).
IEEE DOI 0810
BibRef

Sigari, M.H.[Mohamad Hoseyn],
Best wavelength selection for Gabor wavelet using GA for EBGM algorithm,
ICMV07(35-39).
IEEE DOI 0712
BibRef

Byröd, M.[Martin], Josephson, K.[Klas], Ĺström, K.[Kalle],
A Column-Pivoting Based Strategy for Monomial Ordering in Numerical Gröbner Basis Calculations,
ECCV08(IV: 130-143).
Springer DOI 0810
BibRef
Earlier:
Improving Numerical Accuracy of Grobner Basis Polynomial Equation Solvers,
ICCV07(1-8).
IEEE DOI 0710
BibRef

Bede, B.[Barnabas], Nobuhara, H.[Hajime], Schwab, E.D.[Emil Daniel],
Multichannel Image Decomposition by using Pseudo-Linear Haar Wavelets,
ICIP07(VI: 17-20).
IEEE DOI 0709
BibRef

Zergainoh, A., Duhamel, P.,
Compactly Supported Non-Uniform Spline Wavelet for Irregularly Sub-Sampled Image Representation,
ICIP06(1621-1624).
IEEE DOI 0610
BibRef

Yin, X.X., Ng, B.W.H., Ferguson, B., Mickan, S.P., Abbott, D.,
Statistical Model for the Classification of the Wavelet Transforms of T-ray Pulses,
ICPR06(III: 236-239).
IEEE DOI 0609
BibRef

Huang, C.P.[Chin-Pan], Li, C.C.[Ching-Chung],
A Secret Image Sharing Method using Integer Multiwavelet Transform,
ICIP06(1969-1972).
IEEE DOI 0610
BibRef
Earlier:
A Secret Image Sharing Method Using Integer-to-Integer Wavelet Transform,
ICPR06(III: 802-805).
IEEE DOI 0609
BibRef

Amiri, M., Azimifar, Z., Fieguth, P.W.,
Correlated non-linear wavelet shrinkage,
ICIP08(2348-2351).
IEEE DOI 0810
BibRef

Azimifar, Z., Fieguth, P.W., Jernigan, E.,
Correlated Wavelet Shrinkage: Models of Local Random Fields Across Multiple Resolutions,
ICIP05(III: 157-160).
IEEE DOI 0512
BibRef
Earlier:
Wavelet Shrinkage with Correlated Wavelet Coefficients,
ICIP01(III: 162-165).
IEEE DOI 0108
BibRef

Martina, M., Masera, G.,
Low-Complexity, Efficient 9/7 Wavelet Filters Implementation,
ICIP05(III: 1000-1003).
IEEE DOI 0512
BibRef

Durand, S.,
Orthonormal Bases of Non-Separable Wavelets with Sharp Directions,
ICIP05(I: 449-452).
IEEE DOI 0512
BibRef

Chan, W.L.[Wai Lam], Choi, H.H.[Hyeok-Ho], Baraniuk, R.G.,
Quaternion wavelets for image analysis and processing,
ICIP04(V: 3057-3060).
IEEE DOI 0505
BibRef

van de Ville, D., Blu, T., Forster, B., Unser, M.,
Isotropic-polyharmonic B-splines and wavelets,
ICIP04(I: 661-664).
IEEE DOI 0505
BibRef

Kutil, R.,
Anisotropic 3-d wavelet packet bases for video coding,
ICIP03(II: 73-76).
IEEE DOI 0312
BibRef

Care, P., Helbert, D., Andres, E.,
3-D fast ridgelet transform,
ICIP03(I: 1021-1024).
IEEE DOI 0312
BibRef

Cho, S.Y.[Seong-Yun], Han, S.Y.[Su-Young],
Coefficient Partitioning Scanning Order Wavelet Packet Algorithm for Satellite Images,
CAIP03(278-284).
Springer DOI 0311
BibRef

Wang, H.J.[Hong-Jian], Chen, T.[Tao], Peng, S.L.[Si-Long],
A novel method for designing adaptive compaction orthogonal wavelet filter banks,
ICIP03(I: 1041-1044).
IEEE DOI 0312
BibRef

Kim, H.C.[Hyung Cook], Delp, E.J.,
A comparison of fixed-point 2D 9x7 discrete wavelet transform implementations,
ICIP02(I: 389-392).
IEEE DOI 0210
BibRef

Zhou, D., DeBrunner, V., Havlicek, J.P.,
A spatially selective filter based on the undecimated wavelet transform that is robust to noise estimation error,
Southwest04(162-166).
IEEE DOI 0411
BibRef

Tay, P.C., Havlicek, J.P.,
Frequency implementation of discrete wavelet transforms,
Southwest04(167-171).
IEEE DOI 0411
BibRef

Tay, P.C., Havlicek, J.P.,
Joint uncertainty measures for maximally decimated M-channel prime factor cascaded wavelet filter banks,
ICIP03(I: 1033-1036).
IEEE DOI 0312
BibRef

Tay, P.C., Havlicek, J.P., DeBrunner, V.,
A wavelet filter bank which minimizes a novel translation invariant discrete uncertainty measure,
Southwest02(173-177).
IEEE Top Reference. 0208
BibRef

Law, N.F., Liew, A.W.C., Siu, W.C.,
Fast Algorithm for Binary Field Wavelet Transform for Image Processing,
ICIP01(II: 281-284).
IEEE DOI 0108
BibRef

Carré, P.[Philippe], Andres, E., Fernandez-Maloigne, C.[Christine],
Discrete Rotation for Directional Orthogonal Wavelet Packets,
ICIP01(II: 257-260).
IEEE DOI 0108
BibRef

Hawwar, Y., Reza, A.,
Nonlinear Filtering in the Wavelet Transform Domain,
ICIP00(Vol III: 266-269).
IEEE DOI 0008
BibRef

Monro, D.,
Visual Embedding of Wavelet Transform Coefficients,
ICIP00(Vol III: 186-189).
IEEE DOI 0008
BibRef

Kacker, D., Ufak Agar, A., Allebach, J.P., Lucier, B.J.,
Wavelet decomposition based representation of nonlinear color transformations and comparison with sequential linear interpolation,
ICIP98(I: 186-190).
IEEE DOI 9810
BibRef

Karam, L.J.[Lina J.],
Design of Complex Multi-Dimensional FIR Filters by Transformation,
ICIP96(I: 573-576).
IEEE DOI BibRef 9600

Srinivasan, S.[Sridhar],
Design of Optimal Cascaded Multirate Filter Banks in the Presence of Quantization,
ICIP96(I: 617-620).
IEEE DOI BibRef 9600

Zervakis, M.E., Kwon, T.M.[Taek Mu], Savakis, A.E.,
Operator decomposition using the wavelet transform: Fundamental properties and image restoration applications,
ICIP94(I: 56-60).
IEEE DOI 9411
BibRef

Lau, P., Papanikolopoulos, N.P., Boley, D.L.,
A note on the Gabor-QR decomposition,
ICIP94(I: 815-819).
IEEE DOI 9411
BibRef

Chapter on Computational Vision, Regularization, Connectionist, Morphology, Scale-Space, Perceptual Grouping, Wavelets, Color, Sensors, Optical, Laser, Radar continues in
Wavelets Filters, Parallel, Hardware Implementations .


Last update:Mar 16, 2024 at 20:36:19