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biorthogonal wavelets (181) 181
mathematics, applied (148) 148
wavelet transforms (117) 117
wavelet (113) 113
engineering, electrical & electronic (111) 111
biorthogonal (110) 110
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construction (106) 106
wavelet analysis (105) 105
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wavelets (93) 93
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mathematical analysis (57) 57
image coding (54) 54
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lifting scheme (49) 49
design (45) 45
biorthogonal wavelet transform (40) 40
image processing (40) 40
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signal processing (38) 38
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refinable functions (37) 37
computer science (35) 35
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filters (34) 34
image reconstruction (33) 33
wavelet transform (33) 33
research (32) 32
mathematics, general (31) 31
transforms (30) 30
discrete wavelet transform (29) 29
frames (29) 29
images (29) 29
regularity (29) 29
biorthogonal multiwavelets (28) 28
computer science, software engineering (28) 28
fourier transforms (25) 25
methods (25) 25
applied mathematics (24) 24
compression (24) 24
decomposition (24) 24
interpolation (24) 24
usage (24) 24
compactly supported wavelets (23) 23
physics, mathematical (23) 23
polynomials (23) 23
time frequency analysis (23) 23
engineering (22) 22
signal, image and speech processing (22) 22
stability (22) 22
studies (22) 22
transform (22) 22
banks (21) 21
computer science, artificial intelligence (21) 21
vanishing moments (21) 21
interval (20) 20
spaces (20) 20
splines (20) 20
42c40 (18) 18
multiwavelets (18) 18
numerical analysis (18) 18
reconstruction (18) 18
watermarking (18) 18
algebra (17) 17
biorthogonal filter banks (17) 17
computer science, information systems (17) 17
finite impulse response filter (17) 17
mathematics, interdisciplinary applications (17) 17
scheme (17) 17
signal analysis (17) 17
wavelet-transformation (17) 17
applications of mathematics (16) 16
feature extraction (16) 16
fourier analysis (16) 16
optimization (16) 16
psnr (16) 16
sobolev spaces (16) 16
subdivision schemes (16) 16
telecommunications (16) 16
biorthogonal wavelet bases (15) 15
image fusion (15) 15
accuracy (14) 14
biomedical imaging (14) 14
biorthogonal filter bank (14) 14
computer simulation (14) 14
l-2 (14) 14
low pass filters (14) 14
matrix extension (14) 14
partial differential equations (14) 14
robustness (14) 14
smoothness (14) 14
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Numerical Functional Analysis and Optimization, ISSN 0163-0563, 07/2012, Volume 33, Issue 7-9, pp. 1031 - 1062
Quaternion-valued functions have been used as a model for colour images and have recently been studied using various Fourier-type transforms. We develop some... 
Orthogonal Wavelets | Secondary 94A12 | Quaternions | Biorthogonal Wavelets | Primary 42C40 | Color Images | Fourier Transform | MATHEMATICS, APPLIED | ORTHONORMAL BASES
Journal Article
Chaos, Solitons and Fractals, ISSN 0960-0779, 2007, Volume 31, Issue 4, pp. 1024 - 1034
In this paper, vector-valued multiresolution analysis and orthogonal vector-valued wavelets are introduced. The definition for orthogonal vector-valued wavelet... 
HILBERT | SPACE | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | PHYSICS, MULTIDISCIPLINARY | BIORTHOGONAL MULTIWAVELETS | PHYSICS, MATHEMATICAL | IMAGE COMPRESSION | Analysis | Algorithms
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 03/2019, Volume 344-345, pp. 204 - 218
For a given symmetric refinable mask obeying the sum rule of order n, an explicit method is suggested for the construction of mutually symmetric almost... 
Frames | Lifting Scheme | Multivariate wavelets | Symmetry | AFFINE SYSTEMS | MATHEMATICS, APPLIED | BASES | CONSTRUCTION | GENERAL DILATION MATRIX | BIORTHOGONAL WAVELETS | L-2(R-D)
Journal Article
IEEE Transactions on Visualization and Computer Graphics, ISSN 1077-2626, 09/2007, Volume 13, Issue 5, pp. 914 - 925
Journal Article
Signal Processing, ISSN 0165-1684, 06/2017, Volume 135, pp. 107 - 120
The accurate and efficient representation of a signal in terms of elementary atoms has been a challenge in many signal processing applications including... 
Parametrization | Image coding | Joint time–frequency localization | Biorthogonal wavelet bases | LOCALIZATION | UNCERTAINTY PRINCIPLE | FILTER BANKS | BANDWIDTH | Joint time-frequency localization | TRANSFORMS | ENGINEERING, ELECTRICAL & ELECTRONIC | Electrical engineering | Signal processing | Analysis | Methods | Banks (Finance)
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 07/2018, Volume 336, pp. 72 - 97
Journal Article
Digital Signal Processing, ISSN 1051-2004, 04/2016, Volume 51, pp. 202 - 222
Journal Article
Signal Processing, ISSN 0165-1684, 05/2017, Volume 134, pp. 87 - 99
We present a design of a new class of compactly supported antisymmetric biorthogonal wavelet filter banks which have the analysis as well as the synthesis... 
Biorthogonal filter banks | Duration-bandwidth localization | Image coding | Antisymmetric wavelets | DESIGN | UNCERTAINTY PRINCIPLE | ENGINEERING, ELECTRICAL & ELECTRONIC | Banks (Finance) | Analysis
Journal Article
Mathematical Methods in the Applied Sciences, ISSN 0170-4214, 06/2019, Volume 42, Issue 9, pp. 3255 - 3271
Curve multiresolution processing techniques have been widely discussed in the study of subdivision schemes and many applications, such as surface progressive... 
multiresolution processing | ternary wavelet | biorthogonal ternary wavelet | template‐based procedure | template-based procedure | INTERPOLATION | SCHEME | MATHEMATICS, APPLIED | Wavelet | Algorithms | Smoothness | Symmetry
Journal Article
Journal of Communications Technology and Electronics, ISSN 1064-2269, 12/2014, Volume 59, Issue 12, pp. 1434 - 1439
Journal Article
International Journal of Computer Mathematics, ISSN 0020-7160, 03/2011, Volume 88, Issue 5, pp. 1024 - 1034
Suppose N m (x) is the B-spline function of order m. An explicit construction algorithm for the wavelet with symmetry associated with N m (x) is presented,... 
B-spline wavelet | dual wavelet | symmetry | regularity | 94A12 | 42C15 | vanishing moment | ORDER | MATHEMATICS, APPLIED | FRAMES | REFINABLE FUNCTIONS | BIORTHOGONAL WAVELETS | APPROXIMATION PROPERTIES | Wavelet | Construction | Algorithms | Approximation | Mathematical analysis | Images | Mathematical models | Regularity | Symmetry
Journal Article
Journal of Inequalities and Applications, ISSN 1029-242X, 12/2019, Volume 2019, Issue 1, pp. 1 - 15
The family of exponential pseudo-splines is the non-stationary counterpart of the pseudo-splines and includes the exponential B-spline functions as special... 
Exponential pseudo-splines | Pseudo-splines | Analysis | Mathematics, general | Mathematics | Applications of Mathematics | Vanishing moments | Coifman biorthogonal wavelets | MATHEMATICS | MATHEMATICS, APPLIED | SUBDIVISION SCHEMES | EXPONENTIAL POLYNOMIALS | REPRODUCTION | Wavelet analysis | B spline functions | Stability analysis | Masks | Multiresolution analysis
Journal Article
Applied and Computational Harmonic Analysis, ISSN 1063-5203, 11/2019, Volume 47, Issue 3, pp. 759 - 794
Journal Article
Collectanea Mathematica, ISSN 0010-0757, 1/2015, Volume 66, Issue 1, pp. 33 - 53
We provide a characterization of wavelets on local fields of positive characteristic based on results on affine and quasi-affine frames. This result... 
Dimension function | Mathematics | Bessel family | Multiresolution analysis | Quasi-affine frame | 43A70 | Geometry | Wavelet | Algebra | Local field | Analysis | Primary 42C40 | 11S85 | Applications of Mathematics | Secondary 42C15 | Affine frame | MATHEMATICS, APPLIED | CANTOR DYADIC GROUP | ABELIAN-GROUPS | ORTHOGONAL WAVELETS | MATHEMATICS | SHIFT-INVARIANT SUBSPACES | FRAMES | BIORTHOGONAL WAVELETS
Journal Article
Information Security Journal: A Global Perspective, ISSN 1939-3555, 01/2020, Volume 29, Issue 1, pp. 40 - 50
In recent years, information security over the internet has gained enormous immersion due to a technological escalation in communication via digital media.... 
DWT | Haar | video steganography | Biorthogonal wavelets | orthogonal wavelets | Daubechies | Wavelet transforms | Steganography | Histograms | Video communication | Digital media | Algorithms | Wave filters | Submerging | Wavelet analysis | Discrete Wavelet Transform
Journal Article
Advances in Computational Mathematics, ISSN 1019-7168, 2/2011, Volume 34, Issue 2, pp. 219 - 252
Journal Article
Journal of Inequalities and Applications, ISSN 1025-5834, 12/2017, Volume 2017, Issue 1, pp. 1 - 10
A class of 4-band symmetric biorthogonal wavelet bases has been constructed, in which any wavelet system the high-pass filters can be determined by exchanging... 
42C40 | symmetry | Analysis | Mathematics, general | vanishing movement | Mathematics | circular matrix | Applications of Mathematics | 42A16 | biorthogonal wavelets | multi-band wavelets | MATHEMATICS | MATHEMATICS, APPLIED | DESIGN | FILTERS | Wavelet | Low pass filters | Wave filters | Research
Journal Article
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