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| Tang Y.Y., Yang L.H., Liu J. — Wavelet theory and Its application to pattern recognition |
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| Предметный указатель |
 function, fast decreasing 90
Admissibility, admissible wavelet 53
Admissibility, condition 53
B-spline 121 285
Bank cheque 267
Basic condition 106
Basic condition A 98 106
Basic condition I 98 106
Basic condition M 106
Basic smooth condition 121 122
Basic wavelet 53 61 63 66 76
Basic window, center of 56
Basic window, radius of 56
Biorthonormality 87
cardinal splines 159
Cascade algorithm 94
Character processing 285
Characteristic function 115
Class function 317
Classification 39
Classifier design 315
Classifier design, minimum average lose 319
Classifier design, minimum error-probability 321
Cluster analysis 40
Decision function 316
Dilation 54
Document analysis 45
Downsample 129
Edge detection 179
Edge of a signal 180
Edge pixel 184
Edge roof 204 207 214
Edge step 204 207 213
Edge, Dirac 204 207 214
Estimator, density 324
Estimator, kernel 324
Euler — Frobenius polynomials 162 171
Face recognition 21
Filter function 86
form analysis 273
Fourier transform 53
Frequency window 56
Gaussian 58
Generalized function, slowly increasing 90
Generalized function, support of 95
Hadamard representation 45
Handprinted character 31
Heisenberg 58
Invariant moment 26
Invariant representation 25
Invariant, rotation- 25 36
Invariant, scale- 27
Limit function 98 106
Linear phase 71
Linear phase, generalized 71
Lipschitz exponent 73 203 205
Lipschitz regularity 72 204
Lipschitz regularity, uniformly 72 73 203
Mallat algorithm 126
Mallat algorithm, decomposition 127 128
| Mallat algorithm, discrete form 128
Mallat algorithm, reconstruction 127 129
Mask 86
Matrix 113
Matrix, eigenpolynomial of 113
Matrix, eigenvalue of 113
Matrix, eigenvector of 113 119
MRA 85
Multiresolution analysis 83 85
Multiresolution analysis, biorthonormal 87 105
Multiresolution analysis, orthonormal 85 87 110 111
Orthonormality 87
Pattern recognition 179
Reconstruction 63
Reference line 267
Riesz basis 84 85
Riesz basis, lower bound of 85
Riesz basis, upper bound of 85
Scaling function 85
Texture 36
Texture analysis 35
Texture, color 36
Texture, rotation-invariant 36
Texture, statistical 37
Threshold 182
Time window 56
Time-frequency window 56
Time-frequency window, area of 58
Transition operator 98
Transition operator, restriction of 98
Transition operator, restriction of, eigenvalue of 101 104
Transition operator, restriction of, eigenvector of 101 104
Transition operator, restriction of, spectral radius of 98 99 101
Translation 54
Two-scale equation 84 86
Two-scale equation, solution of 90
Two-scale relation 105
Uncertainty principle 58
Upsampled 129
Vanishing moment 73 76
Wavelet 2
Wavelet basis 121
Wavelet basis, Battle — Lemare — spline 140
Wavelet basis, biorthonaoral 122
Wavelet basis, cardinal spline 159
Wavelet basis, compactly supported spline 174
Wavelet basis, Daubechies 144 147
Wavelet basis, Haar 134
Wavelet basis, Littlewood — Paley 136
Wavelet basis, Meyer 138
Wavelet basis, orthonormal 132—134
Wavelet transform, calculation 189
Wavelet transform, calculation, one-dimensional 191
Wavelet transform, calculation, two-dimensional 193
Wavelet, descriptor 19
Wavelet, Gaussian 77
Wavelet, Haar 79
Wavelet, Mexico hat-like 77
Wavelet, quadratic spline 79 192
Wavelet, spline 78
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