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| Авторизация |
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| Поиск по указателям |
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| Qiu P. — Image processing and jump regression analysis |
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| Предметный указатель |
 distance 207
AIC criterion 69
B-splines 42 269
Basis functions 36—37 41 46 67 112 200
Basis functions, directional basis functions 201
Bayesian estimation 246
Bayesian estimation, Bayes estimator 250
Bayesian estimation, Bayes Theorem 250
Bayesian estimation, loss function 250
Bayesian estimation, posterior distribution 250 252
Bayesian estimation, prior distribution 249 251
BIC criterion 69
Block-circulant matrix 238 245
Bonferroni correction 142
Bootstrap techniques 61 181
Boundary curve 107 222
Cartesian coordinate system 224
Change-point estimation 8
Chebyshev’s polynomials 36 199
City-block distance 207
CLIQUE 246
Clique potentials 248
Conditional probability 246
Conditional probability density function 249
Convolution 191 196 202 237 239 252 269
Convolution, discrete version 237
Cost factors 216
Cost factors, point cost 218
Cost factors, total cost 218
Cubic splines 42
Curvature 37 89 141 218
Cusps 70 115
Data compression 7
Data smoothing 14
Delia function 236
Difference operator 190—191
Diffusion equation 270
Diffusion equation, anisotropic diffusion equation 270
Diffusion equation, isotropic diffusion equation 270
Diffusion equation, nonlinear diffusion equation 270
Diffusion equation, nonlinear diffusion equation, discrete version 271
Diffusivity 270
Divergence operator 270
Edge detection 1 7 187
Edge detection, Canny’s edge detection criteria 201
Edge detection, correction terms 210
Edge detection, cost minimization 216
Edge detection, deletion of deceptive edge pixels 222
Edge detection, derivative estimation 189
Edge detection, derivative estimation, estimation of the first-order derivatives 189
Edge detection, derivative estimation, estimation of the second-order derivatives 189
Edge detection, derivative of Gaussian (DoG) operators 192 202
Edge detection, derivative of Gaussian (DoG) operators, discrete version 192
Edge detection, difference of Gaussian operator 197
Edge detection, directional first-order derivative 205 209 215
Edge detection, directional second-order derivative 199—201 205 215
Edge detection, dissimilarity measure 218
Edge detection, edge fragmentation 219
Edge detection, edge linking 221
Edge detection, edge location 196
Edge detection, edge thickness 219
Edge detection, edge thinning 222
Edge detection, Frei — Chen masks 191
Edge detection, gradient estiamtion 190 200 223
Edge detection, greedy search 221
Edge detection, hill climbing 221
Edge detection, Laplacian of Gaussian (LoG) operator 195 197
Edge detection, local surface estimation 199
Edge detection, localization 201 203
Edge detection, Maxican hat filter 196—197
Edge detection, multilevel masks 206
Edge detection, optimal edge detector 202—204
Edge detection, post-processing 222
Edge detection, Prewitt masks 191 193
Edge detection, Roberts operator 191 193
Edge detection, roof edge detection 213
Edge detection, rotationally invariant operators 199
Edge detection, Sobel operator 139—140 191 193 222
Edge detection, thresholding 193 210 224
Edge detection, truncated pyramid masks 192—193
Edge detection, variational approach 204
Edge detection, zero-crossing properties 189 197 201
Edges 187
Edges, components 217
Edges, edge configuration 216
Edges, edge pixel 217
Edges, line edges 189 262
Edges, mathematical description 216
Edges, nonedge pixel 217
Edges, path 217
Edges, ramp edges 188
Edges, roof edges 7 188
Edges, roof edges, 1-D profile 188 213
Edges, spike edges 189
Edges, step edges 7 187—189
Edges, step edges, 1-D profile 188
Edges, texture edges 189
Edges, thick edge 217
Edges, thin edge 217
Edges, walk 217
Energy function 220 248 252 258 269
Equi-temperature surfaces 8 149
Fidelity 6 37 259
Fourier transformation 44 235 238 240
Fourier transformation, discrete Fourier transformation 239
Fourier transformation, discrete inverse Fourier transformation 240
Fourier transformation, fast Fourier transformation 239
Fourier transformation, Fourier coefficients 44
Fourier transformation, inverse fast Fourier transformation 239
Fourier transformation, inverse Fourier transformation 44 239
Fourier transformation, orthonormal basis 44
Fourier transformation, Parseval’s relation 45
Generalized inverse matrix 244
Gibbs distribution 248 251—252 255
Gibbs sampler 253
Global topographical elevation data 157
Graph 246
Hat matrix 35 39
Hausdorff distance 118 127 135 137—139
Hough transform 224
Hypothesis test 22
Hypothesis test, alternative hypothesis 22 113
Hypothesis test, critical value 23
Hypothesis test, null distribution 24
Hypothesis test, null hypothesis 22 113
Hypothesis test, p-value 23
Hypothesis test, power 24
Hypothesis test, significance level 23
Hypothesis test, test statistic 23
Hypothesis test, Type I error 23
Hypothesis test, Type II error 23
Ill-posed problem 259
Image addressing 222
Image enhancement 187
Image reconstruction 234
Image restoration 1 8 233—234 246
Image restoration, adaptive smoothing 265 272
Image restoration, bilateral filtering 265 272
Image restoration, bilateral filtering, discrete version 267
Image restoration, edge-preserving 8
Image restoration, inverse filtering 243
Image restoration, iterated conditional modes (ICM) algorithm 254
Image restoration, local smoothing filters 261
Image restoration, Markov random field modeling 246
Image restoration, maximum a posteriori (MAP) estimator 252
Image restoration, model 236
Image restoration, nonlinear diffusion filtering 269 272
Image restoration, regularization 258
Image restoration, scale-space filtering 270
Image restoration, weak membrane model 260
| Image restoration, weak string model 260
Image segmentation 187 222
Images 2
Images, black-and-white images 8 255
Images, coordinate system 2 10
Images, deblurring 8 235
Images, degradations 233
Images, degradations, linear blur 242
Images, degradations, point degradations 233
Images, degradations, sources of degradation 233
Images, degradations, spatial degradations 233 240
Images, denoising 7 235
Images, digitization 2 119
Images, digitizer 2
Images, gray level 3
Images, gray level quantization 3
Images, image intensity function 2
Images, image representation 2
Images, monochrome digital images 2
Images, noise 3 235
Images, point source images 237
Images, resolution 3
Images, smoothed image 196
Images, uniform sampling 2 8
Impulse function 236
Independent 18 247
Intensity process 251
Jump curve estimation 60 87
Jump curve estimation, boundary regions 93
Jump curve estimation, information-sharing property 61
Jump curve estimation, jump-preserving 88
Jump curve estimation, M smoother 93
Jump curve estimation, piecewise-linear kernel estimation 90
Jump curve estimation, robust estimation 93
Jump curve estimation, sigma filter 93
Jump curve estimation, split linear smoothing algorithm 88
Jump curve estimation, trimmed spline estimator 68
Jump curve estimation, two approaches 60—61
Jump detection 8
Jump detection, 1-D jump detection 56
Jump detection, 1-D jump detection, a modification procedure 79 129
Jump detection, 1-D jump detection, bandwidth selection 61
Jump detection, 1-D jump detection, boundary problem 60 95
Jump detection, 1-D jump detection, confidence interval 61
Jump detection, 1-D jump detection, convergence rate 61 71 85
Jump detection, 1-D jump detection, difference apart kernel estimation (DAKE) 78
Jump detection, 1-D jump detection, difference kernel estimators (DKEs) 59
Jump detection, 1-D jump detection, hypothesis tests 76
Jump detection, 1-D jump detection, jumps in derivatives of f 64—65 75 80 85
Jump detection, 1-D jump detection, local linear estimators 73
Jump detection, 1-D jump detection, local linear kernel smoothing 61—62
Jump detection, 1-D jump detection, local LS estimation 81
Jump detection, 1-D jump detection, multiple jumps 60 64 72
Jump detection, 1-D jump detection, one-sided kernel estimators 57
Jump detection, 1-D jump detection, properties 58 62 85
Jump detection, 1-D jump detection, semiparametric modeling 65
Jump detection, 1-D jump detection, spline smoothing 67
Jump detection, 1-D jump detection, thresholding 84 87
Jump detection, 1-D jump detection, wavelet transformation 70
Jump detection, 2-D jump detection 101 151
Jump detection, 2-D jump detection, arbitrary JLCs 118
Jump detection, 2-D jump detection, assumption on the design points 106
Jump detection, 2-D jump detection, bandwidth selection 132
Jump detection, 2-D jump detection, boundary estimation 107
Jump detection, 2-D jump detection, continuity regions 102
Jump detection, 2-D jump detection, contrast statistic 110
Jump detection, 2-D jump detection, convergence rate 136
Jump detection, 2-D jump detection, deceptive jump candidates 128 136
Jump detection, 2-D jump detection, false jump detection rate 167
Jump detection, 2-D jump detection, gradient estimation 123 139
Jump detection, 2-D jump detection, jump location curves (JLCs) 102
Jump detection, 2-D jump detection, local linear estimation 119
Jump detection, 2-D jump detection, minimax estimator 107—108
Jump detection, 2-D jump detection, modification procedures 128 136 143
Jump detection, 2-D jump detection, multiple JLCs 106 115
Jump detection, 2-D jump detection, one-sided kernel estimators 105
Jump detection, 2-D jump detection, performance measurement 137—138
Jump detection, 2-D jump detection, pointset estimator 119 132
Jump detection, 2-D jump detection, properties 106 117 127 135
Jump detection, 2-D jump detection, rotational difference kernel estimators (RDKEs) 105
Jump detection, 2-D jump detection, rotational kernel functions 104
Jump detection, 2-D jump detection, singular point 119 134
Jump detection, 2-D jump detection, smooth, closed and simple curve 110 147
Jump detection, 2-D jump detection, thresholding 117 125 128 132 142
Jump detection, 2-D jump detection, tracking algorithm 112
Jump detection, 2-D jump detection, wavelet transformation 115
Jump regression analysis 7
Jump regression analysis, related statistical research areas 8
Jump surface estimation 149
Jump surface estimation, a three-stage procedure 150
Jump surface estimation, a three-stage procedure, first-order approximation to the JLCs 151
Jump surface estimation, adaptive weights smoothing (AWS) 177
Jump surface estimation, convergence rate 153 155
Jump surface estimation, explicit mathematical formula 159
Jump surface estimation, gradient estimation 169 184
Jump surface estimation, jump-preserved 149
Jump surface estimation, M smoother 150
Jump surface estimation, measuring jump preservation 183
Jump surface estimation, one-sided estimators 170
Jump surface estimation, parameter selection 166 180
Jump surface estimation, piecewise-linear kernel estimation 159
Jump surface estimation, properties 153—154 176
Jump surface estimation, sigma filter 150
Jump surface estimation, singular points 163 172
Jump surface estimation, symmetric “padding” method 155
Jump surface estimation, thresholding 157 163
Laplacian operator 194 270
Laplacian operator, eight-neighbor Laplacian mask 195 197
Laplacian operator, four-neighbor Laplacian mask 195
Least squares (LS) estimation 25 41 45 147 244
Least squares (LS) estimation, local LS estimation 81
Least squares (LS) estimation, local LS plane 121
Least squares (LS) estimation, residual sum of squares 25
Lena image 193 197
Line process 250 256
Manhattan distance 207 215
Marginal probability density function 250
Markov random field (MRF) 247
Markov random field (MRF), local characteristics 247
Maximum Likelihood Estimation 24 109
Maximum likelihood estimation, kernel-weighted likelihood function 113
Maximum likelihood estimation, likelihood function 24
Maximum likelihood estimation, likelihood ratio test 114
Maximum likelihood estimation, log-likelihood function 24 109
Median filtering 262
Median filtering, center weighted median filtering 265
Median filtering, weighted median filtering 265
Microarray image 146 222
Mountain image 233 257
Moving local least median squares (MLMS) approximation 267
Neighborhood averaging 261
Neighborhood system 246
Neighbors 246
Newton — Raphson algorithm 112
Nonparametric regression analysis 1
Nonparametric regression analysis, automatic boundary carpentry 32
Nonparametric regression analysis, bandwidth 25
Nonparametric regression analysis, bandwidth selection 34
Nonparametric regression analysis, bandwidth selection, cross-validation (CV) 34 39 167
Nonparametric regression analysis, bandwidth selection, Mallow’s Cp 34
Nonparametric regression analysis, bandwidth selection, plug-in algorithm 34
Nonparametric regression analysis, bias 27—28 32
Nonparametric regression analysis, boundary problem 25 28 32 64 157 223
Nonparametric regression analysis, conventional nonparametric regression analysis 6
Nonparametric regression analysis, global smoothing 26 38 45
Nonparametric regression analysis, kernel function 26
Nonparametric regression analysis, local constant kernel estimator 30
Nonparametric regression analysis, local linear kernel estimator 30 90 159 170 223
Nonparametric regression analysis, local polynomial kernel estimator 30
Nonparametric regression analysis, local smoothing 26
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