!Dahlhaus·Kurths·Maass.Timmer.2008.book.Mathematical Methods in Signal Processing and Digital Image Analysis

Markov Random Field, 269 Index 291
mask, 77
matrix refinement equation, 77 order pattern, 156
mean phase coherence, 26 orientation tensor, 270
measure
estimation, 271
confidence, 133 oscillator
situation, 133
median smoother, 184 R¨ossler, 171
method stochastic Van-der-Pol oscillator, 43
algebraic multigrid, 144
finite element, 143 parabolic equations, 126
Gauß–Seidel, 209 partial coherence, 6
Jacobi, 208 partial directed coherence, 11
Newton’s, 209 partial phase synchronization, 31
model partial spectrum, 6
multi-dimensional signals, 233 pattern
occluding orientations, 270
model selection, 254 order, 156
Bayesian, 257 Perona and Malik, 204
models phase, 168
graphical, 16 phase field approximation, 137
molecular tagging velocimetry (MTV), phase randomization, 42
phase synchronization, 26
273
morphology, 119 partial, 31
motion plant leaves, 273
plot
occluded, 269
motion blur, 137, 138 recurrence, 158
motion layers, 269 plug-in method, 189
predictor, 184
separation, 269 principal components analysis, 115, 134
multiple modes problem, 276 process
multiple motions, 238
multiple orientations, 270 (vector) autogressive, 8
multiple subspace, 267 locally stationary, 215
multiresolution analysis, 79 propagation condition, 197
multiwavelet, 76 propagation model, 276
propagation modes, 276
biorthogonal, 87
Mumford Shah, 121, 132, 204 quincunx matrix, 82

new periodogram from estimated R¨ossler oscillator, 171
spectrum (NPS), 49 random field, 186
randomization
noise
additive, 183 phase, 42
correlated, 186 rate
multiplicative, 186
recurrence, 164
nonlinear elasticity, 119 recurrence, 154
norm equivalence, 87
cross-, 161
occluded motion, 269 recurrence plot, 158
optimal control, 125 recurrence rate, 164
registration

image, 119
regression, 183, 192
regularization, 96, 207

292 Index

multiple motions, 268 Iterated Amplitude Adjusted
optimal parameter, 104 Fourier-Transformed (IAAFT), 62
Tikhonov, 102, 204
renormalized partial directed coherence, symbol, 77
symmetry group, 84
14 synchronization, 166
R¨ossler system, 43 system

segmentation, 204 Lorenz, 43
seismic signals, 276 R¨ossler, 43
seismic waves, 276
SETAR, 9 tensor
shrinkage, 87 diffusion, 258
energy, 254
Haar, 92 structure, 244
hard, 100
operator, 92 tensor fields
parameter, 103 adaptive integration of, 264
soft, 87
wavelet, 210 test
shuffled surrogates Anderson–Darling, 256
digitally filtered, 49 Kolmogorov–Smirnov, 256
signal propagation, 276 Pearson’s χ2, 256
dispersive, 276
situation measure, 133 test statistic, 53
skewness, 48 texture analysis, 87
smoothing, 267 thermography, 273
adaptive weights, 267 time series, 154
image, 202 time-frequency analysis, 113
smoothing parameters total variation, 204
adaptive, 189 transfer function
smoothness terms
nonlocal data and (NDS), 202 directed, 12
Sobolev spaces transport diffusion, 139
weighted and directional, 130 transport processes, 272
spectrum, 5
partial, 6 uniform consistency, 213
stochastic Van-der-Pol oscillator, 43
streamline diffusion, 143 Van-der-Pol oscillator
structural adaptation, 194 stochastic, 43
sum rules, 80
surrogate data, 46 variational problem, 87
surrogate functional, 87 vector autoregressive process, 8
surrogates velocity profile, 237
Amplitude Adjusted Fourier- Volterra–Wiener theory, 254

Transformed (AAFT), 62 wave dispersion, 116
wavelet shrinkage, 88
wavelet transform, 113
wavenumber, 276
weights smoothing

adaptive, 196