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Computer Vision: Algorithms and Applications (September 3, 2010 draft)
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Index
3D Rotations, see Rotations
3D alignment,320
absolute orientation,320,588
orthogonal Procrustes,320
3D photography,613
3D video,643
Absolute orientation,320,588
Active appearance model (AAM),680
Active contours,270
Active illumination,585
Active rangefinding,585
Active shape model (ASM),276,680
Activity recognition,610
Adaptive smoothing,127
Affine transforms,37,40
Affinities (segmentation),296
normalizing,297
Algebraic multigrid,288
Algorithms
testing,viii
Aliasing,77,476
Alignment, see Image alignment
Alpha
opacity,106
pre-multiplied,106
Alpha matte,105
Ambient illumination,65
Analog to digital conversion (ADC),77
Anisotropic diffusion,127
Anisotropic filtering,168
Anti-aliasing filter,78,476
Aperture,69
Aperture problem,394
Applications,5
3D model reconstruction,362,371
3D photography,613
augmented reality,326,368
automotive safety,5
background replacement,558
biometrics,668
colorization,504
de-interlacing,415
digital heritage,590
document scanning,432
edge editing,249
facial animation,603
flash photography,494
frame interpolation,418
gaze correction,552
head tracking,551
hole filling,521
image restoration,192
image search,717
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934
Computer Vision: Algorithms and Applications (September 3, 2010 draft)
industrial,7
intelligent photo editing,709
Internet photos,371
location recognition,693
machine inspection,5
match move,368
medical imaging,5,304,408
morphing,173
mosaic-based video compression,436
non-photorealistic rendering,522
Optical character recognition (OCR),5
panography,314
performance-driven animation,237
photo pop-up,710
Photo Tourism,624
Photomontage,459
planar pattern tracking,326
rotoscoping,282
scene completion,709
scratch removal,521
single viewreconstruction,331
tonal adjustment,111
video denoising,414
video stabilization,401
video summarization,436
video-based walkthroughs,645
VideoMouse,326
view morphing,357
visual effects,5
whiteboard scanning,432
z-keying,558
Arc length parameterization of a curve,246
Architectural reconstruction,598
Area statistics,132
mean (centroid),132
perimeter,132
second moment (inertia),132
Aspect ratio,52,53
Augmented reality,326,338,368
Auto-calibration,355
Automatic gain control (AGC),76
Axis/angle representation of rotations,41
B-snake,273
B-spline,171,172,250,273,279,408
cubic,146
multilevel,592
octree,597
Background plate,518
Background subtraction (maintenance),606
Bag of words (keypoints),697,727
distance metrics,698
Band-pass filter,118
Bartlett filter, see Bilinear kernel
Bayer pattern (RGB sensor mosaic),85
demosaicing,86,502
Bayes’ rule,141,180,762
MAP (maximum a posteriori) estimate,
763
posterior distribution,762
Bayesian modeling,180,762
MAP estimate,180,763
matting,510
posterior distribution,180,762
prior distribution,180,762
uncertainty,180
Belief propagation (BP),185,768
update rule,769
Bias,104,386
Bidirectional Reflectance Distribution Func-
tion, see BRDF
Bilateral filter,125
joint,496
range kernel,125
tone mapping,489
Bilinear blending,110
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Index
935
Bilinear kernel,117
Biometrics,668
Bipartite problem,364
Blind image deconvolution,498
Block-based motion estimation
(block matching),387
Blocks world,11
Blue screen matting,106,195,507
Blur kernel,69
estimation,476,528
Blur removal,144,197
Body color,63
Boltzmann distribution,181,763
Boosting,663
AdaBoost algorithm,665
decision stump,663
weak learner,663
Border (boundary) effects,114,196
Boundary detection,244
Box filter,117
Boxlet,121
BRDF,62
anisotropic,62
isotropic,62
recovery,612
spatially varying(SVBRDF),612
Brightness,104
Brightness constancy,3,384
Brightness constancy constraint, 384393,
410
Bundle adjustment,363
Calibration, see Camera calibration
Calibration matrix,51
Camera calibration,50,97
accuracy,340
aliasing,476
extrinsic,51,321
intrinsic,50,327
optical blur,476,528
patterns,327
photometric,470
plumb-line method,335,341
point spread function,476,528
radial distortion,334
radiometric,470,481,526
rotational motion,332,339
slant edge,476
vanishing points,329
vignetting,474
Camera matrix,51,54
Catadioptric optics,71
Category-level recognition,696
bag of words,697,727
data sets,718
part-based,701
segmentation,704
surveys,723
CCD,74
blooming,74
Central difference,118
Chained transformations,325,364
Chamfer matching,129
Characteristic function,131,281,590,596
Characteristic polynomial,740
Chirality,347,351
Cholesky factorization,741
algorithm,741
incomplete,752
sparse,749
Chromatic aberration,71,342
Chromaticity coordinates,83
CIE L*a*b*, see Color
CIE L*u*v*, see Color
CIE XYZ, see Color
Circle of confusion,69
936
Computer Vision: Algorithms and Applications (September 3, 2010 draft)
CLAHE, see Histogram equalization
Clustering
agglomerative,286
cluster analysis,269,305
divisive,286
CMOS,74
Co-vector,37
Coefficient matrix,177
Collineation,40
Color,80
balance,86,97,194
camera,84
demosaicing,86,502
fringing,504
hue, saturation, value (HSV),90
L*a*b*,83
L*u*v*,84,289
primaries,81
profile,473
ratios,90
RGB,81
transform,104
twist,86,105
XYZ,81
YIQ,88
YUV,88
Color filter array (CFA),85,502
Color line model,513
ColorChecker chart,473
Colorization,504
Compositing,105,192,195
image stitching,450
opacity,106
over operator,106
surface,451
transparency,106
Compression,90
Computational photography,467
active illumination,496
flash and non-flash,494
high dynamic range,479
references,469,524
tone mapping,487
Concentric mosaic,437,634
CONDENSATION,279
Condition number,750
Conditional random field (CRF), 188553,
708
Confusion matrix (table),226
Conic section,33
Conjugate gradient descent (CG),749
algorithm,751
non-linear,750
preconditioned,751
Connected components,131,198
Constellation model,704
Content based image retrieval (CBIR),717
Continuation method,179
Contour
arc length parameterization,246
chain code,246
matching,248,263
smoothing,248
Contrast,104
Controlled-continuity spline,175
Convolution,112
kernel,111
mask,111
superposition,112
Coring,153,201
Correlation,111,386
windowed,390
Correspondence map,398
Cramer–Rao lower bound,320,397,775
Cube map
Hough transform,253
Index
937
image stitching,451
Curve
arc length parameterization,246
evolution,248
matching,248
smoothing,248
Cylindrical coordinates,438
Data energy (term),181,763
Data sets and test databases,778
recognition,718
De-interlacing,415
Decimation,148
Decimation kernels
bicubic,150
binomial,148,150
QMF,150
windowed sinc,148
Demosaicing (Bayer),86,502
Depth from defocus,584
Depth map, see Disparity map
Depth of field,69,95
Di-chromatic reflection model,67
Difference matting (keying), 106195,508,
606
Difference of Gaussians (DoG),152
Difference of low-pass (DOLP),152
Diffuse reflection,63
Diffusion
anisotropic,127
Digital camera,73
color,84
color filter array (CFA),85
compression,90
Direct current (DC),92
Direct linear transform (DLT),322
Direct sparse matrix techniques,747
Directional derivative,119
selectivity,120
Discrete cosine transform (DCT),91,142
Discrete Fourier transform (DFT),134
Discriminative random field (DRF),190
Disparity,49,539
Disparity map,540,562
multiple,561
Disparity space image (DSI),540
generalized,542
Displaced frame difference (DFD),384
Displacement field,170
Distance from face space (DFFS),672
Distance in face space (DIFS),672
Distance map, see Distance transform
Distance transform,129,198
Euclidean,129
image stitching,455
Manhattan (city block),129
signed,130
Domain (of a function),103
Domain scaling law,167
Downsampling, see Decimation
Dynamic programming (DP),554,766
monotonicity,556
ordering constraint,556
scanline optimization,556
Dynamic snake,276
Dynamic texture,642
Earth mover’s distance (EMD),698
Edge detection,238,261
boundary detection,244
Canny,239
chain code,246
color,243
Difference of Gaussian,240
edgel (edge element),241
hysteresis,246
938
Computer Vision: Algorithms and Applications (September 3, 2010 draft)
Laplacian of Gaussian,240
linking,244,262
marching cubes,241
scale selection,242
steerable filter,241
zero crossing,241
Eigenface,671
Eigenvalue decomposition,275,671,737
Eigenvector,737
Elastic deformations,408
image registration,408
Elastic nets,272
Elliptical weighted average (EWA),168
Environment map,61,633
Environment matte,634
Epanechnikov kernel,294
Epipolar constraint,348
Epipolar geometry,348,537
pure rotation,353
pure translation,352
Epipolar line,537
Epipolar plane,537,544
image (EPI),559,629
Epipolar volume,629
Epipole,348,537
Error rates
accuracy (ACC),229
false negative (FN),226
false positive (FP),226
positive predictive value (PPV),229
precision,229
recall,229
ROC curve,229
true negative (TN),226
true positive (TP),226
Errors-in-variable model,442,744
heteroscedastic,746
Essential matrix,348
5-point algorithm,352
eight-point algorithm,349
re-normalization,350
seven-point algorithm,350
twisted pair,351
Estimation theory,757
Euclidean transformation,36,40
Euler angles,41
Expectation maximization (EM),291
Exponential twist,43
Exposure bracketing,480
Exposure value (EV),70,470
F-number (stop),69,95
Face detection,658
boosting,663
cascade of classifiers,664
clustering and PCA,660
data sets,718
neural networks,661
support vector machines,662
Face modeling,601
Face recognition,668
active appearance model,680
data sets,718
eigenface,671
elastic bunch graph matching,679
local binary patterns (LBP),722
local feature analysis,679
Face transfer,639
Facial motion capture,603,605,639
Factor graph,181,764,768
Factorization,15,357
missing data,360
projective,360
Fast Fourier transform (FFT),134
Fast marching method (FMM),282
Feature descriptor,222,260
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