Computer vision: models, learning, and inference
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2012
|
| Ausgabe: | First published |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024995485&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Beschreibung: | Hier auch später erschienene, unveränderte Nachdrucke |
| Umfang: | xviii, 580 Seiten Illustrationen, Diagramme |
| ISBN: | 9781107011793 |
Internformat
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| 245 | 1 | 0 | |a Computer vision |b models, learning, and inference |c Simon J. D. Prince, University College London |
| 250 | |a First published | ||
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 2012 | |
| 300 | |a xviii, 580 Seiten |b Illustrationen, Diagramme | ||
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Datensatz im Suchindex
| DE-BY-TUM_call_number | 0002 DAT 760f 2012 B 2475 0102 DAT 760f 2012 B 2485 |
|---|---|
| DE-BY-TUM_katkey | 1860174 |
| DE-BY-TUM_location | 00 01 |
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| _version_ | 1821933849519587328 |
| adam_text |
Contents
Acknowledgments page
xiii
Foreword by Andrew Fitzgibbon
xv
Preface
xvii
1
Introduction
1
Organization of the book
. 3
Other books
. 5
1 Probability
2
Introduction to probability
9
2.1
Random variables
. 9
2.2
Joint probability
. 10
2.3
Marginalization
. 10
2.4
Conditional probability
. 12
2.5
Bayes'
rule
. 13
2.6
Independence
. 14
2.7
Expectation
. 14
3
Common probability distributions
17
3.1
Bernoulli distribution
. 18
3.2
Beta distribution
. 19
3.3
Categorical distribution
. 19
3.4
Dirichlet distribution
. 20
3.5
Univariate normal distribution
. 21
3.6
Normal-scaled inverse gamma distribution
. 21
3.7
Multivariate normal distribution
. 22
3.8
Normal inverse
Wishart
distribution
. 23
3.9
Conjugacy
. 24
4
Fitting probability models
28
4.1
Maximum likelihood
. 28
4.2
Maximum a posteriori
. 28
4.3
The Bayesian approach
. 29
4.4
Worked example
1:
Univariate normal
. 30
4.5
Worked example
2:
Categorical distribution
. 38
Contents
Will_^_.------------
5 The normal
distribution
44
5.1
Types of covariance matrix
. 44
5.2
Decomposition of covariance
. 45
5.3
Linear transformations of variables
. 47
5.4
Marginai
distributions
. 47
5.5
Conditional distributions
. 48
5.6
Product of two normals
. 48
5.7
Change of variable
. 50
I! Machine learning for machine vision
6
Learning and inference in vision
55
6.1
Computer vision problems
. 55
6.2
Types of model
. 56
6.3
Exampie
1:
Regression
. 57
6.4
Example
2:
Binary classification
. 60
6.5
Which type of model should we use?
. 63
6.6
Applications
. 64
7
Modeling complex data densities
71
7.1
Normal classification model
. 71
7.2
Hidden variables
. 74
7.3
Expectation maximization
.,. 75
7.4
Mixture of Gaussians
. 77
7.5
The
i-distribution
. 82
7.6
Factor analysis
. 88
7.7
Combining modeis
. 93
7.8
Expectation maximization in detail
. 94
7.9
Applications
. 99
8
Regression modeis
108
8.1
Linear regression
. 108
8.2
Bayesian linear regression
.
Ill
8.3
Nonimear regression
. 114
8.4
Kernels and the kernel trick
. 118
8.5
Gaussian process regression
. 119
8.6
Sparse iinear regression
. 120
8.7
Dual linear regression
. 124
8.8
Relevance vector regression
. 127
8.9
Regression to multivariate data
. 128
8.10
Applications
. 128
9
Classification
modets
133
9.1
Logistic regression
. 133
9.2
Bayesian logistic regression
. 138
9.3
Nonlinear logistic regression
. 142
9.4
Dual logistic regression
.
\44
9.5
Kernel logistic regression
. 146
Contents ix
9.6
Relevance vector classification
. 147
9.7
incremental fitting and boosting
. 150
9.8
Classification trees
. 153
9.9
Multiclass logistic regression
. 156
9.10
Random trees, forests, and ferns
. 158
9.11
Relation to non-probabilistic models
. 159
9.12
Applications
. 160
III Connecting local models
10
Graphical models
173
10.1
Conditional independence
. 173
10.2
Directed graphical models
. 175
10.3
Undirected graphical models
. 178
10.4
Comparing directed and undirected graphical models
. 181
10.5
Graphical models in computer vision
. 181
10.6
Inference in models with many unknowns
. 184
10.7
Drawing samples
. 186
10.8
Learning
. 188
11
Models for chains and trees
195
11.1
Models for chains
. 196
11.2
MAP inference for chains
. 198
11.3
MAP inference for trees
. 202
11.4
Marginal posterior inference for chains
. 205
11.5
Marginal posterior inference for trees
. 211
11.6
Learning in chains and trees
. 212
11.7
Beyond chains and trees
. 213
11.8
Applications
. 216
12
Models for grids
227
12.1
Markov random fields
. 228
12.2
MAP inference for binary pairwise MRFs
. 231
12.3
MAP inference for multilabel pairwise MRFs
. 239
12.4
Multilabel MRFs with non-convex potentials
. 244
12.5
Conditional random fields
. 247
12.6
Higher order models
. 250
12.7
Directed models for grids
. 250
12.8
Applications
. 251
IV Preprocessing
13
Image preprocessing and feature extraction
269
13.1
Per-pixe! transformations
. 269
13.2
Edges, corners, and interest points
. 279
13.3
Descriptors
. 283
13.4
Dimensionality reduction
. 287
Contents
V
Models
for geometry
14
The
pinhole
camera
297
14.1
The pinhole camera
. 297
14.2
Three geometric problems
. 304
14.3
Homogeneous coordinates
. 306
14.4
Learning extrinsic parameters
. 309
14.5
Learning intrinsic parameters
. 311
14.6
Inferring three-dimensional world points
. 312
14.7
Applications
. 314
15
Models for transformations
323
15.1
Two-dimensional transformation models
. 323
15.2
Learning in transformation models
. 330
15.3
inference in transformation models
. 334
15.4
Three geometric problems for planes
. 335
15.5
Transformations between images
. 339
15.6
Robust learning of transformations
. 342
15.7
Applications
. 347
16
Multiple cameras
354
16.1
Two-view geometry
. 355
16.2
The essential matrix
. 357
16.3
The fundamental matrix
. 361
16.4
Two-view reconstruction pipeline
. 364
16.5
Rectification
. 368
16.6
Multiview reconstruction
. 372
16.7
Applications
. 376
VI Models for vision
17
Modefs for shape
387
17.1
Shape and its representation
. 388
17.2
Snakes
. 389
17.3
Shape templates
. 393
17.4
Statistical shape models
. 396
17.5
Subspace shape models
. 399
17.6
Three-dimensional shape models
. 405
17.7
Statistical models for shape and appearance
. 405
17.8
Non-Gaussian statistical shape models
. 410
17.9
Articulated models
. 414
17.10
Applications
.
4J5
18
Models for style and identity
424
18.1
Subspace identity model
. 427
18.2
Probabilistic linear discriminant analysis
. 433
18.3
Nonlinear identity models
. 437
18.4
Asymmetric bilinear modefs
. 43g
Contents xi
18.5 Symmetrie bilinear and multilinear modeis. 443
18.6 Applications. 446
19 Temporal modeis 453
19.1 Temporal
estimation
framework.
453
19.2
Kalman filter
. 455
19.3
Extended
Kalman filter
. 466
19.4
Unscented Kalman filter
. 467
19.5
Particle
filtering
. 472
19.6
Applications
. 476
20
Models for visual words
483
20.1
Images as collections of visual words
. 483
20.2
Bag of words
. 484
20.3
Latent Dirichlet allocation
. 487
20.4
Single author—topic model
. 493
20.5
Constellation models
. 495
20.6
Scene models
. 499
20.7
Applications
. 500
VII
Appendices
A Notation
507
В
Optimization
509
B.I Problem statement
. 509
B.2 Choosing a search direction
. 511
B.3 Line search
. 515
B.4 Reparameterization
. 516
С
Linear algebra
519
C.I Vectors
. 519
C.2 Matrices
. 520
C.3 Tensors
. 522
C.4 Linear transformations
. 522
C.5 Singular value decomposition
. 522
C.6 Matrix calculus
. 527
C.7 Common problems
. 528
C.8 Tricks for inverting large matrices
. 530
Bibliography
533
Index
567 |
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| discipline | Informatik |
| edition | First published |
| format | Book |
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| language | English |
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| title | Computer vision models, learning, and inference |
| title_auth | Computer vision models, learning, and inference |
| title_exact_search | Computer vision models, learning, and inference |
| title_full | Computer vision models, learning, and inference Simon J. D. Prince, University College London |
| title_fullStr | Computer vision models, learning, and inference Simon J. D. Prince, University College London |
| title_full_unstemmed | Computer vision models, learning, and inference Simon J. D. Prince, University College London |
| title_short | Computer vision |
| title_sort | computer vision models learning and inference |
| title_sub | models, learning, and inference |
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Teilbibliothek Mathematik & Informatik
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