Brennpunkt Risikomanagement und Regulierung:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | German |
| Veröffentlicht: |
Cologne
Bank-Verlag
2015
|
| Ausgabe: | 1st ed |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Description based on publisher supplied metadata and other sources |
| Beschreibung: | 1 online resource (362 pages) |
| ISBN: | 9783865564399 |
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Datensatz im Suchindex
| _version_ | 1804178644004765696 |
|---|---|
| adam_text | IMAGE 1
CONTENTS
1 INTRODUCTION 1
REFERENCES 10
2 INTRODUCTORY BACKGROUND 15
2.1 EULER-LAGRANGE EQUATIONS 15
2.1.1 DEFINITE INTEGRALS 15
2.1.2 VARIABLE DOMAIN O F INTEGRATION 17
2.2 DESCENT METHODS FOR UNCONSTRAINED OPTIMIZATION 20
2.2.1 REAL FUNCTIONS 2 0
2.2.2 INTEGRAL FUNCTIONAL 20
2.3 LEVEL SETS 22
2.4 OPTICAL FLOW 25
2.4.1 THE GRADIENT EQUATION 25
2.4.2 THE HORN AND SCHUNCK FORMULATION 26
2.4.3 THE AUBERT, KORNPROBST, AND DERICHE FORMULATION 28
2.4.4 OPTICAL FLOW O F RIGID BODY MOTION 28
REFERENCES 31
3 BASIC METHODS 33
3.1 THE MUMFORD AND SHAH MODEL 33
3.1.1 BAYESIAN INTERPRETATION 34
3.1.2 GRADUATED NON CONVEXITY IMPLEMENTATION 35
3.2 THE MINIMUM DESCRIPTION LENGTH METHOD OF LECLERC 36
3.2.1 M D L AND M A P 36
3.2.2 THE PIECEWISE CONSTANT IMAGE MODEL 37
3.2.3 NUMERICAL IMPLEMENTATION 39
3.3 THE REGION COMPETITION ALGORITHM 4 0
3.3.1 OPTIMIZATION 41
3.4 A LEVEL SET FORMULATION O F THE PIECEWISE CONSTANT MUMFORD-SHAH
MODEL 45
3.4.1 CURVE EVOLUTION MINIMIZATION O F THE CHAN-VESE FUNCTIONAL . 4 6
HTTP://D-NB.INFO/1005009724
IMAGE 2
VI CONTENTS
3.4.2 LEVEL SET REPRESENTATION O F CURVE EVOLUTION 48
3.4.3 ALGORITHM SUMMARY 4 9
3.4.4 NUMERICAL IMPLEMENTATION DETAILS O F THE LEVEL SET EVOLUTION
EQUATION 50
3.5 EDGE-BASED APPROACHES 51
3.5.1 THE KASS-WITKIN-TERZOPOULOS SNAKES MODEL 51
3.5.2 THE GEODESIC ACTIVE CONTOUR 52
3.5.3 EXAMPLES 54
REFERENCES 57
4 MULTIREGION SEGMENTATION 59
4.1 INTRODUCTION 59
4.2 MULTIREGION SEGMENTATION USING A PARTITION CONSTRAINT FUNCTIONAL
TERM 61 4.3 MULTIPHASE LEVEL SET IMAGE SEGMENTATION 62
4.4 LEVEL SET MULTIREGION COMPETITION 6 6
4.4.1 REPRESENTATION O F A PARTITION INTO A FIXED BUT ARBITRARY NUMBER
OF REGIONS 66
4.4.2 CURVE EVOLUTION EQUATIONS 67
4.4.3 LEVEL SET IMPLEMENTATION 69
4.5 MULTIREGION LEVEL SET SEGMENTATION AS REGULARIZED CLUSTERING 7 0
4.5.1 CURVE EVOLUTION EQUATIONS 71
4.5.2 LEVEL SET IMPLEMENTATION 73
4.6 EMBEDDING A PARTITION CONSTRAINT DIRECTLY IN THE MINIMIZATION
EQUATIONS 74
4.6.1 TWO-REGION SEGMENTATION: FIRST ORDER ANALYSIS 7 4
4.6.2 EXTENSION TO MULTIREGION SEGMENTATION 7 6
4.6.3 EXAMPLE 78
REFERENCES 80
5 IMAGE MODELS 83
5.1 INTRODUCTION 83
5.2 SEGMENTATION BY MAXIMIZING THE IMAGE LIKELIHOOD 84
5.2.1 THE GAUSSIAN MODEL 85
5.2.2 THE GAMMA IMAGE MODEL 89
5.2.3 GENERALIZATION TO DISTRIBUTIONS O F THE EXPONENTIAL FAMILY . . .
91 5.2.4 THE WEIBULL IMAGE MODEL 93
5.2.5 THE COMPLEX WISHART MODEL 95
5.2.6 MDL INTERPRETATION O F THE SMOOTHNESS TERM COEFFICIENT 98 5.2.7
GENERALIZATION TO MULTIREGION SEGMENTATION 99
5.2.8 EXAMPLES 101
5.3 MAXIMIZATION O F THE MUTUAL INFORMATION BETWEEN THE SEGMENTATION AND
THE IMAGE 104
5.3.1 CURVE EVOLUTION EQUATION 106
5.3.2 STATISTICAL INTERPRETATION 108
5.3.3 ALGORITHM SUMMARY 108
IMAGE 3
CONTENTS V I I
5.4 SEGMENTATION BY MAXIMIZING THE DISCREPANCY BETWEEN THE REGIONS
IMAGE DISTRIBUTIONS 109
5.4.1 STATISTICAL INTERPRETATION 110
5.4.2 THE KERNEL WIDTH 110
5.4.3 ALGORITHM SUMMARY I L L
5.4.4 EXAMPLE I L L
5.5 IMAGE SEGMENTATION USING A REGION REFERENCE DISTRIBUTION I L L
5.5.1 STATISTICAL INTERPRETATION 113
5.5.2 SUMMARY OF THE ALGORITHMS 114
5.5.3 EXAMPLE 114
5.6 SEGMENTATION WITH AN OVERLAP PRIOR 114
5.6.1 STATISTICAL INTERPRETATION 117
5.6.2 EXAMPLE 117
REFERENCES 120
6 REGION MERGING PRIORS 123
6.1 INTRODUCTION 123
6.2 DEFINITION OF A REGION MERGING PRIOR 125
6.3 A MINIMUM DESCRIPTION LENGTH PRIOR 126
6.4 AN ENTROPIC REGION MERGING PRIOR 126
6.4.1 ENTROPIC INTERPRETATION 127
6.4.2 SEGMENTATION FUNCTIONAL 127
6.4.3 MINIMIZATION EQUATIONS 128
6.4.4 A REGION MERGING INTERPRETATION O F THE LEVEL SET EVOLUTION
EQUATIONS 130
6.4.5 THE WEIGHT O F THE ENTROPIC PRIOR 130
6.5 EXAMPLE 132
6.5.1 SEGMENTATION WITH THE ENTROPIC REGION MERGING PRIOR 132 6.5.2
SEGMENTATION WITH THE M D L REGION MERGING PRIOR 133
6.5.3 COMPUTATION TIME 133
REFERENCES 137
7 MOTION BASED IMAGE SEGMENTATION 139
7.1 INTRODUCTION 139
7.2 PIECEWISE CONSTANT MDL ESTIMATION AND SEGMENTATION O F OPTICAL FLOW
141 7.2.1 NUMERICAL IMPLEMENTATION 143
7.2.2 - EXAMPLE 145
7.3 JOINT SEGMENTATION AND LINEAR PARAMETRIC ESTIMATION O F OPTICAL FLOW
. 145 7.3.1 FORMULATION 147
7.3.2 FUNCTIONAL MINIMIZATION 151
7.3.3 LEVEL SET IMPLEMENTATION 155
7.3.4 MULTIREGION SEGMENTATION 155
7.3.5 EXAMPLES 155
REFERENCES 158
IMAGE 4
VIII C O N T E N T S
8 IMAGE SEGMENTATION ACCORDING T O THE MOVEMENT
OF REAL OBJECTS 161
8.1 INTRODUCTION 161
8.2 THE FUNCTIONALS 164
8.3 MINIMIZATION OF I#I 166
8.3.1 MINIMIZATION WITH RESPECT TO THE SCREWS O F MOTION 166
8.3.2 MINIMIZATION WITH RESPECT TO DEPTH 167
8.3.3 MINIMIZATION WITH RESPECT TO THE ACTIVE CURVE 167
8.3.4 ALGORITHM 168
8.3.5 UNCERTAINTY OF SCALE IN 3D INTERPRETATION 168
8.3.6 MULTIREGION SEGMENTATION 169
8.3.7 EXAMPLE 169
8.4 MINIMIZATION O F 2 169
8.4.1 MINIMIZATION WITH RESPECT TO THE ESSENTIAL PARAMETER VECTORS 169
8.4.2 MINIMIZATION WITH RESPECT TO OPTICAL FLOW 171
8.4.3 MINIMIZATION WITH RESPECT TO 7 171
8.4.4 RECOVERY O F REGULARIZED RELATIVE DEPTH 171
8.4.5 ALGORITHM 172
8.4.6 EXAMPLE 173
8.5 MINIMIZATION OF 3 174
8.5.1 EXAMPLE 175
REFERENCES 178
9 APPENDIX 181
9.1 THE HORN AND SCHUNCK OPTICAL FLOW ESTIMATION ALGORITHM 181
9.1.1 ITERATIVE RESOLUTION BY THE JACOBI AND GAUSS-SEIDEL ITERATIONS 183
9.1.2 EVALUATION O F DERIVATIVES 184
9.2 THE AUBERT, DERICHE, AND KORNPROBST ALGORITHM 184
9.3 CONSTRUCTION OF STEREOSCOPIC IMAGES OF A COMPUTED 3D INTERPRETATION
186 REFERENCES 188
INDEX 1 89
|
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| discipline | Wirtschaftswissenschaften |
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| indexdate | 2024-07-10T08:07:14Z |
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| language | German |
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| spellingShingle | Niehoff, Wilhelm Brennpunkt Risikomanagement und Regulierung Risk management--Germany Risikomanagement (DE-588)4121590-4 gnd Bank (DE-588)4004436-1 gnd Bankenaufsicht (DE-588)4004450-6 gnd |
| subject_GND | (DE-588)4121590-4 (DE-588)4004436-1 (DE-588)4004450-6 |
| title | Brennpunkt Risikomanagement und Regulierung |
| title_auth | Brennpunkt Risikomanagement und Regulierung |
| title_exact_search | Brennpunkt Risikomanagement und Regulierung |
| title_full | Brennpunkt Risikomanagement und Regulierung |
| title_fullStr | Brennpunkt Risikomanagement und Regulierung |
| title_full_unstemmed | Brennpunkt Risikomanagement und Regulierung |
| title_short | Brennpunkt Risikomanagement und Regulierung |
| title_sort | brennpunkt risikomanagement und regulierung |
| topic | Risk management--Germany Risikomanagement (DE-588)4121590-4 gnd Bank (DE-588)4004436-1 gnd Bankenaufsicht (DE-588)4004450-6 gnd |
| topic_facet | Risk management--Germany Risikomanagement Bank Bankenaufsicht |
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