Modeling and inverse problems in imaging analysis:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English French |
| Published: |
New York ; Berlin ; Heidelberg ; Hong Kong ; London ; Milan ; Pa
Springer
2003
|
| Series: | Applied mathematical sciences
155 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 289 - 299 |
| Physical Description: | XXII, 309 S. Ill., graph. Darst. : 24 cm |
| ISBN: | 038795547X |
Staff View
MARC
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| 100 | 1 | |a Chalmond, Bernard |e Verfasser |4 aut | |
| 240 | 1 | 0 | |a Eléments de modélisation pour l'analyse d'images |
| 245 | 1 | 0 | |a Modeling and inverse problems in imaging analysis |c Bernard Chalmond |
| 246 | 1 | 3 | |a Modeling and inverse problems in image analysis |
| 264 | 1 | |a New York ; Berlin ; Heidelberg ; Hong Kong ; London ; Milan ; Pa |b Springer |c 2003 | |
| 300 | |a XXII, 309 S. |b Ill., graph. Darst. : 24 cm | ||
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| 500 | |a Literaturverz. S. 289 - 299 | ||
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| 650 | 4 | |a Mathematisches Modell | |
| 650 | 4 | |a Image processing |x Digital techniques |x Mathematical models | |
| 650 | 4 | |a Image analysis |x Mathematical models | |
| 650 | 4 | |a Inverse problems (Differential equations) | |
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Record in the Search Index
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| adam_text | BERNARD CHALMOND MODELING AND INVERSE PROBLEMS IN IMAGING ANALYSIS WITH
110 FIGURES SPRINGER CONTENTS FOREWORD BY HENRI MAITRE VII
ACKNOWLEDGMENTS IX LIST OF FIGURES XIII NOTATION AND SYMBOLS XIX 1
INTRODUCTION 1 1.1 ABOUT MODELING 3 1.1.1 BAYESIAN APPROACH 3 1.1.2
INVERSE PROBLEM 8 1.1.3 ENERGY-BASED FORMULATION 10 1.1.4 MODELS 11 1.2
STRUCTURE OF THE BOOK 14 1 SPLINE MODELS 21 2 NONPARAMETRIC SPLINE
MODELS 23 2.1 DEFINITION : 23 2.2 OPTIMIZATION 26 2.2.1 BENDING SPLINE
26 2.2.2 SPLINE UNDER TENSION 28 XII CONTENTS 2.2.3 ROBUSTNESS 31 2.3
BAYESIAN INTERPRETATION 34 2.4 CHOICE OF REGULARIZATION PARAMETER 36 2.5
APPROXIMATION USING A SURFACE 39 2.5.1 L-SPLINE SURFACE 40 2.5.2
QUADRATIC ENERGY 43 2.5.3 FINITE ELEMENT OPTIMIZATION 46 3 PARAMETRIC
SPLINE MODELS 51 3.1 REPRESENTATION ON A BASIS OF B-SPLINES 51 3.1.1
APPROXIMATION SPLINE 53 3.1.2 CONSTRUCTION OF B-SPLINES 54 3.2
EXTENSIONS 57 3.2.1 MULTIDIMENSIONAL CASE 57 3.2.2 HETEROSCEDASTICITY 62
3.3 HIGH-DIMENSIONAL SPLINES 67 3.3.1 REVEALING DIRECTIONS 68 3.3.2
PROJECTION PURSUIT REGRESSION 70 4 AUTO-ASSOCIATIVE MODELS 75 4.1
ANALYSIS OF MULTIDIMENSIONAL DATA 75 4.1.1 A CLASSICAL APPROACH 76 4.1.2
TOWARD AN ALTERNATIVE APPROACH 80 4.2 AUTO-ASSOCIATIVE COMPOSITE MODELS
82 4.2.1 MODEL AND ALGORITHM 82 4.2.2 PROPERTIES 84 4.3 PROJECTION
PURSUIT AND SPLINE SMOOTHING 86 4.3.1 PROJECTION INDEX 87 4.3.2 SPLINE
SMOOTHING 90 4.4 ILLUSTRATION 93 II MARKOV MODELS 97 5 FUNDAMENTAL
ASPECTS 99 5.1 DEFINITIONS 99 5.1.1 FINITE MARKOV FIELDS 100 5.1.2 GIBBS
FIELDS 101 5.2 MARKOV-GIBBS EQUIVALENCE 103 5.3 EXAMPLES 106 5.3.1
BENDING ENERGY 106 5.3.2 BERNOULLI ENERGY 107 5.3.3 GAUSSIAN ENERGY 108
5.4 CONSISTENCY PROBLEM 109 CONTENTS XIII 6 BAYESIAN ESTIMATION 113 6.1
PRINCIPLE 113 6.2 COST FUNCTIONS 118 6.2.1 COST FUNCTION EXAMPLES 119
6.2.2 CALCULATION PROBLEMS 121 7 SIMULATION AND OPTIMIZATION 123 7.1
SIMULATION . 124 7.1.1 HOMOGENEOUS MARKOV CHAIN 124 7.1.2 METROPOLIS
DYNAMIC 125 7.1.3 SIMULATED GIBBS DISTRIBUTION 127 7.2 STOCHASTIC
OPTIMIZATION 130 7.3 PROBABILISTIC ASPECTS 134 7.4 DETERMINISTIC
OPTIMIZATION 138 7.4.1 ICM ALGORITHM 138 7.4.2 RELAXATION ALGORITHMS 141
8 PARAMETER ESTIMATION 147 8.1 COMPLETE DATA 148 8.1.1 MAXIMUM
LIKELIHOOD 149 8.1.2 MAXIMUM PSEUDOLIKELIHOOD 150 8.1.3 LOGISTIC
ESTIMATION 153 8.2 INCOMPLETE DATA 156 8.2.1 MAXIMUM LIKELIHOOD 157
8.2.2 GIBBSIAN EM ALGORITHM 161 8.2.3 BAYESIAN CALIBRATION 170 III
MODELING IN ACTION 175 9 MODEL-BUILDING 177 9.1 MULTIPLE SPLINE
APPROXIMATION 177 9.1.1 CHOICE OF DATA AND IMAGE CHARACTERISTICS . . . .
179 9.1.2 DEFINITION OF THE HIDDEN FIELD 181 9.1.3 BUILDING AN ENERGY
183 9.2 MARKOV MODELING METHODOLOGY 185 9.2.1 DETAILS FOR IMPLEMENTATION
185 10 DEGRADATION IN IMAGING 189 10.1 DENOISING 190 10.1.1 MODELS WITH
EXPLICIT DISCONTINUITIES 190 10.1.2 MODELS WITH IMPLICIT DISCONTINUITIES
198 10.2 DEBLURRING 201 10.2.1 A PARTICULARLY ILL-POSED PROBLEM 202
10.2.2 MODEL WITH IMPLICIT DISCONTINUITIES 204 XIV CONTENTS 10.3 SCATTER
205 10.3.1 DIRECT PROBLEM 206 10.3.2 INVERSE PROBLEM 211 10.4
SENSITIVITY FUNCTIONS AND IMAGE FUSION 216 10.4.1 A RESTORATION PROBLEM
217 10.4.2 TRANSFER FUNCTION ESTIMATION 221 10.4.3 ESTIMATION OF STAINED
TRANSFER FUNCTION 224 11 DETECTION OF FILAMENTARY ENTITIES 227 11.1
VALLEY DETECTION PRINCIPLE 228 11.1.1 DEFINITIONS 228 11.1.2
BAYES-MARKOV FORMULATION 230 11.2 BUILDING THE PRIOR ENERGY 231 11.2.1
DETECTION TERM 231 11.2.2 REGULARIZATION TERM 234 11.3 OPTIMIZATION 236
11.4 EXTENSION TO THE CASE OF AN IMAGE PAIR 239 12 RECONSTRUCTION AND
PROJECTIONS 243 12.1 PROJECTION MODEL 243 12.1.1 TRANSMISSION TOMOGRAPHY
243 12.1.2 EMISSION TOMOGRAPHY 246 12.2 REGULARIZED RECONSTRUCTION 247
12.2.1 REGULARIZATION WITH EXPLICIT DISCONTINUITIES . . . 248 12.2.2
THREE-DIMENSIONAL RECONSTRUCTION 252 12.3 RECONSTRUCTION WITH A SINGLE
VIEW 256 12.3.1 GENERALIZED CYLINDER - ; 256 12.3.2 TRAINING THE
DEFORMATIONS 259 12.3.3 RECONSTRUCTION IN THE PRESENCE OF OCCLUSION . .
. 261 13 MATCHING 269 13.1 TEMPLATE AND HIDDEN OUTLINE 270 13.1.1 RIGID
TRANSFORMATIONS 270 13.1.2 SPLINE MODEL OF A TEMPLATE 272 13.2 ELASTIC
DEFORMATIONS 276 13.2.1 CONTINUOUS RANDOM FIELDS 276 13.2.2
PROBABILISTIC ASPECTS 282 REFERENCES 289 AUTHOR INDEX 301 SUBJECT INDEX
305
|
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| dewey-full | 006.4/221 006.4/2 |
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| dewey-tens | 000 - Computer science, information, general works |
| discipline | Informatik Mathematik |
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| indexdate | 2024-07-09T19:12:50Z |
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| isbn | 038795547X |
| language | English French |
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| spelling | Chalmond, Bernard Verfasser aut Eléments de modélisation pour l'analyse d'images Modeling and inverse problems in imaging analysis Bernard Chalmond Modeling and inverse problems in image analysis New York ; Berlin ; Heidelberg ; Hong Kong ; London ; Milan ; Pa Springer 2003 XXII, 309 S. Ill., graph. Darst. : 24 cm txt rdacontent n rdamedia nc rdacarrier Applied mathematical sciences 155 Literaturverz. S. 289 - 299 Processamento de imagens larpcal Mathematisches Modell Image processing Digital techniques Mathematical models Image analysis Mathematical models Inverse problems (Differential equations) Bildanalyse (DE-588)4145391-8 gnd rswk-swf Spline-Approximation (DE-588)4182394-1 gnd rswk-swf Markov-Modell (DE-588)4168923-9 gnd rswk-swf Markov-Modell (DE-588)4168923-9 s Spline-Approximation (DE-588)4182394-1 s Bildanalyse (DE-588)4145391-8 s DE-604 Applied mathematical sciences 155 (DE-604)BV000005274 155 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010272146&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Chalmond, Bernard Modeling and inverse problems in imaging analysis Applied mathematical sciences Processamento de imagens larpcal Mathematisches Modell Image processing Digital techniques Mathematical models Image analysis Mathematical models Inverse problems (Differential equations) Bildanalyse (DE-588)4145391-8 gnd Spline-Approximation (DE-588)4182394-1 gnd Markov-Modell (DE-588)4168923-9 gnd |
| subject_GND | (DE-588)4145391-8 (DE-588)4182394-1 (DE-588)4168923-9 |
| title | Modeling and inverse problems in imaging analysis |
| title_alt | Eléments de modélisation pour l'analyse d'images Modeling and inverse problems in image analysis |
| title_auth | Modeling and inverse problems in imaging analysis |
| title_exact_search | Modeling and inverse problems in imaging analysis |
| title_full | Modeling and inverse problems in imaging analysis Bernard Chalmond |
| title_fullStr | Modeling and inverse problems in imaging analysis Bernard Chalmond |
| title_full_unstemmed | Modeling and inverse problems in imaging analysis Bernard Chalmond |
| title_short | Modeling and inverse problems in imaging analysis |
| title_sort | modeling and inverse problems in imaging analysis |
| topic | Processamento de imagens larpcal Mathematisches Modell Image processing Digital techniques Mathematical models Image analysis Mathematical models Inverse problems (Differential equations) Bildanalyse (DE-588)4145391-8 gnd Spline-Approximation (DE-588)4182394-1 gnd Markov-Modell (DE-588)4168923-9 gnd |
| topic_facet | Processamento de imagens Mathematisches Modell Image processing Digital techniques Mathematical models Image analysis Mathematical models Inverse problems (Differential equations) Bildanalyse Spline-Approximation Markov-Modell |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010272146&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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