Geostatistical simulation: models and algorithms ; with 5 tables
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2002
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 256 256 S. Ill., graph. Darst. |
| ISBN: | 3540422021 |
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| 245 | 1 | 0 | |a Geostatistical simulation |b models and algorithms ; with 5 tables |c Christian Lantuéjoul |
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Record in the Search Index
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| adam_text |
CHRISTIAN LANTUEJOUL GEOSTATISTICAL SIMULATION MODELS AND ALGORITHMS
WITH 185 FIGURES AND 5 TABLES SPRINGER TABLE OF CONTENTS 1. INTRODUCTION
1 I 1.1 SIMULATION VERSUS ESTIMATION 1 I 1.2 MODELS, SIMULATIONS AND
ALGORITHMS 2 *; 1.3 OUTLINE OF THIS BOOK 4 I 1.3.1 THE TOOLS 4 F 1.3.2
THE ALGORITHMS 4 * 1.3.3 THE MODELS 5 PART I. THE TOOLS 2. INVESTIGATING
STOCHASTIC MODELS 9 2.1 DEFINITION OF A PROBABILITY SPACE 9 2.2 RANDOM
FUNCTIONS 10 2.3 RANDOM SETS 11 2.4 RANDOM POINT PROCESSES 16 2.5 RANDOM
POPULATIONS OF OBJECTS 17 3. VARIOGRAPHIC TOOLS 21 3.1 THE COVARIOGRAMS
21 3.1.1 THE TRANSITIVE COVARIOGRAM 21 3.1.2 THE GEOMETRIC COVARIOGRAM
22 3.2 THE COVARIANCE FUNCTION AND THE VARIOGRAM 24 3.2.1 DEFINITIONS
AND GENERAL PROPERTIES 24 3.2.2 THE INDICATOR VARIOGRAM 26 4. THE
INTEGRAL RANGE 29 4.1 AN ESTIMATION PROBLEM 29 4.2 THE INTEGRAL RANGE 30
4.3 PRACTICAL ASSESSMENT OF THE INTEGRAL RANGE 32 5. BASIC MORPHOLOGICAL
CONCEPTS 39 5.1 DILATION AND EROSION 39 5.2 OPENING AND CLOSING 41 5.3
HAUSDORFF DISTANCE 42 TABLE OF CONTENTS 5.4 OBJECT DETECTION 43 6.
STEREOLOGY: SOME BASIC NOTIONS 47 6.1 THE CONVEX MODEL 47 6.1.1 THE
MINKOWSKI FUNCTIONALS 47 6.1.2 THE FORMULAE 49 6.2 THE POLYCONVEX MODEL
51 6.2.1 EULER-POINCARE CHARACTERISTIC 52 6.2.2 EXTENSION OF THE
MINKOWSKI FUNCTIONALS 52 PART II. THE ALGORITHMS 7. BASICS ABOUT
SIMULATIONS 57 7.1 UNIFORM DISTRIBUTIONS 57 7.1.1 UNIFORM DISTRIBUTION
IN ]0,1[ 57 7.1.2 UNIFORM DISTRIBUTION ON A BOUNDED DOMAIN OF M D .
60 7.2 NON-UNIFORM DISTRIBUTION 61 7.2.1 INVERSION METHOD 61 7.2.2
ACCEPTANCE-REJECTION METHOD 62 7.2.3 AD HOC METHODS 64 8. ITERATIVE
ALGORITHMS FOR SIMULATION 67 8.1 SOME REMINDERS ON MARKOV CHAINS 67
8.1.1 MARKOV CHAIN 67 8.1.2 CONVERGENCE 68 8.1.3 SOME FEATURES OF A
TRANSITION KERNEL 69 8.2 METROPOLIS ALGORITHM 71 8.3 A HIT-AND-R.UN
ALGORITHM 74 8.3.1 A STEREOLOGICAL ALGORITHM 74 8.3.2 A UNIFORM GIBBS
SAMPLER 76 8.3.3 A MORE GENERAL HIT-AND-RUN ALGORITHM 78 8.4 APPLICATION
TO CONDITIONAL SIMULATIONS 80 8.4.1 RESTRICTING THE TRANSITION KERNEL 80
8.4.2 SIMULATED ANNEALING 82 9. RATE OF CONVERGENCE OF ITERATIVE
ALGORITHMS 87 9.1 RATES OF CONVERGENCE 87 9.2 MINORIZATION 88 9.3
ISOFACTORIAL REPRESENTATION 90 9.4 EMPIRICAL DETERMINATION OF THE RATE
OF CONVERGENCE 95 TABLE OF CONTENTS 10. EXACT SIMULATIONS 101 10.1 PROPP
AND WILSON'S ALGORITHM 101 10.1.1 PRINCIPLES 101 10.1.2 CONDITION FOR A
SINGLETON 104 10.1.3 MONOTONIC MONTE CARLO 107 10.2 FILL'S ALGORITHM ILL
PART III. THE MODELS 11. POINT PROCESSES 119 11.1 THE POISSON POINT
PROCESS 120 11.1.1 THE HOMOGENEOUS POISSON POINT PROCESS 120 11.1.2 THE
NON-HOMOGENEOUS POISSON POINT PROCESS 122 11.2 CONDITIONAL SIMULATION OF
A POISSON POINT PROCESS 124 11.3 THE COX PROCESS 129 12. TESSELLATIONS
133 12.1 STATISTICAL CHARACTERIZATION OF A TESSELLATION 133 12.1.1
PARTITION POINT OF VIEW 133 12.1.2 RANDOM FUNCTION POINT OF VIEW 134
12.1.3 CELL POPULATION POINT OF VIEW 135 12.2 VORONOI TESSELLATION 136
12.2.1 DEFINITION AND BASIC PROPERTIES 136 12.2.2 SIMULATION 137 12.3
POISSON TESSELLATION 144 12.3.1 DEFINITION AND BASIC PROPERTIES 144
12.3.2 SIMULATION 146 13. BOOLEAN MODEL 153 13.1 DEFINITION AND BASIC
PROPERTIES 153 13.1.1 DEFINITION 153 13.1.2 AVOIDING FUNCTIONAL 155
13.1.3 STABILITY PROPERTIES 156 13.2 SIMULATION 157 13.2.1 NON
CONDITIONAL SIMULATION 158 13.2.2 CONDITIONAL SIMULATION 159 14. OBJECT
BASED MODELS 167 14.1 RANDOM TOKEN MODEL 167 14.1.1 DEFINITION AND BASIC
PROPERTIES 167 14.1.2 SIMULATION 169 14.2 BOOLEAN RANDOM FUNCTION 171
14.2.1 DEFINITION AND BASIC PROPERTIES 171 14.2.2 SIMULATION 173 TABLE
OF CONTENTS 14.3 THE DEAD LEAVES MODEL 175 14.3.1 DEFINITION AND BASIC
PROPERTIES 175 14.3.2 SIMULATION 178 15. GAUSSIAN RANDOM FUNCTION 183
15.1 DEFINITION AND BASIC PROPERTIES 183 15.1.1 RESULTS FROM PROBABILITY
183 15.1.2 DEFINITION OF A GAUSSIAN RANDOM FUNCTION 185 15.1.3 TEXTURES
OF THE REALIZATIONS 186 15.2 NON CONDITIONAL SIMULATION 189 15.2.1 THE
DILUTION METHOD 190 15.2.2 THE TESSELLATION METHOD 191 15.2.3 THE
SPECTRAL METHOD 191 15.2.4 THE TURNING BANDS METHOD 192 15.2.5 HOW MANY
RANDOM FUNCTIONS? 197 15.3 CONDITIONAL SIMULATION 199 16. GAUSSIAN
VARIATIONS 205 16.1 EXCURSION SET OF A GAUSSIAN RANDOM FUNCTION 205
16.1.1 DEFINITION AND BASIC PROPERTIES 205 16.1.2 CONDITIONAL SIMULATION
208 16.2 PLURIGAUSSIAN RANDOM FUNCTION 211 16.2.1 DEFINITION AND
EXAMPLES 211 16.2.2 SPATIAL DISTRIBUTION 214 16.2.3 CONDITIONAL
SIMULATION 216 17. SUBSTITUTION RANDO M FUNCTIONS 221 17.1 DEFINITION
AND MAIN PROPERTIES 221 17.2 SOME EXAMPLES 224 17.2.1 A BASIC EXAMPLE
224 17.2.2 GEOMETRY 227 17.2.3 TOPOLOGY 230 17.3 CONDITIONAL SIMULATION
232 |
| any_adam_object | 1 |
| author | Lantuéjoul, Christian |
| author_facet | Lantuéjoul, Christian |
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| dewey-full | 550.113 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 550 - Earth sciences |
| dewey-raw | 550.113 |
| dewey-search | 550.113 |
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| discipline | Geowissenschaften Geologie / Paläontologie Mathematik Geographie |
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| indexdate | 2024-12-06T09:03:25Z |
| institution | BVB |
| isbn | 3540422021 |
| language | English |
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| physical | 256 256 S. Ill., graph. Darst. |
| publishDate | 2002 |
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| publisher | Springer |
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| spelling | Lantuéjoul, Christian Verfasser aut Geostatistical simulation models and algorithms ; with 5 tables Christian Lantuéjoul Berlin [u.a.] Springer 2002 256 256 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Geostatistik - Statistisches Modell Geologie Geological modeling Computer simulation Geology Statistical methods Monte Carlo method Simulation (DE-588)4055072-2 gnd rswk-swf Geostatistik (DE-588)4020279-3 gnd rswk-swf Statistisches Modell (DE-588)4121722-6 gnd rswk-swf Geostatistik (DE-588)4020279-3 s Statistisches Modell (DE-588)4121722-6 s DE-604 Simulation (DE-588)4055072-2 s DE-188 HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009498752&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Lantuéjoul, Christian Geostatistical simulation models and algorithms ; with 5 tables Geostatistik - Statistisches Modell Geologie Geological modeling Computer simulation Geology Statistical methods Monte Carlo method Simulation (DE-588)4055072-2 gnd Geostatistik (DE-588)4020279-3 gnd Statistisches Modell (DE-588)4121722-6 gnd |
| subject_GND | (DE-588)4055072-2 (DE-588)4020279-3 (DE-588)4121722-6 |
| title | Geostatistical simulation models and algorithms ; with 5 tables |
| title_auth | Geostatistical simulation models and algorithms ; with 5 tables |
| title_exact_search | Geostatistical simulation models and algorithms ; with 5 tables |
| title_full | Geostatistical simulation models and algorithms ; with 5 tables Christian Lantuéjoul |
| title_fullStr | Geostatistical simulation models and algorithms ; with 5 tables Christian Lantuéjoul |
| title_full_unstemmed | Geostatistical simulation models and algorithms ; with 5 tables Christian Lantuéjoul |
| title_short | Geostatistical simulation |
| title_sort | geostatistical simulation models and algorithms with 5 tables |
| title_sub | models and algorithms ; with 5 tables |
| topic | Geostatistik - Statistisches Modell Geologie Geological modeling Computer simulation Geology Statistical methods Monte Carlo method Simulation (DE-588)4055072-2 gnd Geostatistik (DE-588)4020279-3 gnd Statistisches Modell (DE-588)4121722-6 gnd |
| topic_facet | Geostatistik - Statistisches Modell Geologie Geological modeling Computer simulation Geology Statistical methods Monte Carlo method Simulation Geostatistik Statistisches Modell |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009498752&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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