Pattern recognition problems in geology and paleontology:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin
Springer
1985
|
| Schriftenreihe: | Lecture notes in earth sciences
2 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VII, 229 S. Ill. |
| ISBN: | 3540139834 0387139834 |
Internformat
MARC
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| 650 | 4 | |a Géologie - Informatique | |
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| 650 | 4 | |a Paléontologie - Informatique | |
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| 650 | 4 | |a Reconnaissance des formes (Informatique) | |
| 650 | 4 | |a Datenverarbeitung | |
| 650 | 4 | |a Geologie | |
| 650 | 4 | |a Mathematisches Modell | |
| 650 | 4 | |a Paläontologie | |
| 650 | 4 | |a Geology |x Data processing | |
| 650 | 4 | |a Geology |x Mathematical models | |
| 650 | 4 | |a Paleontology |x Data processing | |
| 650 | 4 | |a Paleontology |x Mathematical models | |
| 650 | 4 | |a Pattern recognition systems | |
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Datensatz im Suchindex
| _version_ | 1804114968774180864 |
|---|---|
| adam_text | Titel: Pattern recognition problems in geology and paleontology
Autor: Bayer, Ulf
Jahr: 1985
CONTENT
1. INTRODUCTION 1
1.1 Mathematical Geology and Algorithmization 1
1.2 Syntax and Semantics 3
1.3 Stability 4
2. NOISY SYSTEMS AND FOLDED MAPS 8
2.1 Reconstruction of Sediment-Accumulation 10
2.1.1 Accumulation Rates and Deformations of the Time-Scale 11
2.1.2 Estimation of Original Sediment Thickness 12
2.1.3 Underconsolidation of Sediments — a History Effect 16
2.2 Intraspecific Variability of Paleontological Species 19
2.2.1 AUometric Relationships 21
2.2.2 The Ontogenetic Morphospace 23
2.2.3 Discontinuities in the Observed Morphospace 26
2.3 Analysis of Directional Data 29
2.3.1 The Smoothing Error in Two Dimensions 30
2.3.2 Stability of Local Extrema 35
2.3.3 Approximation and Averaging of Data 40
2.3.4 A Topological Excursus 45
2.3.5 Densities, Folds and the Gauss Map 46
2.4 Reconstruction of Surfaces from Scattered Data 51
2.4.1 The Regular Grid 51
2.4.2 Global and Local Extrapolations 54
2.4.3 Linear Interpolation by Minimal Convex Polygons 56
2.4.4 Stability Problems with Minimal Convex Polygons 57
2.4.5 Continuation of a Local Approximation 62
A) A local continuous approximation 62
B) Continuation of a local surface approximation 65
3. NEARLY CHAOTIC BEHAVIOR ON FINITE POINT SETS 70
3.1 Iterated Maps 72
3.1.1 The Logistic Difference Equation 73
3.1.2 The Numerical Approximation of a Partial Differential Equation 76
3.1.3 Infinite Series of Caustics 79
3.2 Chi2-Testing of Directional Data 82
3.3 Problems with Sampling Strategies in Sedimentology 86
3.3.1 Markov Chains in Sedimentology 86
A) Discrete Signals 88
B) Equal Interval Sampling 89
3.3.2 Artificial Pattern Formation in Stratigraphic Pseudo-Time Series 92
A) Sampling of periodic functions 92
B) The analysis of bed thickness by equal distance samples 95
3.4 Centroid Cluster Strategies — Chaos on Finite Point Sets 98
3.4.1 Binary Trees 99
3.4.2 Image Concepts 100
3.4.3 Stability Problems with Centroid Clustering 103
Centroid cluster strategies 104
Instabilities between clusters 106
Instabilities within clusters 106
3.5 Tree Patterns between Chaos and Order 112
3.5.1 Topological Properties of Open Network Patterns 115
3.5.2 Pattern Generators for Open Networks 120
A) Algebraic models — prototypes of branching patterns 120
B) A metric model — the Honda tree 123
3.5.3 Morphology of Branches in Honda Trees 127
A) Length of branches 127
B) Branching angles — similarity and self-similarity 129
C) Branches and bifurcations — a quasi-continuous approximation 131
3.5.4 Evolution of Shape 134
A) Trees, Peano and Jordan curves 135
B) The outline of Honda trees 138
C) Chance and determinism 141
4. STRUCTURAL STABLE PATTERNS AND ELEMENTARY CATASTROPHES 144
4.1 Image Recognition of Three-Dimensional Objects 146
4.1.1 The Two-Dimensional Image of Three-Dimensional Objects 147
4.1.2 The Skeleton of Plane Figures 151
4.1.3 Theoretical Morphology of Worm-Like Objects 153
4.1.4 Continuous Transformations of Form 155
4.2 Surface Inversions in the Seismic Record — the Cusp and Swallowtail
Catastrophes 157
4.2.1 Computer Simulations of Rays, Wave Fronts and Traveltime
Records 160
Linear rays 160
Successive wave fronts 161
Traveltime record 163
4.2.2 Local Surface Approximation 165
4.2.3 Linear Rays, Caustics and the Cusp Catastrophe 167
4.2.4 Wave Fronts and the Swallowtail Catastrophe 172
4.2.5 Wave Front Evolution and the Traveltime Record 174
4.2.6 The Traveltime Record as a Plane Map 176
4.2.7 Singularities on the Reflector Line 179
4.2.8 Generalized Reflection Patterns in Two and Three Dimensions 183
A) The deformed circle and the dual cusp 183
B) Three-dimensional patterns — the double cusp 189
4.2.9 Distributed Receivers 191
4.3 Parallel Systems in Geology 198
4.3.1 Some Examples of Parallel Systems 199
4.3.2 Similar and Parallel Folds 201
4.3.3 Bending at Fold Hinges — the Hyperbolic Umbilic 206
4.3.4 Notation of Strain 210
4.3.5 Generalized Plane Strain in Layered Media 211
4.4 SUMMARY 214
REFERENCES 217
INDEX 226
|
| any_adam_object | 1 |
| author | Bayer, Ulf 1949-2016 |
| author_GND | (DE-588)1127883127 |
| author_facet | Bayer, Ulf 1949-2016 |
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| author_sort | Bayer, Ulf 1949-2016 |
| author_variant | u b ub |
| building | Verbundindex |
| bvnumber | BV000521259 |
| callnumber-first | Q - Science |
| callnumber-label | QE33 |
| callnumber-raw | QE33.2.M3 |
| callnumber-search | QE33.2.M3 |
| callnumber-sort | QE 233.2 M3 |
| callnumber-subject | QE - Geology |
| classification_rvk | RB 10118 |
| classification_tum | GEO 304f GEO 370f DAT 774f |
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| dewey-full | 551/.0724 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 551 - Geology, hydrology, meteorology |
| dewey-raw | 551/.0724 |
| dewey-search | 551/.0724 |
| dewey-sort | 3551 3724 |
| dewey-tens | 550 - Earth sciences |
| discipline | Geowissenschaften Geologie / Paläontologie Informatik Geographie |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T15:15:09Z |
| institution | BVB |
| isbn | 3540139834 0387139834 |
| language | English |
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| physical | VII, 229 S. Ill. |
| publishDate | 1985 |
| publishDateSearch | 1985 |
| publishDateSort | 1985 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in earth sciences |
| series2 | Lecture notes in earth sciences |
| spelling | Bayer, Ulf 1949-2016 Verfasser (DE-588)1127883127 aut Pattern recognition problems in geology and paleontology Ulf Bayer Berlin Springer 1985 VII, 229 S. Ill. txt rdacontent n rdamedia nc rdacarrier Lecture notes in earth sciences 2 Géologie - Informatique Géologie - Mathématiques Paléontologie - Informatique Paléontologie - Mathématiques Reconnaissance des formes (Informatique) Datenverarbeitung Geologie Mathematisches Modell Paläontologie Geology Data processing Geology Mathematical models Paleontology Data processing Paleontology Mathematical models Pattern recognition systems Mustererkennung (DE-588)4040936-3 gnd rswk-swf Paläontologie (DE-588)4044375-9 gnd rswk-swf Geologie (DE-588)4020227-6 gnd rswk-swf Methode (DE-588)4038971-6 gnd rswk-swf Statistik (DE-588)4056995-0 gnd rswk-swf Geologie (DE-588)4020227-6 s Statistik (DE-588)4056995-0 s Methode (DE-588)4038971-6 s DE-604 Paläontologie (DE-588)4044375-9 s Mustererkennung (DE-588)4040936-3 s Lecture notes in earth sciences 2 (DE-604)BV023550940 2 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000321353&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bayer, Ulf 1949-2016 Pattern recognition problems in geology and paleontology Lecture notes in earth sciences Géologie - Informatique Géologie - Mathématiques Paléontologie - Informatique Paléontologie - Mathématiques Reconnaissance des formes (Informatique) Datenverarbeitung Geologie Mathematisches Modell Paläontologie Geology Data processing Geology Mathematical models Paleontology Data processing Paleontology Mathematical models Pattern recognition systems Mustererkennung (DE-588)4040936-3 gnd Paläontologie (DE-588)4044375-9 gnd Geologie (DE-588)4020227-6 gnd Methode (DE-588)4038971-6 gnd Statistik (DE-588)4056995-0 gnd |
| subject_GND | (DE-588)4040936-3 (DE-588)4044375-9 (DE-588)4020227-6 (DE-588)4038971-6 (DE-588)4056995-0 |
| title | Pattern recognition problems in geology and paleontology |
| title_auth | Pattern recognition problems in geology and paleontology |
| title_exact_search | Pattern recognition problems in geology and paleontology |
| title_full | Pattern recognition problems in geology and paleontology Ulf Bayer |
| title_fullStr | Pattern recognition problems in geology and paleontology Ulf Bayer |
| title_full_unstemmed | Pattern recognition problems in geology and paleontology Ulf Bayer |
| title_short | Pattern recognition problems in geology and paleontology |
| title_sort | pattern recognition problems in geology and paleontology |
| topic | Géologie - Informatique Géologie - Mathématiques Paléontologie - Informatique Paléontologie - Mathématiques Reconnaissance des formes (Informatique) Datenverarbeitung Geologie Mathematisches Modell Paläontologie Geology Data processing Geology Mathematical models Paleontology Data processing Paleontology Mathematical models Pattern recognition systems Mustererkennung (DE-588)4040936-3 gnd Paläontologie (DE-588)4044375-9 gnd Geologie (DE-588)4020227-6 gnd Methode (DE-588)4038971-6 gnd Statistik (DE-588)4056995-0 gnd |
| topic_facet | Géologie - Informatique Géologie - Mathématiques Paléontologie - Informatique Paléontologie - Mathématiques Reconnaissance des formes (Informatique) Datenverarbeitung Geologie Mathematisches Modell Paläontologie Geology Data processing Geology Mathematical models Paleontology Data processing Paleontology Mathematical models Pattern recognition systems Mustererkennung Methode Statistik |
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