Geometry of digital spaces:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Boston [u.a.]
Birkhäuser
1998
|
| Schriftenreihe: | Applied and numerical harmonic analysis
|
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008251205&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | X, 216 S. graph. Darst. |
| ISBN: | 0817638970 3764338970 |
Internformat
MARC
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Datensatz im Suchindex
| _version_ | 1819298932098859008 |
|---|---|
| adam_text | Contents
Preface vii
Chapter 1 Cloning Flies on Sugar Cubes 1
1.1 What Is Our Game? 1
1.2 A Methodology for Extracting Object Boundaries 4
1.3 Flies in Flatland 5
1.4 Components Determined by Binary Relations 6
1.5 So, What Does a Flat Fly Do? 10
1.6 Back to the Cuberille 14
1.7 Algorithms for Fat Flies 17
1.8 Digraphs 26
1.9 So, What Can a Fat Fly Do? 31
1.10 Algorithms for Cloning Flies 33
1.11 An Efficient Implementation 39
1.12 Exercises 42
Chapter 2 Enhancing the Cube 43
2.1 Why Study Noncubic Grids? 43
2.2 Other Spaces 50
2.3 Exercises 56
Chapter 3 Digital Spaces 57
3.1 The Basic Definitions 57
3.2 Interiors and Exteriors 60
3.3 Connectedness in Digital Spaces 66
3.4 Isomorphisms between Digital Spaces 73
3.5 Exercises 78
Chapter 4 Topological Digital Spaces 81
4.1 What Is a Topology? 81
4.2 Some Topological Digital Spaces 84
4.3 Many Digital Spaces Are Not Topological 88
4.4 Connectedness of Topological Interiors 90
4.5 Exercises 97
vi Contents
Chapter 5 Binary Pictures 101
5.1 Digital Pictures 101
5.2 Fuzzy Segmentation 102
5.3 Boundaries in Binary Pictures 111
5.4 Jordan Pairs of Spel Adjacencies 119
5.5 New Jordan Pairs from Old Ones 127
5.6 Exercises 130
Chapter 6 Simply Connected Digital Spaces 135
6.1 N Simply Connected Digital Spaces 135
6.2 Locally Jordan Surfaces 138
6.3 Applications to Finding Jordan Pairs 142
6.4 1 Simply Connected Digital Spaces 148
6.5 Exercises 152
Chapter 7 Jordan Graphs 155
7.1 The Theory of (Strong) Jordan Graphs 155
7.2 Jordan Surfaces 164
7.3 Spel Manifolds 169
7.4 Exercises 174
Chapter 8 Boundary Tracking 177
8.1 Tracking in Finitary 1 Simply Connected Spaces 177
8.2 Efficient Tracking of Boundary Elements 181
8.3 Boundary Tracking on Hypercubes 185
8.4 Proofs of the Boundary Tracking Claims 190
8.5 Boundary Tracking in the FCC Grid 195
8.6 Pointers to Further Reading 202
8.7 Exercises 202
Appendix List of Symbols 205
References 209
Index 213
|
| any_adam_object | 1 |
| author | Herman, Gabor T. |
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| dewey-search | 621.36/7 |
| dewey-sort | 3621.36 17 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Informatik Mathematik Elektrotechnik / Elektronik / Nachrichtentechnik |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-12-20T10:25:45Z |
| institution | BVB |
| isbn | 0817638970 3764338970 |
| language | English |
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| physical | X, 216 S. graph. Darst. |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | Birkhäuser |
| record_format | marc |
| series2 | Applied and numerical harmonic analysis |
| spellingShingle | Herman, Gabor T. Geometry of digital spaces Geometria larpcal Processamento grafico (graphics) larpcal Computer graphics Geometry Image processing Digital techniques Bildverarbeitung (DE-588)4006684-8 gnd Multivariate Daten (DE-588)4195680-1 gnd Graphentheorie (DE-588)4113782-6 gnd Topologie (DE-588)4060425-1 gnd Visualisierung (DE-588)4188417-6 gnd Computergrafik (DE-588)4010450-3 gnd |
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| title | Geometry of digital spaces |
| title_auth | Geometry of digital spaces |
| title_exact_search | Geometry of digital spaces |
| title_full | Geometry of digital spaces Gabor T. Herman |
| title_fullStr | Geometry of digital spaces Gabor T. Herman |
| title_full_unstemmed | Geometry of digital spaces Gabor T. Herman |
| title_short | Geometry of digital spaces |
| title_sort | geometry of digital spaces |
| topic | Geometria larpcal Processamento grafico (graphics) larpcal Computer graphics Geometry Image processing Digital techniques Bildverarbeitung (DE-588)4006684-8 gnd Multivariate Daten (DE-588)4195680-1 gnd Graphentheorie (DE-588)4113782-6 gnd Topologie (DE-588)4060425-1 gnd Visualisierung (DE-588)4188417-6 gnd Computergrafik (DE-588)4010450-3 gnd |
| topic_facet | Geometria Processamento grafico (graphics) Computer graphics Geometry Image processing Digital techniques Bildverarbeitung Multivariate Daten Graphentheorie Topologie Visualisierung Computergrafik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008251205&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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