Information theory tools for visualization:
Saved in:
| Main Authors: | , , , , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boca Raton [u.a.]
Taylor & Francis, CRC Press
2017
|
| Series: | A K Peters visualization series
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Includes bibliographical references and index |
| Physical Description: | XIII, 194 Seiten Illustrationen, Diagramme (überwiegend farbig) |
| ISBN: | 9781032339924 9781498740937 |
Staff View
MARC
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Record in the Search Index
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Contents
Foreword ix
Preface xi
Chapter 1 ■ Basic Concepts of Information Theory 1
1.1 ENTROPY 2
1.2 RELATIVE ENTROPY AND MUTUAL INFORMATION 4
1.3 INFORMATION SPECIFIC TO A PARTICULAR SYMBOL 6
1.4 ENTROPY RATE 8
1.5 JENSEN-SHANNON DIVERGENCE 10
1.6 INFORMATION BOTTLENECK METHOD 11
1.7 SUMMARY 12
Chapter 2 ■ Visualization and Information Theory 15
2.1 INFORMATION-THEORETIC MEASURES IN
VISUALIZATION 17
2.1.1 Alphabets and Letters 17
2.1.2 Quantifying Visual Information 18
2.1.3 Information Sources and Communication
Channels 22
2.1.3.1 Information Sources 22
2.1.3.2 Channels 24
2.1.4 Visual Coding in Noiseless Channels 26
2.1.5 Visual Coding in Noisy Channels 27
2.2 INFORMATION-THEORETIC LAWS FOR VISUALIZATION 29
2.3 INFORMATION-THEORETIC PROCESS OPTIMIZATION 32
2.3.1 Data Processing Inequality 34
vi ■ Contents
2.3.2 Transformation of Alphabets in a Visualization
Process 34
2.3.3 Cost-Benefit Measures for Visualization Processes 36
2.3.4 Examples of Cost-Benefit Analysis 41
2.3.4.1 Interaction in Visualization 42
2.3.4.2 Disseminative Visualization 45
2.3.4.3 Observational Visualization 46
2.3.4.4 Analytical Visualization 47
2.3.4.5 Model-Developmental Visualization 48
2.4 INFORMATION-THEORETIC LINKS: VISUALIZATION AND
PERCEPTION 49
2.4.1 Visual Multiplexing 49
2.4.1.1 Multiplexing in Communication 49
2.4.1.2 Multiplexing in Visualization 49
2.4.1.3 Multiplexing and Information-
Theoretic Measures 55
2.4.2 Information-Theoretic Quality Metrics 57
2.4.2.1 Differentiability of Glyphs 58
2.4.2.2 Hamming Distance 58
2.4.2.3 Quasi-Hamming Distance for Glyph
Design 60
2.4.3 User Studies in the Information-Theoretic
Framework 63
2.5 SUMMARY 64
Chapter 3 ■ Viewpoint Metrics and Applications 65
3.1 VIEWPOINT METRICS AND BASIC APPLICATIONS 65
3.2 FROM POLYGONS TO VOLUMES 66
3.2.1 Isosurfaces 66
3.2.2 Volumetric Data 67
3.3 VISIBILITY CHANNEL IN VOLUME VISUALIZATION 71
3.3.1 Visibility Channel 71
3.3.2 Voxel Information 74
3.4 IMPORTANCE-DRIVEN FOCUS OF ATTENTION 75
3.5 VIEWPOINT SELECTION USING VOXEL INFORMATION 79
3.6 APPLICATION TO ILLUSTRATIVE RENDERING 80
Contents ■ vii
3.6.1 Ambient Occlusion 80
3.6.2 Color Ambient Occlusion 86
3.7 SUMMARY 86
Chapter 4 ■ Volume Visualization 89
4.1 TIME-VARYING DATA 90
4.2 LEVEL-OF-DETAIL CHARACTERIZATION 95
4.3 ISOSURFACES 97
4.4 SPLITTING 104
4.5 TRANSFER FUNCTION DESIGN 106
4.6 MULTIMODAL VOLUME VISUALIZATION 114
4.7 SUMMARY 123
Chapter 5 ■ Flow Visualization 125
5.1 COMPLEXITY MEASURE OF VECTOR FIELDS 126
5.1.1 Entropy Field 127
5.2 COMPLEXITY MEASURES OF STREAMLINES 129
5.2.1 Information Complexity of Streamlines 129
5.2.2 Geometric Complexity of Streamlines 131
5.2.2.1 Construction of Histograms 131
5.2.3 Streamline Segmentation 133
5.3 INFORMATION-AWARE STREAMLINE SEEDING 134
5.3.1 View-Independent Method 134
5.3.1.1 Initial Seeding 134
5.3.1.2 Importance-Based Seed Insertion 134
5.3.1.3 Redundant Streamline Pruning 136
5.3.1.4 Reconstructing a Vector Field from
Streamlines 136
5.3.1.5 Seed Selection Result 137
5.3.2 View-Dependent Method 138
5.3.2.1 Maximal Entropy Projection (MEP) 138
5.3.2.2 Seed Placement 139
5.3.2.3 Entropy-Based Streamline Selection 141
5.3.2.4 Finding Optimal Views 142
5.4 INFORMATION CHANNELS FOR FLOW VISUALIZATION 143
viii ■ Contents
5.5 SUMMARY 146
Chapter 6 ■ Information Visualization 149
6.1 THEORETICAL FOUNDATIONS OF INFORMATION
VISUALIZATION 151
6.2 QUALITY METRICS FOR DATA VISUALIZATION 152
6.3 IT METRICS FOR PARALLEL COORDINATES 153
6.4 MAXIMUM ENTROPY SUMMARY TREES 156
6.4.1 How to Construct a Maximum Entropy
Summary Tree 159
6.5 MULTIVARIATE DATA EXPLORATION 159
6.5.1 Variable Entropy 160
6.5.2 Mutual Information between Variables 161
6.5.3 Specific Information 163
6.6 TIME-VARYING MULTIVARIATE DATA 164
6.6.1 Transfer Entropy 165
6.6.2 Visualization of Information Transfer 167
6.7 PRIVACY AND UNCERTAINTY 167
6.7.1 Metrics for Uncertainty 168
6.8 MUTUAL INFORMATION DIAGRAM 170
6.8.1 The Taylor Diagram 171
6.8.2 Mutual Information Diagram 172
6.8.3 Properties of the MI Diagram 175
6.9 SUMMARY 175
Bibliography 177
Index 191 |
| any_adam_object | 1 |
| author | Chen, Min 1960- Feixas, Miquel ca. 20./21. Jh Viola, Ivan Bardera, Anton ca. 20./21. Jh Shen, Han-Wei ca. 20./21. Jh Sbert, Mateu ca. 20./21. Jh |
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| author_facet | Chen, Min 1960- Feixas, Miquel ca. 20./21. Jh Viola, Ivan Bardera, Anton ca. 20./21. Jh Shen, Han-Wei ca. 20./21. Jh Sbert, Mateu ca. 20./21. Jh |
| author_role | aut aut aut aut aut aut |
| author_sort | Chen, Min 1960- |
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| classification_rvk | ST 320 |
| ctrlnum | (OCoLC)1050938070 (DE-599)BVBBV045081300 |
| dewey-full | 001.4/226 |
| dewey-hundreds | 000 - Computer science, information, general works |
| dewey-ones | 001 - Knowledge |
| dewey-raw | 001.4/226 |
| dewey-search | 001.4/226 |
| dewey-sort | 11.4 3226 |
| dewey-tens | 000 - Computer science, information, general works |
| discipline | Allgemeines Informatik |
| format | Book |
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| institution | BVB |
| isbn | 9781032339924 9781498740937 |
| language | English |
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| physical | XIII, 194 Seiten Illustrationen, Diagramme (überwiegend farbig) |
| publishDate | 2017 |
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| spelling | Chen, Min 1960- (DE-588)121504298 aut Information theory tools for visualization Min Chen, Miquel Feixas, Ivan Viola, Anton Bardera, Han-Wei Shen, and Mateu Sbert Boca Raton [u.a.] Taylor & Francis, CRC Press 2017 XIII, 194 Seiten Illustrationen, Diagramme (überwiegend farbig) txt rdacontent n rdamedia nc rdacarrier A K Peters visualization series Includes bibliographical references and index Information visualization Information theory Visualisierung (DE-588)4188417-6 gnd rswk-swf Informationstheorie (DE-588)4026927-9 gnd rswk-swf Informationstheorie (DE-588)4026927-9 s Visualisierung (DE-588)4188417-6 s DE-604 Feixas, Miquel ca. 20./21. Jh. Verfasser (DE-588)1266776311 aut Viola, Ivan Verfasser (DE-588)1267448121 aut Bardera, Anton ca. 20./21. Jh. Verfasser (DE-588)1266777350 aut Shen, Han-Wei ca. 20./21. Jh. Verfasser (DE-588)1266786929 aut Sbert, Mateu ca. 20./21. Jh. Verfasser (DE-588)1267448245 aut Erscheint auch als Online-Ausgabe 978-1-03-233992-4 Digitalisierung UB Passau - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030472265&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Chen, Min 1960- Feixas, Miquel ca. 20./21. Jh Viola, Ivan Bardera, Anton ca. 20./21. Jh Shen, Han-Wei ca. 20./21. Jh Sbert, Mateu ca. 20./21. Jh Information theory tools for visualization Information visualization Information theory Visualisierung (DE-588)4188417-6 gnd Informationstheorie (DE-588)4026927-9 gnd |
| subject_GND | (DE-588)4188417-6 (DE-588)4026927-9 |
| title | Information theory tools for visualization |
| title_auth | Information theory tools for visualization |
| title_exact_search | Information theory tools for visualization |
| title_full | Information theory tools for visualization Min Chen, Miquel Feixas, Ivan Viola, Anton Bardera, Han-Wei Shen, and Mateu Sbert |
| title_fullStr | Information theory tools for visualization Min Chen, Miquel Feixas, Ivan Viola, Anton Bardera, Han-Wei Shen, and Mateu Sbert |
| title_full_unstemmed | Information theory tools for visualization Min Chen, Miquel Feixas, Ivan Viola, Anton Bardera, Han-Wei Shen, and Mateu Sbert |
| title_short | Information theory tools for visualization |
| title_sort | information theory tools for visualization |
| topic | Information visualization Information theory Visualisierung (DE-588)4188417-6 gnd Informationstheorie (DE-588)4026927-9 gnd |
| topic_facet | Information visualization Information theory Visualisierung Informationstheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030472265&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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