Variational models in image processing with applications in the materials sciences:
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
München
Dr. Hut
2017
|
| Schriftenreihe: | Mathematik
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| Schlagworte: | |
| Online-Zugang: | Inhaltstext Inhaltsverzeichnis |
| Beschreibung: | xix, 215 Seiten Illustrationen, Diagramme 21 cm x 14.8 cm, 361 g |
| ISBN: | 9783843932455 384393245X |
Internformat
MARC
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| 245 | 1 | 0 | |a Variational models in image processing with applications in the materials sciences |c Jan Henrik Fitschen |
| 264 | 1 | |a München |b Dr. Hut |c 2017 | |
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Datensatz im Suchindex
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| adam_text |
Contents
List of Publications xi
Notation and Symbols xiii
1 Introduction 1
1 1 Variational Models 2
111 Continuous Variational Models 3
112 Discrete Variational Models 7
1 2 Algorithms 8
121 Proximal Operators 10
1 3 Contributions and Outline 12
2 Physical Preliminaries 17
2 1 Deformation Tests 17
211 Elastic and Plastic Deformation 18
212 Tensile Tests 19
213 Compression Tests 20
214 Fatigue Tests 21
2 2 Metal Matrix Composites 21
2 3 Focused Ion Beam Tomography 24
2 4 Electron Backscatter Diffraction 25
241 Crystal Classes 25
242 Image Acquisition 27
3 Removal of Curtaining Effects 31
3 1 Introduction 32
3 2 Model 35
3 3 Algorithm 37
3 4 Modification of the Model for Non-Vertical Stripes 39
3 5 Numerical Examples 40
351 Artificial Data 41
352 FIB Data 43
353 MODIS Data 46
354 Non-Vertical Stripes 46
3 6 Conclusions 47
vii
Contents
4 Segmentation of Images with Intensity Inhomogeneities 49
4 1 Introduction 50
4 2 Model 52
4 3 Algorithm 57
4 4 Numerical Examples 62
441 Artificial 2D Images 63
442 Medical Images 64
443 3D FIB Tomography Images 66
4 5 Conclusions 66
5 A Variational Model for Color Assignment 69
5 1 Introduction 70
5 2 Hue Preservation 71
5 3 Model 73
5 4 Algorithm 76
5 5 Numerical Examples 77
5 6 Conclusions 79
6 Strain Analysis by a TGV Regularized Optical Flow Model 83
6 1 Introduction 84
6 2 Model 86
6 3 Algorithms 91
6 4 Numerical Examples 97
641 Artificial Examples 97
642 Tensile Tests with AMC 98
643 Comparison to Correlation Based Methods 103
644 Results for Other Materials and Experimental Settings 103
6 5 Conclusions 106
7 Electron Backscatter Diffraction Analysis 109
7 1 Preliminaries on Manifolds 110
711 Quotient Manifolds 11
712 Lie Groups and Lie Algebras 11
713 Embeddings of Manifolds 121
7 2 Representation of EBSD Data 12
7 3 Visualization of EBSD Data 13
7 4 Labeling and Segmentation 13
741 Introduction 13
742 Multiplicative Filtering Algorithm for Label Assignment Ma-
trices 13
743 Convergence Analysis for e=0 14
744 Interpretation of the Iteration Steps as Gradient Ascent Re-
projection Algorithm 14
745 Relation to the Numerical Scheme in [10] 14
747 Conclusions 160
7 5 Transferring First and Second Order Differences to Manifolds 161
7 6 Complexity 163
761 Preliminaries in Complexity Theory 164
762 NP Hardness of Manifold-Valued Problems 165
763 Conclusions 173
7 7 IC and TGV of Manifold-Valued Images 173
771 Introduction 173
772 Extrinsic IC and TGV Model 174
773 Intrinsic Infimal Convolution Model 177
774 Numerical Examples 180
775 Conclusions 184
Bibliography 187
Index 209
Scientific Career 213
Wissenschaftlicher Werdegang 215 |
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| author | Fitschen, Jan Henrik |
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| dewey-ones | 510 - Mathematics |
| dewey-raw | 510 |
| dewey-search | 510 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| spelling | Fitschen, Jan Henrik Verfasser (DE-588)1141836378 aut Variational models in image processing with applications in the materials sciences Jan Henrik Fitschen München Dr. Hut 2017 xix, 215 Seiten Illustrationen, Diagramme 21 cm x 14.8 cm, 361 g txt rdacontent n rdamedia nc rdacarrier Mathematik Dissertation Technische Universität Kaiserslautern 2017 Werkstoffkunde (DE-588)4079184-1 gnd rswk-swf Bildverarbeitung (DE-588)4006684-8 gnd rswk-swf Variationsrechnung (DE-588)4062355-5 gnd rswk-swf material science focused ion beam tomography imaging techniques (DE-588)4113937-9 Hochschulschrift gnd-content Variationsrechnung (DE-588)4062355-5 s Bildverarbeitung (DE-588)4006684-8 s Werkstoffkunde (DE-588)4079184-1 s DE-604 Verlag Dr. Hut (München) (DE-588)10174118-2 pbl X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=0599986199ae4cf3a302c49265d75d5c&prov=M&dok_var=1&dok_ext=htm Inhaltstext HEBIS Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029944471&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Fitschen, Jan Henrik Variational models in image processing with applications in the materials sciences Werkstoffkunde (DE-588)4079184-1 gnd Bildverarbeitung (DE-588)4006684-8 gnd Variationsrechnung (DE-588)4062355-5 gnd |
| subject_GND | (DE-588)4079184-1 (DE-588)4006684-8 (DE-588)4062355-5 (DE-588)4113937-9 |
| title | Variational models in image processing with applications in the materials sciences |
| title_auth | Variational models in image processing with applications in the materials sciences |
| title_exact_search | Variational models in image processing with applications in the materials sciences |
| title_full | Variational models in image processing with applications in the materials sciences Jan Henrik Fitschen |
| title_fullStr | Variational models in image processing with applications in the materials sciences Jan Henrik Fitschen |
| title_full_unstemmed | Variational models in image processing with applications in the materials sciences Jan Henrik Fitschen |
| title_short | Variational models in image processing with applications in the materials sciences |
| title_sort | variational models in image processing with applications in the materials sciences |
| topic | Werkstoffkunde (DE-588)4079184-1 gnd Bildverarbeitung (DE-588)4006684-8 gnd Variationsrechnung (DE-588)4062355-5 gnd |
| topic_facet | Werkstoffkunde Bildverarbeitung Variationsrechnung Hochschulschrift |
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