Newton methods for image registration: = Newton-Methoden zur Bildregistrierung
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
2012
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| Schlagworte: | |
| Online-Zugang: | Volltext Inhaltsverzeichnis |
| Beschreibung: | 164 S. Ill. |
Internformat
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| 245 | 1 | 0 | |a Newton methods for image registration |b = Newton-Methoden zur Bildregistrierung |c von Martin Schröter |
| 246 | 1 | 1 | |a Newton-Methoden zur Bildregistrierung |
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Datensatz im Suchindex
| _version_ | 1804149343480971264 |
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| adam_text | IMAGE 1
CONTENTS
1 INTRODUCTION 7
1.1 THE PROBLEM 7
1.2 PREVIOUS WORK 10
1.3 AN OVERVIEW 12
2 O P T I M I Z A T I O N M E T H O D S O N M A T R I X LIE G R O U P S
17
2.1 PRELIMINARIES ON MATRIX LIE GROUPS 18
2.1.1 AFFINE VOLUME-PRESERVING TRANSFORMATIONS 18
2.1.2 RIGID-BODY MOTIONS 21
2.2 T H E (/I, Z/)-NEWTON ALGORITHM 22
2.2.1 COST FUNCTIONS WITH GROUP ACTIONS 23
2.3 STOCHASTIC OPTIMIZATION METHODS 33
2.3.1 PRELIMINARIES ON ASYMPTOTIC PSEUDOTRAJECTORIES 33
2.3.2 FLOW-TRACKING ON LIE GROUPS 35
2.3.3 TRACKING METHODS ON MANIFOLDS 45
2.3.4 T H E ROBBINS-MONRO ALGORITHM 47
3 A G E O M E T R I C M O D E L FOR I M A G E R E P R E S E N T A T I O
N 4 9
3.1 FROM 3D POSE-ESTIMATION TO IMAGE REGISTRATION 49
3.2 REPRESENTATION OF AN IMAGE 51
3.3 IMAGE DISTANCE MEASURES 54
3.3.1 SUM OF SQUARED DIFFERENCES 55
3.3.2 MUTUAL INFORMATION 55
3.3.3 ^-DISTANCE 56
3.4 T H E OPTIMIZATION PROBLEM 62
4 TOPICS I N E X A C T I M A G E R E G I S T R A T I O N 6 5
4.1 PRELIMINARIES ON TRANSVERSALITY THEORY 66
4.2 IMAGE APPEARANCE MANIFOLDS WITH FINITE EVALUATIONS 71
4.2.1 PROPERTIES OF SPECIAL GROUP ACTIONS 72
4.2.2 GENERIC PROPERTIES FOR FIXED EVALUATION POINTS 74
4.2.3 GENERIC PROPERTIES FOR FIXED IMAGES 87
5
HTTP://D-NB.INFO/1025835603
IMAGE 2
6
CONTENTS
5 I M A G E R E G . USING A N A P P R O X I M A T E - N E W T O N A L G
. 9 3
5.1 REGISTRATION ON SMOOTH FUNCTION SPACES 94
5.1.1 THE QUASI-MONTE CARLO NEWTON ALGORITHM 94
5.1.2 A GENERIC PROPERTY OF THE COST FUNCTION 98
5.2 REGISTRATION ON SPLINE FUNCTION SPACES 106
5.2.1 MONOMODAL REGISTRATION 107
5.2.2 MULTIMODAL REGISTRATION 110
5.3 EXPERIMENTAL RESULTS 116
5.3.1 VERIFICATION OF THE CONVERGENCE RATE 116
5.3.2 COMPARISON WITH OPTIMIZATION TECHNIQUES ON VECTOR SPACES 120
5.3.3 COMPARISON WITH PREVIOUS REGISTRATION ALGORITHMS 124
6 I M A G E REGISTRATION USING STOCHASTIC O P T I M I Z A T I O N 131
6.1 VARIANTS OF THE ROBBINS-MONRO ALGORITHM 131
6.1.1 AFFINE MONOMODAL REGISTRATION 132
6.1.2 AFFINE MULTIMODAL REGISTRATION . . 135
6.1.3 NON-RIGID REGISTRATION 137
6.2 EXPERIMENTAL RESULTS 140
6.2.1 RIGID REGISTRATION METHODS IN COMPARISON 141
6.2.2 NON-RIGID REGISTRATION METHODS IN COMPARISON 148
A T H E Q U A S I - M O N T E CARLO M E T H O D 151
|
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| author | Schröter, Martin |
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| bvnumber | BV040318291 |
| classification_rvk | SK 905 ST 330 |
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| discipline | Informatik Mathematik |
| format | Thesis Book |
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| indexdate | 2024-07-10T00:21:31Z |
| institution | BVB |
| language | English |
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| physical | 164 S. Ill. |
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| spelling | Schröter, Martin Verfasser (DE-588)1024337456 aut Newton methods for image registration = Newton-Methoden zur Bildregistrierung von Martin Schröter Newton-Methoden zur Bildregistrierung 2012 164 S. Ill. txt rdacontent n rdamedia nc rdacarrier Würzburg, Univ., Diss., 2012 Stochastische Optimierung (DE-588)4057625-5 gnd rswk-swf Registrierung Bildverarbeitung (DE-588)4778903-7 gnd rswk-swf Newton-Verfahren (DE-588)4171693-0 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Newton-Verfahren (DE-588)4171693-0 s Registrierung Bildverarbeitung (DE-588)4778903-7 s Stochastische Optimierung (DE-588)4057625-5 s DE-604 Erscheint auch als Online-Ausgabe urn:nbn:de:bvb:20-opus-71490 https://nbn-resolving.org/urn:nbn:de:bvb:20-opus-71490 Resolving-System kostenfrei Volltext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025172958&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Schröter, Martin Newton methods for image registration = Newton-Methoden zur Bildregistrierung Stochastische Optimierung (DE-588)4057625-5 gnd Registrierung Bildverarbeitung (DE-588)4778903-7 gnd Newton-Verfahren (DE-588)4171693-0 gnd |
| subject_GND | (DE-588)4057625-5 (DE-588)4778903-7 (DE-588)4171693-0 (DE-588)4113937-9 |
| title | Newton methods for image registration = Newton-Methoden zur Bildregistrierung |
| title_alt | Newton-Methoden zur Bildregistrierung |
| title_auth | Newton methods for image registration = Newton-Methoden zur Bildregistrierung |
| title_exact_search | Newton methods for image registration = Newton-Methoden zur Bildregistrierung |
| title_full | Newton methods for image registration = Newton-Methoden zur Bildregistrierung von Martin Schröter |
| title_fullStr | Newton methods for image registration = Newton-Methoden zur Bildregistrierung von Martin Schröter |
| title_full_unstemmed | Newton methods for image registration = Newton-Methoden zur Bildregistrierung von Martin Schröter |
| title_short | Newton methods for image registration |
| title_sort | newton methods for image registration newton methoden zur bildregistrierung |
| title_sub | = Newton-Methoden zur Bildregistrierung |
| topic | Stochastische Optimierung (DE-588)4057625-5 gnd Registrierung Bildverarbeitung (DE-588)4778903-7 gnd Newton-Verfahren (DE-588)4171693-0 gnd |
| topic_facet | Stochastische Optimierung Registrierung Bildverarbeitung Newton-Verfahren Hochschulschrift |
| url | https://nbn-resolving.org/urn:nbn:de:bvb:20-opus-71490 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025172958&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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