Hypercomplex spectral signal representations for the processing and analysis of images:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
Kiel
Univ.
1999
|
| Schriftenreihe: | Institut für Informatik und Praktische Mathematik <Kiel>: Bericht
9903 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Zsfassung in dt. Sprache |
| Beschreibung: | VIII, 161 S. Ill., graph. Darst. |
Internformat
MARC
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| 100 | 1 | |a Bülow, Thomas |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Hypercomplex spectral signal representations for the processing and analysis of images |c Thomas Bülow |
| 264 | 1 | |a Kiel |b Univ. |c 1999 | |
| 300 | |a VIII, 161 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Institut für Informatik und Praktische Mathematik <Kiel>: Bericht |v 9903 | |
| 500 | |a Zsfassung in dt. Sprache | ||
| 502 | |a Zugl.: Kiel, Univ., Diss., 1999 | ||
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Datensatz im Suchindex
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| adam_text |
CONTENTS
1
INTRODUCTION
1
1.1
MOTIVATION
.
1
1.2
RELATED
WORK
.
4
1.3
STRUCTURE
OF
THE
THESIS
.
6
2
HARMONIC
TRANSFORMS
9
2.1
THE
QUATERNION
ALGEBRA
.
10
2.1.1
GEOMETRIC
INTERPRETATION
OF
H
.
16
2.1.2
THE
QUATEMIONIC
PHASE-ANGLE
.
16
2.2
THE
QUATEMIONIC
FOURIER
TRANSFORM
.
22
2.2.1
DEFINITION
AND
PROPERTIES
OF
THE
QFT
.
22
2.2.2
MAIN
THEOREMS
.
25
2.2.3
DQFTANDFQFT
.
38
2.2.4
LITERATURE
ON
THE
QFT
.
41
2.3
THE
HARTLEY
TRANSFORM
.
42
2.4
THE
HIERARCHY
OF
2D
HARMONIC
TRANSFORMS
.
44
2.5
HYPERCOMPLEX
FOURIER
TRANSFORMS
IN
ND
.
47
2.5.1
THE
CLIFFORD
ALGEBRA
CLN
.
47
2.5.2
CLIFFORD
FOURIER
TRANSFORMS
.
48
VI
CONTENTS
2.5.3
HYPERCOMPLEX
NUMBERS
.
49
2.5.4
COMMUTATIVE
HYPERCOMPLEX
ALGEBRAS
.
50
2.5.5
COMMUTATIVE
HYPERCOMPLEX
FOURIER
TRANSFORMS
.
53
2.6
SUMMARY
.
57
3
THE
PHASE
CONCEPT
59
3.1
THE
ANALYTIC
SIGNAL
.
61
3.1.1
THE
ID
ANALYTIC
SIGNAL
.
63
3.1.2
APPROACHES
TO
AN
ANALYTIC
SIGNAL
IN
2D
.
66
3.1.3
THE
QUATEMIONIC
ANALYTIC
SIGNAL
.
72
3.1.4
COMPARISON
OF
THE
DIFFERENT
APPROACHES
TO
THE
2D
ANALYTIC
SIGNAL
.
74
3.2
GABOR
FILTERS
AND
THE
LOCAL
PHASE
.
77
3.2.1
COMPLEX
GABOR
FILTERS
.
78
3.2.2
LOCAL
PHASE
IN
ID
.
81
3.2.3
QUATEMIONIC
GABOR
FILTERS
.
83
3.2.4
LOCAL
PHASE
IN
2D
.
84
3.2.5
SOME
PROPERTIES
OF
QUATEMIONIC
GABOR
FILTERS
.
89
3.3
SUMMARY
.
108
4
APPLICATIONS
111
4.1
NOTATION
.
ILL
4.2
DISPARITY
ESTIMATION
.
113
4.2.1
THE
PROBLEM
.
113
4.2.2
METHODS
FOR
SOLVING
THE
DISPARITY
ESTIMATION
PROBLEM
.
114
4.2.3
QUATEMIONIC
PHASE-BASED
DISPARITY
ESTIMATION
.
115
4.2.4
EXPERIMENTS
ON
SYNTHETIC
DATA
.
116
CONTENTS
VII
4.2.5
A
CONFIDENCE
MEASURE
.
122
4.2.6
EXPERIMENTS
ON
REAL
DATA
.
125
4.2.7
DIAGONAL
DISPARITY
INFORMATION
.
125
4.2.8
COMPARISON
TO
OTHER
APPROACHES
AND
DISCUSSION
.
129
4.3
TEXTURE
SEGMENTATION
.
131
4.3.1
BOVIK'S
APPROACH
.
132
4.3.2
QUATEMIONIC
EXTENSION
OF
BOVIK'S
APPROACH
.
136
4.3.3
EXPERIMENTAL
RESULTS
.
139
4.3.4
COMPARISON
TO
OTHER
APPROACHES
AND
DISCUSSION
.
144
4.4
SUMMARY
.
146
5
CONCLUSION
147 |
| any_adam_object | 1 |
| author | Bülow, Thomas |
| author_facet | Bülow, Thomas |
| author_role | aut |
| author_sort | Bülow, Thomas |
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| classification_tum | MAT 424d DAT 760d |
| ctrlnum | (OCoLC)614395975 (DE-599)BVBBV012789256 |
| discipline | Informatik Mathematik |
| format | Thesis Book |
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| genre_facet | Hochschulschrift |
| id | DE-604.BV012789256 |
| illustrated | Illustrated |
| indexdate | 2024-07-20T03:48:28Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008698641 |
| oclc_num | 614395975 |
| open_access_boolean | |
| owner | DE-91 DE-BY-TUM DE-12 DE-355 DE-BY-UBR DE-706 DE-634 |
| owner_facet | DE-91 DE-BY-TUM DE-12 DE-355 DE-BY-UBR DE-706 DE-634 |
| physical | VIII, 161 S. Ill., graph. Darst. |
| publishDate | 1999 |
| publishDateSearch | 1999 |
| publishDateSort | 1999 |
| publisher | Univ. |
| record_format | marc |
| series | Institut für Informatik und Praktische Mathematik <Kiel>: Bericht |
| series2 | Institut für Informatik und Praktische Mathematik <Kiel>: Bericht |
| spelling | Bülow, Thomas Verfasser aut Hypercomplex spectral signal representations for the processing and analysis of images Thomas Bülow Kiel Univ. 1999 VIII, 161 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Institut für Informatik und Praktische Mathematik <Kiel>: Bericht 9903 Zsfassung in dt. Sprache Zugl.: Kiel, Univ., Diss., 1999 Quaternion (DE-588)4176653-2 gnd rswk-swf Bildverarbeitung (DE-588)4006684-8 gnd rswk-swf Fourier-Transformation (DE-588)4018014-1 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Fourier-Transformation (DE-588)4018014-1 s Quaternion (DE-588)4176653-2 s Bildverarbeitung (DE-588)4006684-8 s DE-604 Institut für Informatik und Praktische Mathematik <Kiel>: Bericht 9903 (DE-604)BV000011623 9903 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008698641&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bülow, Thomas Hypercomplex spectral signal representations for the processing and analysis of images Institut für Informatik und Praktische Mathematik <Kiel>: Bericht Quaternion (DE-588)4176653-2 gnd Bildverarbeitung (DE-588)4006684-8 gnd Fourier-Transformation (DE-588)4018014-1 gnd |
| subject_GND | (DE-588)4176653-2 (DE-588)4006684-8 (DE-588)4018014-1 (DE-588)4113937-9 |
| title | Hypercomplex spectral signal representations for the processing and analysis of images |
| title_auth | Hypercomplex spectral signal representations for the processing and analysis of images |
| title_exact_search | Hypercomplex spectral signal representations for the processing and analysis of images |
| title_full | Hypercomplex spectral signal representations for the processing and analysis of images Thomas Bülow |
| title_fullStr | Hypercomplex spectral signal representations for the processing and analysis of images Thomas Bülow |
| title_full_unstemmed | Hypercomplex spectral signal representations for the processing and analysis of images Thomas Bülow |
| title_short | Hypercomplex spectral signal representations for the processing and analysis of images |
| title_sort | hypercomplex spectral signal representations for the processing and analysis of images |
| topic | Quaternion (DE-588)4176653-2 gnd Bildverarbeitung (DE-588)4006684-8 gnd Fourier-Transformation (DE-588)4018014-1 gnd |
| topic_facet | Quaternion Bildverarbeitung Fourier-Transformation Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008698641&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000011623 |
| work_keys_str_mv | AT bulowthomas hypercomplexspectralsignalrepresentationsfortheprocessingandanalysisofimages |