Fourier domain measurement of scaling and rotation factors for fractal and natural image analysis:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Düsseldorf
VDI-Verl.
2000
|
| Ausgabe: | Als Ms. gedr. |
| Schriftenreihe: | Verein Deutscher Ingenieure: [Fortschritt-Berichte VDI / 10]
635 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Zugl.: Hamburg-Harburg, Techn. Univ., Diss., 2000 |
| Beschreibung: | XII, 146 S. Ill., graph. Darst. : 21 cm |
| ISBN: | 3183635100 |
Internformat
MARC
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| 100 | 1 | |a Ibenthal, Achim |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Fourier domain measurement of scaling and rotation factors for fractal and natural image analysis |c Achim Ibenthal |
| 250 | |a Als Ms. gedr. | ||
| 264 | 1 | |a Düsseldorf |b VDI-Verl. |c 2000 | |
| 300 | |a XII, 146 S. |b Ill., graph. Darst. : 21 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Verein Deutscher Ingenieure: [Fortschritt-Berichte VDI / 10] |v 635 | |
| 500 | |a Zugl.: Hamburg-Harburg, Techn. Univ., Diss., 2000 | ||
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Datensatz im Suchindex
| _version_ | 1805068485008556032 |
|---|---|
| adam_text |
V
CONTENTS
ACKNOWLEDGEMENTS
III
SYMBOLS
VIII
SUMMARY
XIII
1
INTRODUCTION
1
1.1
SCOPE
.
2
1.2
SURVEY
.
3
2
THE
FRACTAL
IMAGE
MODEL
AND
ITS
LIMITS
4
2.1
IMAGE
SYNTHESIS
BY
ITERATED
FUNCTION
SYSTEMS
.
5
2.2
THEORETICAL
FOUNDATIONS
.
7
2.3
PARTITIONED
ITERATED
FUNCTION
SYSTEMS
.
10
2.3.1
RANGE
BLOCK
TILING
.
10
2.3.2
DOMAIN
POOL
AND
GEOMETRICAL
TRANSFORM
.
12
2.3.3
LUMINANCE
TRANSFORM
.
13
2.3.4
ENCODING
AND
DECODING
.
15
2.4
VIDEO
SEQUENCE
CODING
.
17
2.5
INFLUENCE
OF
LOCAL
IMAGE
STATISTICS
ON
THE
CODER
PERFORMANCE
.
19
2.6
DISCUSSION
OF
THE
SELF-SIMILARITY
SOURCE
MODEL
.
23
2.7
SEARCH
STRATEGIES
.
27
2.8
SUMMARY
AND
OPEN
QUESTIONS
.
32
3
INVARIANT
FOURIER
FEATURES
34
3.1
AFFINE
FOURIER
THEOREM
.
35
VI
CONTENTS
3.2
SCALE
AND
ROTATION
PARAMETER
ESTIMATION
.
38
3.2.1
TYPE
1
AFFINE
TRANSFORM
PARAMETER
ESTIMATION
.
41
3.2.2
TYPE
2
AFFINE
TRANSFORM
PARAMETER
ESTIMATION
.
43
3.2.3
EXAMPLE
.
44
3.3
SUMMARY
.
46
4
INTERPOLATION
48
4.1
STATE
OF
THE
ART
INTERPOLATION
METHODS
.
48
4.1.1
BILINEAR
AND
BICUBIC
INTERPOLATION
.
49
4.1.2
POLYPHASE
FILTERS
.
50
4.2
GENERALIZED
2D
POLYNOMIAL
FIT
.
52
4.3
IMPLEMENTATION
.
54
4.4
INTERPOLATOR
DESIGN
EXAMPLES
.
55
4.4.1
4TH
ORDER
POLYNOMIAL
INTERPOLATOR
.
56
4.4.2
2ND
ORDER
POLYNOMIAL
INTERPOLATOR
.
57
4.5
ANALYSIS
OF
THE
POLYNOMIAL
FILTERS
.
58
4.6
COMPARISON
.
62
4.7
OTHER
APPLICATIONS
.
65
4.7.1
SIMPLE
DISPLAY
SCALER
FOR
TV,
DVB
AND
DVD
APPLICATIONS
.
65
4.7.2
SUBPIXEL
ACCURATE
PHASE
CORRELATION
.
68
4.7.3
VIDEO
FRAME
PREDICTION
USING
SUBPIXEL
INTERPOLATION
.
69
4.8
SUMMARY
.
69
5
DISCRETE
IMPLEMENTATION
OF
SCALE
AND
ROTATION
PARAMETER
ESTIMATION
71
5.1
CORRELATION
SOURCES
(PROCI)
.
72
5.1.1
CHOICE
OF ANALYSIS
WINDOW
.
73
5.1.2
EXPERIMENTAL
RESULTS
.
76
5.2
INVARIANT
FEATURE
PROCESSING
(PROC2)
.
77
5.3
ALIASING-FREE
RESAMPLING
.
80
5.3.1
EXPONENTIAL-EXPONENTIAL
RESAMPLING
.
81
5.3.2
EXPONENTIAL-POLAR
RESAMPLING
.
85
5.3.3
FREQUENCY
DOMAIN
EXPONENTIAL
SAMPLING
.
89
VII
5.4
PHASE
CORRELATION
PROCESSING
(PROC3/PROC4)
.
94
5.5
GLOBAL
PARAMETER
OPTIMIZATION
.
96
5.6
SCALE
FACTOR
LIMITATION
.
98
5.7
NOISE
ROBUSTNESS
.
100
5.8
APPLICATION
EXAMPLE:
VIDEO
FRAME
PREDICTION
.
101
5.9
SUMMARY
.
102
6
MELLIN
TRANSFORM
OF
PIECEWISE
POLYNOMIALS
105
6.1
GENERAL
MTPP
TRANSFORM
EQUATION
.
105
6.2
SPECIAL
IMPLEMENTATIONS
OF
THE
MTPP
.
110
6.2.1
POLYNOMIAL
ORDER
4
.
110
6.2.2
POLYNOMIAL
ORDER
0
.
110
6.3
GLOBAL
PARAMETER
OPTIMIZATION
.
ILL
6.4
INFLUENCE
OF
THE
MTPP
FREE
VARIABLE
RANGE
.
114
6.5
MTPP
NOISE
ROBUSTNESS
.
115
6.6
SUMMARY
.
116
7
CONCLUSIONS
118
A
NOTATIONS
AND
DEFINITIONS
122
A.L
LEBESGUE
INTEGRAL
.
122
A.2
FOURIER
TRANSFORM
.
122
A.3
FOURIER
TRANSFORM
FOR
DISCRETE
ORIGINAL
DOMAIN
.
124
A.4
DISCRETE
FOURIER
TRANSFORM
.
124
A.5
CONTINUOUS
AND
DISCRETE
IMAGE
REPRESENTATION
.
125
A.6
MATRIX/VECTOR
IMAGE
REPRESENTATIONS
.
125
B
TEST
IMAGES
FOR
SCALE
AND
ROTATION
PARAMETER
ESTIMATION
127
B.L
TEST
IMAGES
FOR
TYPE
1
PARAMETER
ESTIMATION
.
129
B.2
TEST
IMAGES
FOR
TYPE
2
PARAMETER
ESTIMATION
.
132
C
DISTORTION
MEASURES
BASED
ON
THE
T
2
NORM
135 |
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| author | Ibenthal, Achim |
| author_facet | Ibenthal, Achim |
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| classification_tum | ELT 530d |
| ctrlnum | (OCoLC)76155755 (DE-599)BVBBV013248682 |
| discipline | Informatik Elektrotechnik |
| edition | Als Ms. gedr. |
| format | Book |
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| genre_facet | Hochschulschrift |
| id | DE-604.BV013248682 |
| illustrated | Illustrated |
| indexdate | 2024-07-20T03:50:53Z |
| institution | BVB |
| isbn | 3183635100 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009029747 |
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| owner_facet | DE-91 DE-BY-TUM DE-210 DE-83 |
| physical | XII, 146 S. Ill., graph. Darst. : 21 cm |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | VDI-Verl. |
| record_format | marc |
| series2 | Verein Deutscher Ingenieure: [Fortschritt-Berichte VDI / 10] |
| spelling | Ibenthal, Achim Verfasser aut Fourier domain measurement of scaling and rotation factors for fractal and natural image analysis Achim Ibenthal Als Ms. gedr. Düsseldorf VDI-Verl. 2000 XII, 146 S. Ill., graph. Darst. : 21 cm txt rdacontent n rdamedia nc rdacarrier Verein Deutscher Ingenieure: [Fortschritt-Berichte VDI / 10] 635 Zugl.: Hamburg-Harburg, Techn. Univ., Diss., 2000 Codierung (DE-588)4070059-8 gnd rswk-swf Fraktal (DE-588)4123220-3 gnd rswk-swf Bildanalyse (DE-588)4145391-8 gnd rswk-swf Datenkompression (DE-588)4121121-2 gnd rswk-swf Fourier-Transformation (DE-588)4018014-1 gnd rswk-swf Parameterschätzung (DE-588)4044614-1 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Bildanalyse (DE-588)4145391-8 s Datenkompression (DE-588)4121121-2 s Codierung (DE-588)4070059-8 s Fraktal (DE-588)4123220-3 s Fourier-Transformation (DE-588)4018014-1 s Parameterschätzung (DE-588)4044614-1 s DE-604 10] Verein Deutscher Ingenieure: [Fortschritt-Berichte VDI 635 (DE-604)BV000897204 635 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009029747&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ibenthal, Achim Fourier domain measurement of scaling and rotation factors for fractal and natural image analysis Codierung (DE-588)4070059-8 gnd Fraktal (DE-588)4123220-3 gnd Bildanalyse (DE-588)4145391-8 gnd Datenkompression (DE-588)4121121-2 gnd Fourier-Transformation (DE-588)4018014-1 gnd Parameterschätzung (DE-588)4044614-1 gnd |
| subject_GND | (DE-588)4070059-8 (DE-588)4123220-3 (DE-588)4145391-8 (DE-588)4121121-2 (DE-588)4018014-1 (DE-588)4044614-1 (DE-588)4113937-9 |
| title | Fourier domain measurement of scaling and rotation factors for fractal and natural image analysis |
| title_auth | Fourier domain measurement of scaling and rotation factors for fractal and natural image analysis |
| title_exact_search | Fourier domain measurement of scaling and rotation factors for fractal and natural image analysis |
| title_full | Fourier domain measurement of scaling and rotation factors for fractal and natural image analysis Achim Ibenthal |
| title_fullStr | Fourier domain measurement of scaling and rotation factors for fractal and natural image analysis Achim Ibenthal |
| title_full_unstemmed | Fourier domain measurement of scaling and rotation factors for fractal and natural image analysis Achim Ibenthal |
| title_short | Fourier domain measurement of scaling and rotation factors for fractal and natural image analysis |
| title_sort | fourier domain measurement of scaling and rotation factors for fractal and natural image analysis |
| topic | Codierung (DE-588)4070059-8 gnd Fraktal (DE-588)4123220-3 gnd Bildanalyse (DE-588)4145391-8 gnd Datenkompression (DE-588)4121121-2 gnd Fourier-Transformation (DE-588)4018014-1 gnd Parameterschätzung (DE-588)4044614-1 gnd |
| topic_facet | Codierung Fraktal Bildanalyse Datenkompression Fourier-Transformation Parameterschätzung Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009029747&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000897204 |
| work_keys_str_mv | AT ibenthalachim fourierdomainmeasurementofscalingandrotationfactorsforfractalandnaturalimageanalysis |