Low level image processing using steerable filters:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | German |
| Published: |
Neuherberg
GSF-Forschungszentrum für Umwelt und Gesundheit
1995
|
| Series: | GSF-Forschungszentrum für Umwelt und Gesundheit <Neuherberg, Oberschleissheim>: GSF-Bericht
1995,30 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Zugl.: Kiel, Univ., Diss. |
| Physical Description: | 158 S. Ill., graph. Darst. |
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MARC
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| 100 | 1 | |a Michaelis, Markus |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Low level image processing using steerable filters |c Markus Michaelis. [Hrsg.: GSF - Forschungszentrum für Umwelt und Gesundheit] |
| 264 | 1 | |a Neuherberg |b GSF-Forschungszentrum für Umwelt und Gesundheit |c 1995 | |
| 300 | |a 158 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a GSF-Forschungszentrum für Umwelt und Gesundheit <Neuherberg, Oberschleissheim>: GSF-Bericht |v 1995,30 | |
| 500 | |a Zugl.: Kiel, Univ., Diss. | ||
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Record in the Search Index
| _version_ | 1807773848501747712 |
|---|---|
| adam_text |
CONTENTS
1
INTRODUCTION
1
1.1
ORGANIZATION
OF
THE
THESIS
.
5
2
BASIC
FILTERS
FOR
EARLY
VISION
7
2.1
INTRODUCTION
.
7
2.2
BASIC
PRINCIPLES
IN
EARLY
VISION
.
8
2.2.1
UNCERTAINTY
PRINCIPLE
.
8
2.2.2
HILBERT
TRANSFORM
.
15
2.2.3
SCALE-SPACE
.
18
2.2.4
REGULARIZATION
AND
NOISE
.
19
2.2.5
DISCRETE
CASE
.
19
2.2.6
WAVELETS
.
19
2.2.7
BIOLOGICAL
VISION
SYSTEMS
.
20
2.2.8
APPLICATIONS
.
20
2.3
BASIC
FILTERS
.
21
2.3.1
GABOR
FUNCTIONS
.
22
2.3.2
DERIVATIVES
OF
GAUSSIANS
.
22
2.3.3
HERMITE
FUNCTIONS
.
22
2.3.4
OTHER
FUNCTIONS
.
23
2.4
DERIVATIVES
OF
GAUSSIANS
.
24
2.4.1
DEFINITION
.
24
2.4.2
FOURIER
TRANSFORM
.
25
2.4.3
NORMALIZATION
.
26
2.5
OPTIMAL
ODD/EVEN
PAIRS
WITH
GAUSSIAN
DERIVATIVES
.
28
2.5.1
SAME
L
2
OR
L
1
NORM
.
29
2.5.2
MINIMAL
FOURIER
ENERGY
AT
NEGATIVE
FREQUENCIES
.
30
2.5.3
MONOMODAL
ENERGY
.
31
2.5.4
FIT
OF
THE
ENERGY
TO
A
GAUSSIAN
.
34
2.5.5
LINEAR
PHASE
.
35
2.5.6
CONCLUSION
.
38
2.6
RELATIONSHIP
BETWEEN
DERIVATIVES
OF
GAUSSIANS
AND
GABOR
FUNCTIONS
.
39
2.6.1
DEFINITION
AND
NORMALIZATION
OF
GABOR
FUNCTIONS
.
39
2.6.2
ASYMPTOTIC
BEHAVIOR
OF
THE
DERIVATIVES
OF
GAUSSIANS
.
40
2.6.3
FIT
OF
GABOR
FUNCTIONS
TO
DERIVATIVES
OF
GAUSSIANS
.
41
2.6.4
HILBERT
TRANSFORM
AND
DC-CORRECTED
GABOR
FUNCTIONS
.
44
2.6.5
CONCLUSION
.
46
2.7
SUMMARY
.
47
APPENDIX
2A:
SCALE-SPACE
AND
THE
DIFFUSION
EQUATION
.
48
APPENDIX
2B:
HERMITE
TRANSFORM
.
49
APPENDIX
2C:
INTEGRALS
OF
THE
GAUSSIAN
.
50
APPENDIX
2D:
HERMITE
POLYNOMIALS
.
51
3
STEERABLE
FILTERS
52
3.1
INTRODUCTION
.
52
3.2
PREVIOUS
WORK
.
54
3.2.1
FREEMAN
AND
ADELSON
.
54
3.2.2
SIMONCELLI,
FYEEMAN,
ADELSON,
AND
HEEGER
.
56
3.2.3
PERONA
.
57
3.2.4
SHY
AND
PERONA
.
58
3.2.5
ANDERSSON
.
59
3.2.6
BEIL
.
59
3.3
STEERABILITY
BY
LEAST
SQUARE
APPROXIMATION
.
60
3.3.1
A
SIMPLE
EXAMPLE
.
61
3.3.2
COMPLETENESS
OF
THE
BASIS
FUNCTIONS
.
62
3.4
EXACT
STEERABILITY
BY
LIE
GROUP
THEORY
.
62
3.4.1
THE
TRANSLATIONAL
LIE
GROUP
.
63
3.4.2
STEERING
BY
FOURIER
DECOMPOSITION
.
64
3.4.3
OPTIMALITY
OF
THE
BASIS
FUNCTIONS
.
64
3.4.4
APPROXIMATE
STEERABILITY
.
65
3.4.5
CANONICAL
PARAMETRIZATION
AND
COORDINATES
.
66
3.4.6
STEERING
GENERAL
ONE-PARAMETER
DEFORMATIONS
.
67
3.4.7
EXAMPLE:
STEERING
SCALE
.
68
3.4.8
DEFORMATIONS
IN
TWO
DIMENSIONS
.
72
3.4.9
STEERING
MULTIPLE-PARAMETER
DEFORMATIONS
.
73
3.5
OPTIMAL
STEERABILITY
BY
SVD
.
74
3.5.1
DEFINITION
OF
OPTIMAL
STEERABILITY
.
75
3.5.2
MATRIX
REPRESENTATIONS
OF
PERONA
'
S
OPERATOR
.
76
3.5.3
OPTIMAL
STEERABILITY
BY
SVD
.
77
3.5.4
STEERING
ND
FUNCTIONS
AND
SEVERAL
PARAMETERS
.
81
3.6
COMPARING
THE
SVD
AND
THE
LIE
GROUP
APPROACH
.
85
3.6.1
DEFORMED
FILTERS
VERSUS
ORTHOGONAL
BASIS
FUNCTIONS
.
90
3.7
STEERING
RECIPES
.
92
3.8
STEERABILITY
BY
AUXILIARY
BASIS
FUNCTIONS
.
93
3.9
RELATIONSHIP
OF
STEERABILITY
TO
OTHER
METHODS
.
94
3.9.1
STEERABILITY
AND
WAVELETS
.
95
3.9.2
STEERABILITY
AND
INVARIANCE
.
97
3.9.3
PRINCIPAL
COMPONENT
ANALYSIS
.
99
3.10
SUMMARY
.
100
APPENDIX
3A:
THE
LEAST
SQUARE
APPROXIMATION
.
102
APPENDIX
3B:
THE
SINGULAR
VALUE
DECOMPOSITION
(SVD)
.
103
APPENDIX
3C:
DEFINITIONS
AND
LEMMATA
.
104
4
ANALYSIS
OF
LOCAL
IMAGE
STRUCTURE
112
4.1
CHARACTERIZATION
OF
JUNCTIONS
BY
MULTIPLE
ORIENTATION
DETECTION
.
.
.
.112
4.1.1
INTRODUCTION
.
112
4.1.2
PREVIOUS
WORK
.
113
4.1.3
THE
DOUBLE
LOBED
FILTER
.
115
4.1.4
CHARACTERIZATION
OF
JUNCTIONS
BY
STEERING
ORIENTATION
.
117
4.1.5
CHARACTERIZATION
OF
JUNCTIONS
BY
STEERING
SCALE
AND
ORIENTATION
122
4.1.6
ORIENTATION
ESTIMATION
WITH
INCORRECT
KEYPOINT
DETECTION
.
.
.
126
4.1.7
STEERABLE
FILTERS
FOR
MULTIPLE
ORIENTATION
DETECTION
.
127
4.1.8
CONCLUSIONS
.
128
APPENDIX
4
A:
STEERING
FORMULAS
.
130
4.2
IMAGE
ANALYSIS
BY
TWO
LAYER
FILTERS
.
132
4.2.1
INTRODUCTION
.
132
4.2.2
DESIGN
OF
THE
FIRST
LAYER
.
133
4.2.3
ADAPTIVE
APPROXIMATION
QUALITY
OF
STEERABLE
FILTERS
.
138
4.2.4
SYNTHESIS
OF
SECOND
LAYER
FILTERS
.
139
4.2.5
APPLICATION
TO
IMAGE
ANALYSIS
.
141
4.2.6
DISCUSSION
.
145
APPENDIX:
NOTATION
.
149
REFERENCES
.
150 |
| any_adam_object | 1 |
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| author_facet | Michaelis, Markus |
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| genre | (DE-588)4113937-9 Hochschulschrift gnd-content |
| genre_facet | Hochschulschrift |
| id | DE-604.BV010666802 |
| illustrated | Illustrated |
| indexdate | 2024-08-19T00:31:26Z |
| institution | BVB |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007120065 |
| oclc_num | 60273453 |
| open_access_boolean | |
| owner | DE-12 |
| owner_facet | DE-12 |
| physical | 158 S. Ill., graph. Darst. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | GSF-Forschungszentrum für Umwelt und Gesundheit |
| record_format | marc |
| series | GSF-Forschungszentrum für Umwelt und Gesundheit <Neuherberg, Oberschleissheim>: GSF-Bericht |
| series2 | GSF-Forschungszentrum für Umwelt und Gesundheit <Neuherberg, Oberschleissheim>: GSF-Bericht |
| spelling | Michaelis, Markus Verfasser aut Low level image processing using steerable filters Markus Michaelis. [Hrsg.: GSF - Forschungszentrum für Umwelt und Gesundheit] Neuherberg GSF-Forschungszentrum für Umwelt und Gesundheit 1995 158 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier GSF-Forschungszentrum für Umwelt und Gesundheit <Neuherberg, Oberschleissheim>: GSF-Bericht 1995,30 Zugl.: Kiel, Univ., Diss. Bildanalyse (DE-588)4145391-8 gnd rswk-swf Filterschaltung (DE-588)4113559-3 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Bildanalyse (DE-588)4145391-8 s Filterschaltung (DE-588)4113559-3 s DE-604 GSF-Forschungszentrum für Umwelt und Gesundheit <Neuherberg, Oberschleissheim>: GSF-Bericht 1995,30 (DE-604)BV004733948 1995,30 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007120065&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Michaelis, Markus Low level image processing using steerable filters GSF-Forschungszentrum für Umwelt und Gesundheit <Neuherberg, Oberschleissheim>: GSF-Bericht Bildanalyse (DE-588)4145391-8 gnd Filterschaltung (DE-588)4113559-3 gnd |
| subject_GND | (DE-588)4145391-8 (DE-588)4113559-3 (DE-588)4113937-9 |
| title | Low level image processing using steerable filters |
| title_auth | Low level image processing using steerable filters |
| title_exact_search | Low level image processing using steerable filters |
| title_full | Low level image processing using steerable filters Markus Michaelis. [Hrsg.: GSF - Forschungszentrum für Umwelt und Gesundheit] |
| title_fullStr | Low level image processing using steerable filters Markus Michaelis. [Hrsg.: GSF - Forschungszentrum für Umwelt und Gesundheit] |
| title_full_unstemmed | Low level image processing using steerable filters Markus Michaelis. [Hrsg.: GSF - Forschungszentrum für Umwelt und Gesundheit] |
| title_short | Low level image processing using steerable filters |
| title_sort | low level image processing using steerable filters |
| topic | Bildanalyse (DE-588)4145391-8 gnd Filterschaltung (DE-588)4113559-3 gnd |
| topic_facet | Bildanalyse Filterschaltung Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007120065&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV004733948 |
| work_keys_str_mv | AT michaelismarkus lowlevelimageprocessingusingsteerablefilters |