Anisotropic diffusion in image processing:
Gespeichert in:
1. Verfasser: | |
---|---|
Format: | Abschlussarbeit Buch |
Sprache: | German |
Veröffentlicht: |
Stuttgart
Teubner
1998
|
Schriftenreihe: | European Consortium for Mathematics in Industry
|
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | XII, 170 S. Ill. |
ISBN: | 3519026066 |
Internformat
MARC
LEADER | 00000nam a2200000 c 4500 | ||
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245 | 1 | 0 | |a Anisotropic diffusion in image processing |c Joachim Weickert |
264 | 1 | |a Stuttgart |b Teubner |c 1998 | |
300 | |a XII, 170 S. |b Ill. | ||
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337 | |b n |2 rdamedia | ||
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490 | 0 | |a European Consortium for Mathematics in Industry | |
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Datensatz im Suchindex
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---|---|
adam_text |
CONTENTS
1
IMAGE
SMOOTHING
AND
RESTORATION
BY
PDES
1
1.1
PHYSICAL
BACKGROUND
OF
DIFFUSION
PROCESSES
.
2
1.2
LINEAR
DIFFUSION
FILTERING
.
3
1.2.1
RELATIONS
TO
GAUSSIAN
SMOOTHING
.
3
1.2.2
SCALE-SPACE
PROPERTIES
.
6
1.2.3
NUMERICAL
ASPECTS
.
10
1.2.4
APPLICATIONS
.
11
1.2.5
LIMITATIONS
.
12
1.2.6
GENERALIZATIONS
.
13
1.3
NONLINEAR
DIFFUSION
FILTERING
.
14
1.3.1
THE
PERONA-MALIK
MODEL
.
15
1.3.2
REGULARIZED
NONLINEAR
MODELS
.
20
1.3.3
ANISOTROPIC
NONLINEAR
MODELS
.
22
1.3.4
GENERALIZATIONS
.
24
1.3.5
NUMERICAL
ASPECTS
.
25
1.3.6
APPLICATIONS
.
26
1.4
METHODS
OF
DIFFUSION-REACTION
TYPE
.
27
1.4.1
SINGLE
DIFLFUSION-REACTION
EQUATIONS
.
27
1.4.2
COUPLED
SYSTEMS
OF
DIFFUSION-REACTION
EQUATIONS
.
29
1.5
CLASSIC
MORPHOLOGICAL
PROCESSES
.
31
1.5.1
BINARY
AND
GREY-SCALE
MORPHOLOGY
.
31
1.5.2
BASIC
OPERATIONS
.
32
1.5.3
CONTINUOUS-SCALE
MORPHOLOGY
.
32
1.5.4
THEORETICAL
RESULTS
.
34
1.5.5
SCALE-SPACE
PROPERTIES
.
34
1.5.6
GENERALIZATIONS
.
35
1.5.7
NUMERICAL
ASPECTS
.
36
1.5.8
APPLICATIONS
.
37
1.6
CURVATURE-BASED
MORPHOLOGICAL
PROCESSES
.
37
1.6.1
MEAN-CURVATURE
FILTERING
.
37
1.6.2
AFFINE
INVARIANT
FILTERING
.
40
1.6.3
GENERALIZATIONS
.
42
1.6.4
NUMERICAL
ASPECTS
.
43
XII
CONTENTS
1.6.5
APPLICATIONS
.
45
1.6.6
ACTIVE
CONTOUR
MODELS
.
46
1.7
TOTAL
VARIATION
METHODS
.
49
1.7.1
TV-PRESERVING
METHODS
.
50
1.7.2
TV-MINIMIZING
METHODS
.
50
1.8
CONCLUSIONS
AND
FURTHER
SCOPE
OF
THE
BOOK
.
53
2
CONTINUOUS
DIFFUSION
FILTERING
55
2.1
BASIC
FILTER
STRUCTURE
.
55
2.2
THE
STRUCTURE
TENSOR
.
56
2.3
THEORETICAL
RESULTS
.
57
2.4
SCALE-SPACE
PROPERTIES
.
62
2.4.1
INVARIANCES
.
62
2.4.2
INFORMATION-REDUCING
PROPERTIES
.
65
3
SEMIDISCRETE
DIFFUSION
FILTERING
75
3.1
THE
GENERAL
MODEL
.
75
3.2
THEORETICAL
RESULTS
.
76
3.3
SCALE-SPACE
PROPERTIES
.
81
3.4
RELATION
TO
CONTINUOUS
MODELS
.
86
3.4.1
ISOTROPIC
CASE
.
86
3.4.2
ANISOTROPIC
CASE
.
88
4
DISCRETE
DIFFUSION
FILTERING
97
4.1
THE
GENERAL
MODEL
.
97
4.2
THEORETICAL
RESULTS
.
98
4.3
SCALE-SPACE
PROPERTIES
.
99
4.4
RELATION
TO
SEMIDISCRETE
MODELS
.
102
4.4.1
SEMI-IMPLICIT
SCHEMES
.
102
4.4.2
AOS
SCHEMES
.
107
5
EXAMPLES
AND
APPLICATIONS
113
5.1
EDGE-ENHANCING
DIFFUSION
.
114
5.1.1
FILTER
DESIGN
.
114
5.1.2
APPLICATIONS
.
114
5.2
COHERENCE-ENHANCING
DIFFUSION
.
127
5.2.1
FILTER
DESIGN
.
127
5.2.2
APPLICATIONS
.
129
6
CONCLUSIONS
AND
PERSPECTIVES
135
BIBLIOGRAPHY
139
INDEX
165 |
any_adam_object | 1 |
author | Weickert, Joachim 1965- |
author_GND | (DE-588)118052411 |
author_facet | Weickert, Joachim 1965- |
author_role | aut |
author_sort | Weickert, Joachim 1965- |
author_variant | j w jw |
building | Verbundindex |
bvnumber | BV011715401 |
callnumber-first | T - Technology |
callnumber-label | TA1637 |
callnumber-raw | TA1637 |
callnumber-search | TA1637 |
callnumber-sort | TA 41637 |
callnumber-subject | TA - General and Civil Engineering |
classification_rvk | SK 920 SK 950 ST 330 |
classification_tum | MAT 356f DAT 760f MAT 671f |
ctrlnum | (OCoLC)39706048 (DE-599)BVBBV011715401 |
discipline | Informatik Mathematik |
format | Thesis Book |
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genre_facet | Hochschulschrift |
id | DE-604.BV011715401 |
illustrated | Illustrated |
indexdate | 2024-08-16T01:20:38Z |
institution | BVB |
isbn | 3519026066 |
language | German |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007900536 |
oclc_num | 39706048 |
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owner_facet | DE-20 DE-91G DE-BY-TUM DE-29T DE-92 DE-739 DE-19 DE-BY-UBM DE-188 DE-83 |
physical | XII, 170 S. Ill. |
publishDate | 1998 |
publishDateSearch | 1998 |
publishDateSort | 1998 |
publisher | Teubner |
record_format | marc |
series2 | European Consortium for Mathematics in Industry |
spelling | Weickert, Joachim 1965- Verfasser (DE-588)118052411 aut Anisotropic diffusion in image processing Joachim Weickert Stuttgart Teubner 1998 XII, 170 S. Ill. txt rdacontent n rdamedia nc rdacarrier European Consortium for Mathematics in Industry Zugl.: Kaiserslautern, Univ., Diss., 1996 Differential equations, Partial Numerical solutions Digital filters (Mathematics) Filters (Mathematics) Image processing Digital techniques Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Mehrskalenanalyse (DE-588)4416235-2 gnd rswk-swf Streuung (DE-588)4058056-8 gnd rswk-swf Bildverarbeitung (DE-588)4006684-8 gnd rswk-swf Skalenraum (DE-588)4510670-8 gnd rswk-swf Anisotroper Stoff (DE-588)4280461-9 gnd rswk-swf Nichtlineare Diffusion (DE-588)4510673-3 gnd rswk-swf Bildverbesserung (DE-588)4378156-1 gnd rswk-swf Adaptives Filter (DE-588)4141377-5 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Bildverarbeitung (DE-588)4006684-8 s Partielle Differentialgleichung (DE-588)4044779-0 s DE-604 Bildverbesserung (DE-588)4378156-1 s Nichtlineare Diffusion (DE-588)4510673-3 s Adaptives Filter (DE-588)4141377-5 s Skalenraum (DE-588)4510670-8 s Mehrskalenanalyse (DE-588)4416235-2 s Anisotroper Stoff (DE-588)4280461-9 s Streuung (DE-588)4058056-8 s 1\p DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007900536&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Weickert, Joachim 1965- Anisotropic diffusion in image processing Differential equations, Partial Numerical solutions Digital filters (Mathematics) Filters (Mathematics) Image processing Digital techniques Partielle Differentialgleichung (DE-588)4044779-0 gnd Mehrskalenanalyse (DE-588)4416235-2 gnd Streuung (DE-588)4058056-8 gnd Bildverarbeitung (DE-588)4006684-8 gnd Skalenraum (DE-588)4510670-8 gnd Anisotroper Stoff (DE-588)4280461-9 gnd Nichtlineare Diffusion (DE-588)4510673-3 gnd Bildverbesserung (DE-588)4378156-1 gnd Adaptives Filter (DE-588)4141377-5 gnd |
subject_GND | (DE-588)4044779-0 (DE-588)4416235-2 (DE-588)4058056-8 (DE-588)4006684-8 (DE-588)4510670-8 (DE-588)4280461-9 (DE-588)4510673-3 (DE-588)4378156-1 (DE-588)4141377-5 (DE-588)4113937-9 |
title | Anisotropic diffusion in image processing |
title_auth | Anisotropic diffusion in image processing |
title_exact_search | Anisotropic diffusion in image processing |
title_full | Anisotropic diffusion in image processing Joachim Weickert |
title_fullStr | Anisotropic diffusion in image processing Joachim Weickert |
title_full_unstemmed | Anisotropic diffusion in image processing Joachim Weickert |
title_short | Anisotropic diffusion in image processing |
title_sort | anisotropic diffusion in image processing |
topic | Differential equations, Partial Numerical solutions Digital filters (Mathematics) Filters (Mathematics) Image processing Digital techniques Partielle Differentialgleichung (DE-588)4044779-0 gnd Mehrskalenanalyse (DE-588)4416235-2 gnd Streuung (DE-588)4058056-8 gnd Bildverarbeitung (DE-588)4006684-8 gnd Skalenraum (DE-588)4510670-8 gnd Anisotroper Stoff (DE-588)4280461-9 gnd Nichtlineare Diffusion (DE-588)4510673-3 gnd Bildverbesserung (DE-588)4378156-1 gnd Adaptives Filter (DE-588)4141377-5 gnd |
topic_facet | Differential equations, Partial Numerical solutions Digital filters (Mathematics) Filters (Mathematics) Image processing Digital techniques Partielle Differentialgleichung Mehrskalenanalyse Streuung Bildverarbeitung Skalenraum Anisotroper Stoff Nichtlineare Diffusion Bildverbesserung Adaptives Filter Hochschulschrift |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007900536&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
work_keys_str_mv | AT weickertjoachim anisotropicdiffusioninimageprocessing |