Anisotropic diffusion in image processing:
Saved in:
| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | English |
| Published: |
1996
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 140 S. Ill., graph. Darst. |
Staff View
MARC
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| 100 | 1 | |a Weickert, Joachim |d 1965- |e Verfasser |0 (DE-588)118052411 |4 aut | |
| 245 | 1 | 0 | |a Anisotropic diffusion in image processing |c Joachim Weickert |
| 264 | 1 | |c 1996 | |
| 300 | |a X, 140 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 502 | |a Kaiserslautern, Univ., Diss., 1996 | ||
| 650 | 4 | |a Bildverarbeitung - Partielle Differentialgleichung | |
| 650 | 4 | |a Bildverbesserung - Nichtlineare Diffusion - Adaptives Filter - Skalenraum - Mehrskalenanalyse | |
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| 650 | 0 | 7 | |a Skalenraum |0 (DE-588)4510670-8 |2 gnd |9 rswk-swf |
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Record in the Search Index
| _version_ | 1807320585583198208 |
|---|---|
| adam_text |
CONTENTS
PREFACE
V
CONTENTS
IX
1
IMAGE
SMOOTHING
AND
RESTORATION
BY
PDES
1
1.1
LINEAR
DIFFUSION
FILTERING
.
2
1.1.1
PHYSICAL
BACKGROUND
OF
DIFFUSION
PROCESSES
.
2
1.1.2
FOUNDATIONS
OF
LINEAR
DIFFUSION
FILTERING
.
3
1.1.3
SCALE-SPACE
PROPERTIES
.
6
1.1.4
NUMERICAL
ASPECTS
.
8
1.1.5
SHORTCOMINGS
.
8
1.1.6
DIRECTED
DIFFUSION
.
9
1.2
NONLINEAR
DIFFUSION
FILTERING
.
10
1.2.1
THE
PERONA-MALIK
MODEL
.
10
1.2.2
REGULARIZED
NONLINEAR
MODELS
.
15
1.2.3
ANISOTROPIC
NONLINEAR
MODELS
.
16
1.2.4
GENERALIZATIONS
.
18
1.2.5
NUMERICAL
ASPECTS
.
19
1.2.6
APPLICATIONS
.
20
1.3
METHODS
OF
DIFFUSION-REACTION
TYPE
.
20
1.3.1
SINGLE
DIFFUSION-REACTION
EQUATIONS
.
20
1.3.2
COUPLED
SYTEMS
OF
DIFFUSION-REACTION
EQUATIONS
.
22
1.4
CLASSIC
MORPHOLOGICAL
PROCESSES
.
24
1.4.1
BINARY
AND
GREY-SCALE
MORPHOLOGY
.
24
1.4.2
BASIC
OPERATIONS
.
25
1.4.3
CONTINUOUS-SCALE
MORPHOLOGY
.
25
1.4.4
THEORETICAL
RESULTS
.
27
1.4.5
SCALE-SPACE
PROPERTIES
.
27
1.4.6
NUMERICAL
ASPECTS
.
28
1.5
CURVATURE-BASED
MORPHOLOGICAL
PROCESSES
.
29
1.5.1
MEAN-CURVATURE
FILTERING
.
29
X
CONTENTS
1.5.2
AFFINE
INVARIANT
FILTERING
.
31
1.5.3
GENERALIZATIONS
.
33
1.5.4
NUMERICAL
ASPECTS
.
34
1.5.5
APPLICATIONS
.
35
1.6
TOTAL
VARIATION
METHODS
.
36
1.6.1
TV-PRESERVING
METHODS
.
36
1.6.2
TV-MINIMIZING
METHODS
.
37
1.7
CONCLUSIONS
AND
SCOPE
OF
THE
THESIS
.
38
2
CONTINUOUS
DIFFUSION
FILTERING
41
2.1
BASIC
FILTER
STRUCTURE
.
41
2.2
THE
STRUCTURE
TENSOR
.
'
.
42
2.3
THEORETICAL
RESULTS
.
43
2.4
SCALE-SPACE
PROPERTIES
.
48
2.4.1
INVARIANCES
.
48
2.4.2
INFORMATION-REDUCING
PROPERTIES
.
51
3
SEMIDISCRETE
DIFFUSION
FILTERING
61
3.1
THE
GENERAL
MODEL
.
61
3.2
THEORETICAL
RESULTS
.
62
3.3
SCALE-SPACE
PROPERTIES
.
67
3.4
RELATION
TO
CONTINUOUS
MODELS
.
72
3.4.1
ISOTROPIC
CASE
.
72
3.4.2
ANISOTROPIC
CASE
.
74
4
DISCRETE
DIFFUSION
FILTERING
83
4.1
THE
GENERAL
MODEL
.
83
4.2
THEORETICAL
RESULTS
.
84
4.3
SCALE-SPACE
PROPERTIES
.
85
4.4
RELATION
TO
SEMIDISCRETE
MODELS
.
89
5
EXAMPLES
AND
APPLICATIONS
95
5.1
EDGE-ENHANCING
DIFFUSION
.
95
5.1.1
FILTER
DESIGN
.
95
5.1.2
APPLICATIONS
.
96
5.2
COHERENCE-ENHANCING
DIFFUSION
.
107
5.2.1
FILTER
DESIGN
.
107
5.2.2
APPLICATIONS
.
107
6
CONCLUSIONS
115
BIBLIOGRAPHY
117 |
| 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 | BV010714923 |
| classification_rvk | SK 920 SK 950 ST 330 |
| classification_tum | MAT 356d DAT 760d MAT 671d |
| ctrlnum | (OCoLC)257936600 (DE-599)BVBBV010714923 |
| discipline | Informatik Mathematik |
| format | Thesis Book |
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| genre | (DE-588)4113937-9 Hochschulschrift gnd-content |
| genre_facet | Hochschulschrift |
| id | DE-604.BV010714923 |
| illustrated | Illustrated |
| indexdate | 2024-08-14T00:27:03Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007154685 |
| oclc_num | 257936600 |
| open_access_boolean | |
| owner | DE-91 DE-BY-TUM DE-355 DE-BY-UBR DE-739 DE-29T DE-703 DE-706 DE-634 DE-11 DE-188 |
| owner_facet | DE-91 DE-BY-TUM DE-355 DE-BY-UBR DE-739 DE-29T DE-703 DE-706 DE-634 DE-11 DE-188 |
| physical | X, 140 S. Ill., graph. Darst. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| record_format | marc |
| spelling | Weickert, Joachim 1965- Verfasser (DE-588)118052411 aut Anisotropic diffusion in image processing Joachim Weickert 1996 X, 140 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Kaiserslautern, Univ., Diss., 1996 Bildverarbeitung - Partielle Differentialgleichung Bildverbesserung - Nichtlineare Diffusion - Adaptives Filter - Skalenraum - Mehrskalenanalyse 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 Anisotroper Stoff (DE-588)4280461-9 s Streuung (DE-588)4058056-8 s DE-604 Partielle Differentialgleichung (DE-588)4044779-0 s 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 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007154685&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Weickert, Joachim 1965- Anisotropic diffusion in image processing Bildverarbeitung - Partielle Differentialgleichung Bildverbesserung - Nichtlineare Diffusion - Adaptives Filter - Skalenraum - Mehrskalenanalyse 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 | Bildverarbeitung - Partielle Differentialgleichung Bildverbesserung - Nichtlineare Diffusion - Adaptives Filter - Skalenraum - Mehrskalenanalyse 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 | Bildverarbeitung - Partielle Differentialgleichung Bildverbesserung - Nichtlineare Diffusion - Adaptives Filter - Skalenraum - Mehrskalenanalyse 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=007154685&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT weickertjoachim anisotropicdiffusioninimageprocessing |