Anisotropic diffusion in Riemannian colour space:
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
2003
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Heidelberg, Univ., Diss., 2003. - Enth. Zusammenfassg. in engl. und dt. Sprache |
| Beschreibung: | 89 Bl. Ill., graph. Darst. |
Internformat
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Datensatz im Suchindex
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CONTENTS
1 INTRODUCTION 9
2 FORMER METHODS 13
2.1 JOZEF KACUR AND KAROL MIKULA MODEL.13
2.2 ZUZANA KRIVA AND KAROL MIKULA MODEL.15
2.3 JOACHIM WEICKERT MODEL.17
2.4 RACHID DERICHE AND DAVID TSCHUMPERLE MODE!.18
2.5 NIR SOCHEN, RON KIMMEL AND RAVI MALLADI MODEL.20
2.6 NIR SOCHEN AND YEHOSHUA Y. ZEEVI MODEL .23
3 COLOUR SPACES 27
3.1 RGB-SPACE .28
3.2 CMY-SPACE.30
3.3 HSV-SPACE . . '.31
3.4 CIE
L*A*B*-SPACE.33
3.5 CIE
L*U*V*-SPACE.36
4 METRICS OF THE COLOUR SPACE 39
4.1 INTRODUCTION TO DIFFERENTIAL RIEMANNIAN
GEOMETRY.39
4.1.1 DIFFERENTIABLE MANIFOLDS.39
7
BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/968909345
8
CONTENTS
4.1.2 TANGENT SPACES.40
4.1.3 RIEMANNIAN METRICS .40
4.1.4 THE LEVI-CIVITA CONNECTION.42
4.2 BASIC CONCEPTS OF LINE ELEMENTS APPLIED INTO COLOUR VISION . . 43
4.3 EXAMPLES OF LINE ELEMENTS.46
4.3.1 HELMHOLTZ'S LINE ELEMENT.46
4.3.2 SCHRODINGER'S LINE ELEMENT .48
4.3.3 STILES' LINE ELEMENT .49
4.3.4 VOS AND WALRAVEN'S LINE ELEMENT.50
4.4 SECTIONAL CURVATURE OF THE COLOUR SPACE.54
4.4.1 SECTIONAL CURVATURE OF THE RGB COLOUR SPACE
EQUIPPED WITH THE HELMHOLTZ METRIC.55
4.4.2 SECTIONAL CURVATURE OF THE RGB COLOUR SPACE
EQUIPPED WITH THE SCHRODINGER METRIC.56
4.4.3 SECTIONAL CURVATURE OF THE RGB COLOUR SPACE
EQUIPPED WITH THE STILES METRIC.58
4.4.4 SECTIONAL CURVATURE OF THE RGB COLOUR SPACE
EQUIPPED WITH THE VOS-WALRAVEN METRIC.59
5 MATHEMATICAL MODEL 63
5.1 APPROXIMATION SCHEME.66
5.1.1 SEMIDISCRETISATION IN SCALE.66
5.1.2 DISCRETISATION IN SPACE.67
\
6 RESULTS 69
7 CONCLUDING REMARKS 83
BIBLIOGRAPHY
88 |
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| indexdate | 2024-11-05T13:07:59Z |
| institution | BVB |
| language | English |
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| physical | 89 Bl. Ill., graph. Darst. |
| publishDate | 2003 |
| publishDateSearch | 2003 |
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| spelling | Renner, Alice Iosefina Verfasser aut Anisotropic diffusion in Riemannian colour space vorgelegt von Alice Iosefina Renner 2003 89 Bl. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Heidelberg, Univ., Diss., 2003. - Enth. Zusammenfassg. in engl. und dt. Sprache Bildrekonstruktion Schnittkrümmung (DE-588)4613673-3 gnd rswk-swf Farbbild (DE-588)4153689-7 gnd rswk-swf Riemannsches Monochromieproblem (DE-588)4332614-6 gnd rswk-swf Anisotrope Diffusion (DE-588)4770547-4 gnd rswk-swf Linienelement (DE-588)4770544-9 gnd rswk-swf Metrik Mathematik (DE-588)4193458-1 gnd rswk-swf Farbenraum (DE-588)4499687-1 gnd rswk-swf Bildverbesserung (DE-588)4378156-1 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Riemannsches Monochromieproblem (DE-588)4332614-6 s DE-604 Farbbild (DE-588)4153689-7 s Bildverbesserung (DE-588)4378156-1 s Anisotrope Diffusion (DE-588)4770547-4 s Farbenraum (DE-588)4499687-1 s Metrik Mathematik (DE-588)4193458-1 s Schnittkrümmung (DE-588)4613673-3 s Linienelement (DE-588)4770544-9 s DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010569698&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Renner, Alice Iosefina Anisotropic diffusion in Riemannian colour space Bildrekonstruktion Schnittkrümmung (DE-588)4613673-3 gnd Farbbild (DE-588)4153689-7 gnd Riemannsches Monochromieproblem (DE-588)4332614-6 gnd Anisotrope Diffusion (DE-588)4770547-4 gnd Linienelement (DE-588)4770544-9 gnd Metrik Mathematik (DE-588)4193458-1 gnd Farbenraum (DE-588)4499687-1 gnd Bildverbesserung (DE-588)4378156-1 gnd |
| subject_GND | (DE-588)4613673-3 (DE-588)4153689-7 (DE-588)4332614-6 (DE-588)4770547-4 (DE-588)4770544-9 (DE-588)4193458-1 (DE-588)4499687-1 (DE-588)4378156-1 (DE-588)4113937-9 |
| title | Anisotropic diffusion in Riemannian colour space |
| title_auth | Anisotropic diffusion in Riemannian colour space |
| title_exact_search | Anisotropic diffusion in Riemannian colour space |
| title_full | Anisotropic diffusion in Riemannian colour space vorgelegt von Alice Iosefina Renner |
| title_fullStr | Anisotropic diffusion in Riemannian colour space vorgelegt von Alice Iosefina Renner |
| title_full_unstemmed | Anisotropic diffusion in Riemannian colour space vorgelegt von Alice Iosefina Renner |
| title_short | Anisotropic diffusion in Riemannian colour space |
| title_sort | anisotropic diffusion in riemannian colour space |
| topic | Bildrekonstruktion Schnittkrümmung (DE-588)4613673-3 gnd Farbbild (DE-588)4153689-7 gnd Riemannsches Monochromieproblem (DE-588)4332614-6 gnd Anisotrope Diffusion (DE-588)4770547-4 gnd Linienelement (DE-588)4770544-9 gnd Metrik Mathematik (DE-588)4193458-1 gnd Farbenraum (DE-588)4499687-1 gnd Bildverbesserung (DE-588)4378156-1 gnd |
| topic_facet | Bildrekonstruktion Schnittkrümmung Farbbild Riemannsches Monochromieproblem Anisotrope Diffusion Linienelement Metrik Mathematik Farbenraum Bildverbesserung Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010569698&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT renneraliceiosefina anisotropicdiffusioninriemanniancolourspace |