Anisotropic diffusion in Riemannian colour space:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
2003
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Heidelberg, Univ., Diss., 2003. - Enth. Zusammenfassg. in engl. und dt. Sprache |
| Physical Description: | 89 Bl. Ill., graph. Darst. |
Staff View
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV017561023 | ||
| 003 | DE-604 | ||
| 005 | 20040722 | ||
| 007 | t| | ||
| 008 | 031008s2003 xx ad|| m||| 00||| eng d | ||
| 016 | 7 | |a 968909345 |2 DE-101 | |
| 035 | |a (OCoLC)249091986 | ||
| 035 | |a (DE-599)BVBBV017561023 | ||
| 040 | |a DE-604 |b ger |e rakwb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-824 |a DE-355 |a DE-739 |a DE-29T |a DE-703 |a DE-83 | ||
| 100 | 1 | |a Renner, Alice Iosefina |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Anisotropic diffusion in Riemannian colour space |c vorgelegt von Alice Iosefina Renner |
| 264 | 1 | |c 2003 | |
| 300 | |a 89 Bl. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Heidelberg, Univ., Diss., 2003. - Enth. Zusammenfassg. in engl. und dt. Sprache | ||
| 650 | 4 | |a Bildrekonstruktion | |
| 650 | 0 | 7 | |a Schnittkrümmung |0 (DE-588)4613673-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Farbbild |0 (DE-588)4153689-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Riemannsches Monochromieproblem |0 (DE-588)4332614-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Anisotrope Diffusion |0 (DE-588)4770547-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Linienelement |0 (DE-588)4770544-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Metrik |g Mathematik |0 (DE-588)4193458-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Farbenraum |0 (DE-588)4499687-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Bildverbesserung |0 (DE-588)4378156-1 |2 gnd |9 rswk-swf |
| 655 | 7 | |0 (DE-588)4113937-9 |a Hochschulschrift |2 gnd-content | |
| 689 | 0 | 0 | |a Riemannsches Monochromieproblem |0 (DE-588)4332614-6 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Farbbild |0 (DE-588)4153689-7 |D s |
| 689 | 1 | 1 | |a Bildverbesserung |0 (DE-588)4378156-1 |D s |
| 689 | 1 | 2 | |a Anisotrope Diffusion |0 (DE-588)4770547-4 |D s |
| 689 | 1 | |5 DE-604 | |
| 689 | 2 | 0 | |a Farbenraum |0 (DE-588)4499687-1 |D s |
| 689 | 2 | 1 | |a Metrik |g Mathematik |0 (DE-588)4193458-1 |D s |
| 689 | 2 | 2 | |a Schnittkrümmung |0 (DE-588)4613673-3 |D s |
| 689 | 2 | 3 | |a Linienelement |0 (DE-588)4770544-9 |D s |
| 689 | 2 | |5 DE-604 | |
| 856 | 4 | 2 | |m DNB Datenaustausch |q application/pdf |u 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 |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-010569698 | |
Record in the Search Index
| _version_ | 1816445169951571968 |
|---|---|
| adam_text |
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 |
| any_adam_object | 1 |
| author | Renner, Alice Iosefina |
| author_facet | Renner, Alice Iosefina |
| author_role | aut |
| author_sort | Renner, Alice Iosefina |
| author_variant | a i r ai air |
| building | Verbundindex |
| bvnumber | BV017561023 |
| ctrlnum | (OCoLC)249091986 (DE-599)BVBBV017561023 |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>00000nam a2200000 c 4500</leader><controlfield tag="001">BV017561023</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20040722</controlfield><controlfield tag="007">t|</controlfield><controlfield tag="008">031008s2003 xx ad|| m||| 00||| eng d</controlfield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">968909345</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)249091986</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV017561023</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-824</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-83</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Renner, Alice Iosefina</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Anisotropic diffusion in Riemannian colour space</subfield><subfield code="c">vorgelegt von Alice Iosefina Renner</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2003</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">89 Bl.</subfield><subfield code="b">Ill., graph. Darst.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Heidelberg, Univ., Diss., 2003. - Enth. Zusammenfassg. in engl. und dt. Sprache</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Bildrekonstruktion</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Schnittkrümmung</subfield><subfield code="0">(DE-588)4613673-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Farbbild</subfield><subfield code="0">(DE-588)4153689-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Riemannsches Monochromieproblem</subfield><subfield code="0">(DE-588)4332614-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Anisotrope Diffusion</subfield><subfield code="0">(DE-588)4770547-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Linienelement</subfield><subfield code="0">(DE-588)4770544-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Metrik</subfield><subfield code="g">Mathematik</subfield><subfield code="0">(DE-588)4193458-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Farbenraum</subfield><subfield code="0">(DE-588)4499687-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Bildverbesserung</subfield><subfield code="0">(DE-588)4378156-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="0">(DE-588)4113937-9</subfield><subfield code="a">Hochschulschrift</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Riemannsches Monochromieproblem</subfield><subfield code="0">(DE-588)4332614-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Farbbild</subfield><subfield code="0">(DE-588)4153689-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Bildverbesserung</subfield><subfield code="0">(DE-588)4378156-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="2"><subfield code="a">Anisotrope Diffusion</subfield><subfield code="0">(DE-588)4770547-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="2" ind2="0"><subfield code="a">Farbenraum</subfield><subfield code="0">(DE-588)4499687-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2="1"><subfield code="a">Metrik</subfield><subfield code="g">Mathematik</subfield><subfield code="0">(DE-588)4193458-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2="2"><subfield code="a">Schnittkrümmung</subfield><subfield code="0">(DE-588)4613673-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2="3"><subfield code="a">Linienelement</subfield><subfield code="0">(DE-588)4770544-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">DNB Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">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</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-010569698</subfield></datafield></record></collection> |
| genre | (DE-588)4113937-9 Hochschulschrift gnd-content |
| genre_facet | Hochschulschrift |
| id | DE-604.BV017561023 |
| illustrated | Illustrated |
| indexdate | 2024-11-22T17:38:22Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010569698 |
| oclc_num | 249091986 |
| open_access_boolean | |
| owner | DE-824 DE-355 DE-BY-UBR DE-739 DE-29T DE-703 DE-83 |
| owner_facet | DE-824 DE-355 DE-BY-UBR DE-739 DE-29T DE-703 DE-83 |
| physical | 89 Bl. Ill., graph. Darst. |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| record_format | marc |
| 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 |