Geometric description of images as topographic maps:
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2010
|
| Series: | Lecture notes in mathematics
1984 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 179 - 184 |
| Physical Description: | XVII, 186 S. Ill., graph. Darst. |
| ISBN: | 9783642046100 |
Staff View
MARC
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| 245 | 1 | 0 | |a Geometric description of images as topographic maps |c Vicent Caselles ; Pascal Monasse |
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Record in the Search Index
| _version_ | 1804140867886252032 |
|---|---|
| adam_text | CONTENTS 1 INTRODUCTION 1 1.1 MORSE THEORY AND TOPOGRAPHY 1 1.2
MATHEMATICAL MORPHOLOGY 3 1.3 INCLUSION TREE OF LEVEL SETS 4 1.4
TOPOLOGICAL DESCRIPTION AND COMPUTATION OF TOPOGRAPHIC MAPS 5 1.5
ORGANIZATION OF THESE NOTES 6 2 THE TREE OF SHAPES OF AN IMAGE 9 2.1
INTRODUCTION AND MOTIVATION 9 2.2 SOME TOPOLOGICAL PRELIMINARIES 11 2.3
THE TREE OF SHAPES 18 2.3.1 TREE STRUCTURE OF THE SET OF SHAPES 19 2.3.2
BRANCHES, MONOTONE SECTIONS AND LEAVES 20 2.4 RECONSTRUCTION OF THE
IMAGE PROM ITS TREE 24 2.4.1 DIRECT RECONSTRUCTION 25 2.4.2 INDIRECT
RECONSTRUCTION 27 2.5 FINITENESS OF THE TREE FOR IMAGES WITH GRAINS OF
MINIMAL POSITIVE SIZE 28 2.6 APPLICATIONS 30 2.6.1 A SIMPLE APPLICATION:
ADAPTIVE QUANTIZATION 30 2.6.2 OTHER APPLICATIONS 31 2.7 COMPARISON WITH
COMPONENT TREE 33 3 GRAIN FILTERS 35 3.1 INTRODUCTION 35 3.2 GENERAL
RESULTS FROM MATHEMATICAL MORPHOLOGY 36 3.2.1 LEVEL SETS AND CONTRAST
INVARIANCE 37 3.2.2 LINK BETWEEN SET OPERATOR AND CONTRAST INVARIANT
OPERATORS ON IMAGES 38 3.3 EXTREMA FILTERS 39 3.3.1 DEFINITION 39 3.3.2
PRELIMINARY RESULTS 40 3.3.3 PROPERTIES 43 BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/998861766 DIGITALISIERT DURCH CONTENTS 3.3.4
INTERPRETATION 46 3.3.5 COMPOSITION 46 3.3.6 THE EFFECT OF EXTREMA
FILTERS ON THE TREE OF SHAPES.... 48 3.4 GRAIN FILTER 52 3.4.1
INTRODUCTION AND DEFINITIONS 52 3.4.2 PRELIMINARY RESULTS 54 3.4.3
PROPERTIES 58 3.4.4 THE EFFECT OF GRAIN FILTER ON THE TREE OF SHAPES 64
3.5 RELATIONS WITH OTHER OPERATORS OF MATHEMATICAL MORPHOLOGY . 65 3.5.1
RELATIONS WITH GRAIN OPERATORS 65 3.5.2 RELATIONS WITH CONNECTED
OPERATORS 66 3.5.3 INTERPRETATION 70 3.6 EXPERIMENTS 70 3.6.1 ALGORITHM
70 3.6.2 EXPERIMENTAL RESULTS 70 3.6.3 COMPLEXITY 73 A TOPOLOGICAL
DESCRIPTION OF THE TOPOGRAPHIC MAP 75 4.1 MONOTONE SECTIONS AND SINGULAR
VALUES 75 4.2 WEAKLY OSCILLATING FUNCTIONS, THEIR INTERVALS AND THE
STRUCTURE OF THEIR TOPOGRAPHIC MAP 81 4.3 SIGNATURE AND CRITICAL VALUES
91 4.4 CRITICAL VERSUS SINGULAR VALUES 95 4.5 SINGULAR VALUES OF THE
TREE VERSUS SINGULAR VALUES 97 4.6 REVIEW ON THE TOPOGRAPHIC DESCRIPTION
OF IMAGES 100 MERGING THE COMPONENT TREES 103 5.1 THE STRUCTURE OF THE
TREES OF CONNECTED COMPONENTS OF UPPER AND LOWER LEVEL SETS 103 5.2
CONSTRUCTION OF THE TREE OF SHAPES BY FUSION OF UPPER AND LOWER TREES
106 5.3 FUSION ALGORITHM IN THE DISCRETE DIGITAL CASE 112 COMPUTATION OF
THE TREE OF SHAPES OF A DIGITAL IMAGE 11 185 CONTENTS XI 6.4 ALTERNATIVE
ALGORITHMS 137 6.4.1 CHANGING CONNECTIVITY 137 6.4.2 LEVEL LINES
EXTRACTION 139 6.4.3 HIGHER DIMENSION 140 7 COMPUTATION OF THE TREE OF
BILINEAR LEVEL LINES 141 7.1 LEVEL LINES AND BILINEAR INTERPOLATION 141
7.2 TREE OF BILINEAR LEVEL LINES 145 7.3 ALGORITHMS FOR THE EXTRACTION
OF THE TREE OF BILINEAR LEVEL LINES (TBLL) 147 7.3.1 DIRECT ALGORITHM
148 7.3.2 MORSE ALGORITHM 150 8 APPLICATIONS 155 8.1 IMAGE FILTERS 155
8.2 IMAGE REGISTRATION 156 8.2.1 SHAPES AS FEATURES AND THEIR
DESCRIPTORS 157 8.2.2 MEANINGFUL MATCHES 158 8.2.3 GROUPING MATCHES 159
8.2.4 ELIMINATING OUTLIERS BY VOTE 160 8.2.5 EXAMPLES 161 8.3 OTHER
APPLICATIONS 164 8.3.1 IMAGE INTERSECTION 164 8.3.2 MEANINGFUL EDGES 164
8.3.3 CORNER DETECTION 165 8.3.4 SCALE ADAPTIVE NEIGHBORHOODS 167 8.4
MAXIMALLY STABLE EXTREMAL REGIONS 167 CONCLUSION 173 SUMMARY 173
EXTENSIONS 173 SELF-DUAL FILTERS 174 FAST LEVEL SET TRANSFORM IN
DIMENSION 3 174 COLOR IMAGES 175 GLOSSARY 1 77 REFERENCES 179 INDEX
|
| any_adam_object | 1 |
| author | Caselles, Vicent 1960- Monasse, Pascal |
| author_GND | (DE-588)135629985 |
| author_facet | Caselles, Vicent 1960- Monasse, Pascal |
| author_role | aut aut |
| author_sort | Caselles, Vicent 1960- |
| author_variant | v c vc p m pm |
| building | Verbundindex |
| bvnumber | BV035885646 |
| classification_rvk | SI 850 |
| classification_tum | MAT 056f DAT 756f |
| ctrlnum | (OCoLC)502408773 (DE-599)DNB998861766 |
| dewey-full | 514.72 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
| dewey-raw | 514.72 |
| dewey-search | 514.72 |
| dewey-sort | 3514.72 |
| dewey-tens | 510 - Mathematics |
| discipline | Informatik Mathematik |
| format | Book |
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| id | DE-604.BV035885646 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T22:06:48Z |
| institution | BVB |
| isbn | 9783642046100 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-018743124 |
| oclc_num | 502408773 |
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| owner_facet | DE-824 DE-91G DE-BY-TUM DE-83 DE-11 DE-188 |
| physical | XVII, 186 S. Ill., graph. Darst. |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Caselles, Vicent 1960- Verfasser (DE-588)135629985 aut Geometric description of images as topographic maps Vicent Caselles ; Pascal Monasse Berlin [u.a.] Springer 2010 XVII, 186 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1984 Literaturverz. S. 179 - 184 Mathematische Morphologie (DE-588)4505783-7 gnd rswk-swf Morse-Theorie (DE-588)4197103-6 gnd rswk-swf Bildanalyse (DE-588)4145391-8 gnd rswk-swf Morse-Theorie (DE-588)4197103-6 s Mathematische Morphologie (DE-588)4505783-7 s Bildanalyse (DE-588)4145391-8 s DE-604 Monasse, Pascal Verfasser aut Lecture notes in mathematics 1984 (DE-604)BV000676446 1984 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018743124&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Caselles, Vicent 1960- Monasse, Pascal Geometric description of images as topographic maps Lecture notes in mathematics Mathematische Morphologie (DE-588)4505783-7 gnd Morse-Theorie (DE-588)4197103-6 gnd Bildanalyse (DE-588)4145391-8 gnd |
| subject_GND | (DE-588)4505783-7 (DE-588)4197103-6 (DE-588)4145391-8 |
| title | Geometric description of images as topographic maps |
| title_auth | Geometric description of images as topographic maps |
| title_exact_search | Geometric description of images as topographic maps |
| title_full | Geometric description of images as topographic maps Vicent Caselles ; Pascal Monasse |
| title_fullStr | Geometric description of images as topographic maps Vicent Caselles ; Pascal Monasse |
| title_full_unstemmed | Geometric description of images as topographic maps Vicent Caselles ; Pascal Monasse |
| title_short | Geometric description of images as topographic maps |
| title_sort | geometric description of images as topographic maps |
| topic | Mathematische Morphologie (DE-588)4505783-7 gnd Morse-Theorie (DE-588)4197103-6 gnd Bildanalyse (DE-588)4145391-8 gnd |
| topic_facet | Mathematische Morphologie Morse-Theorie Bildanalyse |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018743124&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 |
| work_keys_str_mv | AT casellesvicent geometricdescriptionofimagesastopographicmaps AT monassepascal geometricdescriptionofimagesastopographicmaps |