Ridges in image and data analysis:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Boston
Kluwer
1996
|
| Schriftenreihe: | Computational imaging and vision
7 |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007944057&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | XI, 213 S. Ill. |
| ISBN: | 0792342682 |
Internformat
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| 100 | 1 | |a Eberly, David |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Ridges in image and data analysis |c by David Eberly |
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| 490 | 1 | |a Computational imaging and vision |v 7 | |
| 650 | 4 | |a Mathematik | |
| 650 | 4 | |a Image processing |x Mathematics | |
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Datensatz im Suchindex
| DE-BY-TUM_call_number | 0102 DAT 760f 2011 A 1666 |
|---|---|
| DE-BY-TUM_katkey | 1757330 |
| DE-BY-TUM_location | 01 |
| DE-BY-TUM_media_number | 040010204981 |
| _version_ | 1821933337998000128 |
| adam_text | RIDGES IN IMAGE AND DATA ANALYSIS BY DAVID EBERLY SAS INSTITUTE, INC.,
CARY, NORTH CAROLINA, U.SA. KLUWER ACADEMIC PUBLISHERS DORDRECHT /
BOSTON / LONDON CONTENTS PREFACE IX 1 INTRODUCTION 1 1.1 A HISTORY OF
RIDGES 1 1.2 READING STRATEGIES 6 2 MATHEMATICAL PRELIMINARIES 9 2.1
LINEAR ALGEBRA 9 2.1.1 EIGENVALUES AND EIGENVECTORS 10 2.1.2
GRAM-SCHMIDT ORTHONORMALIZATION 13 2.1.3 SYMMETRIC, UNITARY, AND
DEFINITE MATRICES 14 2.1.4 MAXIMA OF QUADRATIC FORMS 16 2.2 DIFFERENTIAL
CALCULUS 17 2.2.1 DERIVATIVE AND INDEX NOTATION 17 2.2.2 SUMMATION
CONVENTION 18 2.2.3 DIRECTIONAL DERIVATIVES 19 2.2.4 LOCAL EXTREMA OF
FUNCTIONS 20 2.3 TENSORS 22 2.3.1 CARTESIAN COORDINATES 22 2.3.2 GENERAL
COORDINATES 23 2.3.3 TENSOR CALCULUS 25 2.3.4 CURVES 29 2.3.5 SURFACES
30 2.3.6 MANIFOLDS 35 V VI 3 RIDGES IN EUCLIDEAN GEOMETRY 39 3.1
GENERALIZED LOCAL EXTREMA 39 3.2 HEIGHT RIDGE DEFINITION 42 3.3
1-DIMENSIONAL RIDGES IN K 2 45 3.3.1 CONTINUOUS FORMULATIONS 45 3.3.2
DIFFERENTIAL GEOMETRIC RELATIONSHIPS 46 3.3.3 RIDGE TANGENTS 47 3.4
1-DIMENSIONAL RIDGES IN IR 3 48 3.4.1 CONTINUOUS FORMULATIONS 48 3.4.2
DIFFERENTIAL GEOMETRIC RELATIONSHIPS 49 3.4.3 RIDGE TANGENTS 49 3.5
1-DIMENSIONAL RIDGES IN H N 52 3.5.1 CONTINUOUS FORMULATIONS 52 3.5.2
DIFFERENTIAL GEOMETRIC RELATIONSHIPS 52 3.5.3 RIDGE TANGENTS 53 3.6
2-DIMENSIONAL RIDGES IN IR 3 56 3.6.1 CONTINUOUS FORMULATIONS 56 3.6.2
RIDGE TANGENTS 57 3.7 2-DIMENSIONAL RIDGES IN IR 4 57 3.7.1 CONTINUOUS
FORMULATIONS 57 3.7.2 RIDGE TANGENTS 58 3.8 D-DIMENSIONAL RIDGES IN HT
60 3.8.1 CONTINUOUS FORMULATIONS 60 3.8.2 RIDGE TANGENTS 61 4 RIDGES IN
RIEMANNIAN GEOMETRY 65 4.1 GENERALIZED LOCAL EXTREMA 65 4.2 HEIGHT RIDGE
DEFINITION 66 4.3 1-DIMENSIONAL RIDGES IN B 2 66 4.4 1-DIMENSIONAL
RIDGES IN IR 3 68 4.5 1-DIMENSIONAL RIDGES IN FFT N 69 VLL 4.6
2-DIMENSIONAL RIDGES IN IR 3 70 4.7 2-DIMENSIONAL RIDGES IN IR 4 71 4.8
IR 72 5 RIDGES OF FUNCTIONS DEFINED ON MANIFOLDS 75 5.1 HEIGHT RIDGE
DEFINITION 75 5.1.1 1-DIMENSIONAL RIDGES IN M 2 C IR. 3 75 5.1.2
D-DIMENSIONAL RIDGES IN M C E 82 5.2 MAXIMAL CURVATURE RIDGE
DEFINITIONS 86 5.2.1 CURVATURE EXTREMA OF PLANAR CURVES 86 5.2.2
CURVATURE EXTREMA OF SURFACES 91 5.2.3 EXTENSIONS AND GENERALIZATIONS 94
6 APPLICATIONS TO IMAGE AND DATA ANALYSIS 97 6.1 MEDICAL IMAGE ANALYSIS
97 6.1.1 LINEAR SCALE SPACE 97 6.1.2 BOUNDARY MEASUREMENTS 99 6.1.3
MEDIAL MEASUREMENTS 102 6.1.4 CORES ILL 6.1.5 NONLINEAR SCALE SPACE . .
.- 128 6.2 MOLECULAR MODELING 131 6.2.1. DNA STRUCTURE 131 6.2.2 PROTEIN
STRUCTURE 133 6.2.3 X-RAY CRYSTALLOGRAPHY 136 6.2.4 ELECTRON DENSITY
MAPS 138 6.2.5 RIDGES OF ELECTRON DENSITY 141 6.3 FLUID FLOW 144 6.3.1
VECTOR FIELD ANALYSIS 144 6.3.2 NEWTONIAN VISCOUS FLUIDS 148 6.3.3
PRESSURE RIDGES 150 VM 7 IMPLEMENTATION ISSUES 155 7.1 BRIDGING THE GAP
BETWEEN THEORY AND PRACTICE 155 7.2 B-SPLINE INTERPOLATION 156 7.2.1
DEFINITIONS 156 7.2.2 BASIS MATRICES 158 7.2.3 DIRECT IMPLEMENTATION 159
7.2.4 GENERALIZED AND OPTIMIZED SPLINE CALCULATION 162 7.2.5 POLYNOMIAL
CONSTRUCTION 176 7.2.6 AVOIDING INTERMEDIATE CALCULATIONS 177 7.2.7
COMPUTING DATA ON-DEMAND 178 7.2.8 PUTTING IT ALL TOGETHER 181 7.3
EIGENSYSTEM SOLVERS 182 7.3.1 SYMBOLIC TRIDIAGONALIZATION 183 7.3.2 QR
ITERATION WITH EXPLICIT SHIFTING 185 7.3.3 GENERALIZED EIGENSYSTEMS 185
7.4 RIDGE CONSTRUCTION 186 7.4.1 MULTIDIMENSIONAL BISECTION 187 7.4.2
MINIMIZATION WITHOUT DERIVATIVES 190 7.4.3 MANIFOLD EXTRACTION 194 7.4.4
ARBITRARILY SPACED DATA 200 BIBLIOGRAPHY 203 INDEX 211
|
| any_adam_object | 1 |
| author | Eberly, David |
| author_facet | Eberly, David |
| author_role | aut |
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| ctrlnum | (OCoLC)35317882 (DE-599)BVBBV011771869 |
| dewey-full | 621.36/7/01516 |
| dewey-hundreds | 600 - Technology (Applied sciences) |
| dewey-ones | 621 - Applied physics |
| dewey-raw | 621.36/7/01516 |
| dewey-search | 621.36/7/01516 |
| dewey-sort | 3621.36 17 41516 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Informatik Mathematik Elektrotechnik / Elektronik / Nachrichtentechnik |
| format | Book |
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| id | DE-604.BV011771869 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T10:18:21Z |
| institution | BVB |
| isbn | 0792342682 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007944057 |
| oclc_num | 35317882 |
| open_access_boolean | |
| owner | DE-29T DE-91G DE-BY-TUM |
| owner_facet | DE-29T DE-91G DE-BY-TUM |
| physical | XI, 213 S. Ill. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Kluwer |
| record_format | marc |
| series | Computational imaging and vision |
| series2 | Computational imaging and vision |
| spellingShingle | Eberly, David Ridges in image and data analysis Computational imaging and vision Mathematik Image processing Mathematics Manifolds (Mathematics) Bildanalyse (DE-588)4145391-8 gnd Datenanalyse (DE-588)4123037-1 gnd Bildverarbeitung (DE-588)4006684-8 gnd Topologische Mannigfaltigkeit (DE-588)4185712-4 gnd Kante (DE-588)4220665-0 gnd |
| subject_GND | (DE-588)4145391-8 (DE-588)4123037-1 (DE-588)4006684-8 (DE-588)4185712-4 (DE-588)4220665-0 |
| title | Ridges in image and data analysis |
| title_auth | Ridges in image and data analysis |
| title_exact_search | Ridges in image and data analysis |
| title_full | Ridges in image and data analysis by David Eberly |
| title_fullStr | Ridges in image and data analysis by David Eberly |
| title_full_unstemmed | Ridges in image and data analysis by David Eberly |
| title_short | Ridges in image and data analysis |
| title_sort | ridges in image and data analysis |
| topic | Mathematik Image processing Mathematics Manifolds (Mathematics) Bildanalyse (DE-588)4145391-8 gnd Datenanalyse (DE-588)4123037-1 gnd Bildverarbeitung (DE-588)4006684-8 gnd Topologische Mannigfaltigkeit (DE-588)4185712-4 gnd Kante (DE-588)4220665-0 gnd |
| topic_facet | Mathematik Image processing Mathematics Manifolds (Mathematics) Bildanalyse Datenanalyse Bildverarbeitung Topologische Mannigfaltigkeit Kante |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007944057&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV010119097 |
| work_keys_str_mv | AT eberlydavid ridgesinimageanddataanalysis |
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Teilbibliothek Mathematik & Informatik
| Signatur: |
0102 DAT 760f 2011 A 1666 Lageplan |
|---|---|
| Exemplar 1 | Ausleihbar Am Standort |