Curve and surface reconstruction: algorithms with mathematical analysis
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York
Cambridge Univ. Press
2007
|
| Ausgabe: | 1. publ. |
| Schriftenreihe: | Cambridge monographs on applied and computational mathematics
23 |
| Schlagworte: | |
| Online-Zugang: | Publisher description Table of contents Inhaltsverzeichnis |
| Beschreibung: | Includes bibliographical references and index |
| Beschreibung: | XIII, 214 S. Ill., graph. Darst. |
| ISBN: | 0521863708 9780521863704 |
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| adam_text | CURVE AND SURFACE RECONSTRUCTION: ALGORITHMS WITH MATHEMATICAL ANALYSIS
TAMAL K. DEY THE OHIO STATE UNIVERSITY CAMBRIDGE UNIVERSITY PRESS
CONTENTS PREFACE PAGE XI 1 2 3 6 7 10 14 16 18 19 22 23 24 26 27 30 30
32 35 35 36 38 39 1 1.1 1.1.1 1.1.2 1.1.3 1.2 1.2.1 1.2.2 1.2.3 1.3
1.3.1 1.3.2 1.4 2 2.1 2.2 2.2.1 2.2.2 2.3 2.3.1 2.3.2 2.4 BASICS SHAPES
SPACES AND MAPS MANIFOLDS COMPLEXES FEATURE SIZE AND SAMPLING MEDIAL
AXIS LOCAL FEATURE SIZE SAMPLING VORONOI DIAGRAM AND DELAUNAY
TRIANGULATION TWO DIMENSIONS THREE DIMENSIONS NOTES AND EXERCISES
EXERCISES CURVE RECONSTRUCTION CONSEQUENCES OF -SAMPLING CRUST
ALGORITHM CORRECTNESS NN-CRUST ALGORITHM CORRECTNESS NOTES AND EXERCISES
EXERCISES VLL VIII CONTENTS 3 3.1 3.1.1 3.1.2 3.1.3 3.2 3.2.1 3.2.2 3.3
4 4.1 4.1.1 4.1.2 4.1.3 4.1.4 4.2 4.2.1 4.3 4.3.1 4.3.2 4.4 5 5.1 5.1.1
5.1.2 5.2 5.3 5.3.1 5.3.2 5.4 6 6.1 6.1.1 6.1.2 SURFACE SAMPLES NORMALS
APPROXIMATION OF NORMALS NORMAL VARIATION EDGE AND TRIANGLE NORMALS
TOPOLOGY TOPOLOGICAL BALL PROPERTY VORONOI FACES NOTES AND EXERCISES
EXERCISES SURFACE RECONSTRUCTION ALGORITHM POLES AND COCONES COCONE
TRIANGLES PRUNING MANIFOLD EXTRACTION GEOMETRIC GUARANTEES ADDITIONAL
PROPERTIES TOPOLOGICAL GUARANTEE THE MAP V HOMEOMORPHISM PROOF NOTES AND
EXERCISES EXERCISES UNDERSAMPLING SAMPLES AND BOUNDARIES BOUNDARY SAMPLE
POINTS FLAT SAMPLE POINTS FLATNESS ANALYSIS BOUNDARY DETECTION
JUSTIFICATION RECONSTRUCTION NOTES AND EXERCISES EXERCISES WATERTIGHT
RECONSTRUCTIONS POWER CRUST DEFINITION PROXIMITY 41 43 43 45 47 50 50 53
57 57 59 59 59 62 64 66 70 72 73 73 75 76 78 80 80 81 82 83 87 88 89 90
91 6.1.3 6.1.4 6.2 6.2.1 6.2.2 6.3 6.4 7 7.1 7.2 7.3 7.3.1 7.3.2 7.4
7.4.1 7.4.2 7.5 8 8.1 8.2 8.3 8.4 8.4.1 8.4.2 8.5 9 9.1 9.1.1 9.1.2 9.2
9.2.1 9.3 9.3.1 9.4 CONTENTS HOMEOMORPHISM AND ISOTOPY ALGORITHM TIGHT
COCONE MARKING PEELING EXPERIMENTAL RESULTS NOTES AND EXERCISES
EXERCISES NOISY SAMPLES NOISE MODEL EMPTY BALLS NORMAL APPROXIMATION
ANALYSIS ALGORITHM FEATURE APPROXIMATION ANALYSIS ALGORITHM NOTES AND
EXERCISES EXERCISES NOISE AND RECONSTRUCTION PRELIMINARIES UNION OF
BALLS PROXIMITY TOPOLOGICAL EQUIVALENCE LABELING ALGORITHM . NOTES AND
EXERCISES EXERCISES IMPLICIT SURFACE-BASED RECONSTRUCTIONS GENERIC
APPROACH IMPLICIT FUNCTION PROPERTIES HOMEOMORPHISM PROOF MLS SURFACES
ADAPTIVE MLS SURFACES SAMPLING ASSUMPTIONS AND CONSEQUENCES INFLUENCE OF
SAMPLES SURFACE PROPERTIES IX 99 101 104 105 107 109 111 111 113 113 115
119 119 122 124 126 130 131 132 133 133 136 142 144 145 147 149 150 152
152 153 154 155 156 159 162 166 CONTENTS 9.4.1 9.4.2 9.5 9.5.1 9.5.2 9.6
9.6.1 9.6.2 9.6.3 9.7 9.8 10 10.1 10.2 10.2.1 10.2.2 10.2.3 10.3 10.3.1
10.3.2 10.3.3 10.4 10.4.1 10.4.2 10.4.3 10.4.4 10.5 HAUSDORFF PROPERTY
GRADIENT PROPERTY ALGORITHM AND IMPLEMENTATION NORMAL AND FEATURE
APPROXIMATION PROJECTION OTHER MLS SURFACES PROJECTION MLS VARIATION
COMPUTATIONAL ISSUES VORONOI-BASED IMPLICIT SURFACE NOTES AND EXERCISES
EXERCISES MORSE THEORETIC RECONSTRUCTIONS MORSE FUNCTIONS AND FLOWS
DISCRETIZATION VECTOR FIELD DISCRETE FLOW RELATIONS TO VORONOI/DELAUNAY
DIAGRAMS RECONSTRUCTION WITH FLOW COMPLEX FLOW COMPLEX CONSTRUCTION
MERGING CRITICAL POINT SEPARATION RECONSTRUCTION WITH A DELAUNAY
SUBCOMPLEX DISTANCE FROM DELAUNAY BALLS CLASSIFYING AND ORDERING
SIMPLICES RECONSTRUCTION ALGORITHM NOTES AND EXERCISES EXERCISES
BIBLIOGRAPHY INDEX 167 170 172 172 173 175 175 176 176 179 180 181 182
182 185 185 187 190 192 192 193 194 196 196 198 201 202 205 205 207 213
|
| adam_txt |
CURVE AND SURFACE RECONSTRUCTION: ALGORITHMS WITH MATHEMATICAL ANALYSIS
TAMAL K. DEY THE OHIO STATE UNIVERSITY CAMBRIDGE UNIVERSITY PRESS
CONTENTS PREFACE PAGE XI 1 2 3 6 7 10 14 16 18 19 22 23 24 26 27 30 30
32 35 35 36 38 39 1 1.1 1.1.1 1.1.2 1.1.3 1.2 1.2.1 1.2.2 1.2.3 1.3
1.3.1 1.3.2 1.4 2 2.1 2.2 2.2.1 2.2.2 2.3 2.3.1 2.3.2 2.4 BASICS SHAPES
SPACES AND MAPS MANIFOLDS COMPLEXES FEATURE SIZE AND SAMPLING MEDIAL
AXIS LOCAL FEATURE SIZE SAMPLING VORONOI DIAGRAM AND DELAUNAY
TRIANGULATION TWO DIMENSIONS THREE DIMENSIONS NOTES AND EXERCISES
EXERCISES CURVE RECONSTRUCTION CONSEQUENCES OF -SAMPLING CRUST
ALGORITHM CORRECTNESS NN-CRUST ALGORITHM CORRECTNESS NOTES AND EXERCISES
EXERCISES VLL VIII CONTENTS 3 3.1 3.1.1 3.1.2 3.1.3 3.2 3.2.1 3.2.2 3.3
4 4.1 4.1.1 4.1.2 4.1.3 4.1.4 4.2 4.2.1 4.3 4.3.1 4.3.2 4.4 5 5.1 5.1.1
5.1.2 5.2 5.3 5.3.1 5.3.2 5.4 6 6.1 6.1.1 6.1.2 SURFACE SAMPLES NORMALS
APPROXIMATION OF NORMALS NORMAL VARIATION EDGE AND TRIANGLE NORMALS
TOPOLOGY TOPOLOGICAL BALL PROPERTY VORONOI FACES NOTES AND EXERCISES
EXERCISES SURFACE RECONSTRUCTION ALGORITHM POLES AND COCONES COCONE
TRIANGLES PRUNING MANIFOLD EXTRACTION GEOMETRIC GUARANTEES ADDITIONAL
PROPERTIES TOPOLOGICAL GUARANTEE THE MAP V HOMEOMORPHISM PROOF NOTES AND
EXERCISES EXERCISES UNDERSAMPLING SAMPLES AND BOUNDARIES BOUNDARY SAMPLE
POINTS FLAT SAMPLE POINTS FLATNESS ANALYSIS BOUNDARY DETECTION
JUSTIFICATION RECONSTRUCTION NOTES AND EXERCISES EXERCISES WATERTIGHT
RECONSTRUCTIONS POWER CRUST DEFINITION PROXIMITY 41 43 43 45 47 50 50 53
57 57 59 59 59 62 64 66 "70 72 73 73 75 76 78 80 80 81 82 83 87 88 89 90
91 6.1.3 6.1.4 6.2 6.2.1 6.2.2 6.3 6.4 7 7.1 7.2 7.3 7.3.1 7.3.2 7.4
7.4.1 7.4.2 7.5 8 8.1 8.2 8.3 8.4 8.4.1 8.4.2 8.5 9 9.1 9.1.1 9.1.2 9.2
9.2.1 9.3 9.3.1 9.4 CONTENTS HOMEOMORPHISM AND ISOTOPY ALGORITHM TIGHT
COCONE MARKING PEELING EXPERIMENTAL RESULTS NOTES AND EXERCISES
EXERCISES NOISY SAMPLES NOISE MODEL EMPTY BALLS NORMAL APPROXIMATION
ANALYSIS ALGORITHM FEATURE APPROXIMATION ANALYSIS ALGORITHM NOTES AND
EXERCISES EXERCISES NOISE AND RECONSTRUCTION PRELIMINARIES UNION OF
BALLS PROXIMITY TOPOLOGICAL EQUIVALENCE LABELING ALGORITHM . NOTES AND
EXERCISES EXERCISES IMPLICIT SURFACE-BASED RECONSTRUCTIONS GENERIC
APPROACH IMPLICIT FUNCTION PROPERTIES HOMEOMORPHISM PROOF MLS SURFACES
ADAPTIVE MLS SURFACES SAMPLING ASSUMPTIONS AND CONSEQUENCES INFLUENCE OF
SAMPLES SURFACE PROPERTIES IX 99 101 104 105 107 109 111 111 113 113 115
119 119 122 124 126 130 131 132 133 133 136 142 144 145 147 149 150 152
152 153 154 155 156 159 162 166 CONTENTS 9.4.1 9.4.2 9.5 9.5.1 9.5.2 9.6
9.6.1 9.6.2 9.6.3 9.7 9.8 10 10.1 10.2 10.2.1 10.2.2 10.2.3 10.3 10.3.1
10.3.2 10.3.3 10.4 10.4.1 10.4.2 10.4.3 10.4.4 10.5 HAUSDORFF PROPERTY
GRADIENT PROPERTY ALGORITHM AND IMPLEMENTATION NORMAL AND FEATURE
APPROXIMATION PROJECTION OTHER MLS SURFACES PROJECTION MLS VARIATION
COMPUTATIONAL ISSUES VORONOI-BASED IMPLICIT SURFACE NOTES AND EXERCISES
EXERCISES MORSE THEORETIC RECONSTRUCTIONS MORSE FUNCTIONS AND FLOWS
DISCRETIZATION VECTOR FIELD DISCRETE FLOW RELATIONS TO VORONOI/DELAUNAY
DIAGRAMS RECONSTRUCTION WITH FLOW COMPLEX FLOW COMPLEX CONSTRUCTION
MERGING CRITICAL POINT SEPARATION RECONSTRUCTION WITH A DELAUNAY
SUBCOMPLEX DISTANCE FROM DELAUNAY BALLS CLASSIFYING AND ORDERING
SIMPLICES RECONSTRUCTION ALGORITHM NOTES AND EXERCISES EXERCISES
BIBLIOGRAPHY INDEX 167 170 172 172 173 175 175 176 176 179 180 181 182
182 185 185 187 190 192 192 193 194 196 196 198 201 202 205 205 207 213 |
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| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| edition | 1. publ. |
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| id | DE-604.BV022192237 |
| illustrated | Illustrated |
| index_date | 2024-07-02T16:21:41Z |
| indexdate | 2024-07-09T20:52:04Z |
| institution | BVB |
| isbn | 0521863708 9780521863704 |
| language | English |
| lccn | 2006017359 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-015403789 |
| oclc_num | 488644328 |
| open_access_boolean | |
| owner | DE-703 DE-739 DE-188 |
| owner_facet | DE-703 DE-739 DE-188 |
| physical | XIII, 214 S. Ill., graph. Darst. |
| publishDate | 2007 |
| publishDateSearch | 2007 |
| publishDateSort | 2007 |
| publisher | Cambridge Univ. Press |
| record_format | marc |
| series | Cambridge monographs on applied and computational mathematics |
| series2 | Cambridge monographs on applied and computational mathematics |
| spelling | Dey, Tamal K. Verfasser aut Curve and surface reconstruction algorithms with mathematical analysis Tamal K. Dey 1. publ. New York Cambridge Univ. Press 2007 XIII, 214 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Cambridge monographs on applied and computational mathematics 23 Includes bibliographical references and index Curves on surfaces Surfaces Surfaces, Models of Mathematisches Modell Curves on surfaces Mathematical models Surfaces Mathematical models Ebene Kurve (DE-588)4150970-5 gnd rswk-swf Fläche (DE-588)4129864-0 gnd rswk-swf Differentialgeometrie (DE-588)4012248-7 gnd rswk-swf Oberfläche (DE-588)4042907-6 gnd rswk-swf Approximationsalgorithmus (DE-588)4500954-5 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Geometrische Modellierung (DE-588)4156717-1 gnd rswk-swf Kurve (DE-588)4033824-1 gnd rswk-swf Ebene Kurve (DE-588)4150970-5 s Geometrische Modellierung (DE-588)4156717-1 s Approximationsalgorithmus (DE-588)4500954-5 s DE-604 Oberfläche (DE-588)4042907-6 s Differentialgeometrie (DE-588)4012248-7 s Kurve (DE-588)4033824-1 s Fläche (DE-588)4129864-0 s Mathematisches Modell (DE-588)4114528-8 s Cambridge monographs on applied and computational mathematics 23 (DE-604)BV011073737 23 http://www.loc.gov/catdir/enhancements/fy0659/2006017359-d.html Publisher description http://www.loc.gov/catdir/enhancements/fy0659/2006017359-t.html Table of contents GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015403789&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Dey, Tamal K. Curve and surface reconstruction algorithms with mathematical analysis Cambridge monographs on applied and computational mathematics Curves on surfaces Surfaces Surfaces, Models of Mathematisches Modell Curves on surfaces Mathematical models Surfaces Mathematical models Ebene Kurve (DE-588)4150970-5 gnd Fläche (DE-588)4129864-0 gnd Differentialgeometrie (DE-588)4012248-7 gnd Oberfläche (DE-588)4042907-6 gnd Approximationsalgorithmus (DE-588)4500954-5 gnd Mathematisches Modell (DE-588)4114528-8 gnd Geometrische Modellierung (DE-588)4156717-1 gnd Kurve (DE-588)4033824-1 gnd |
| subject_GND | (DE-588)4150970-5 (DE-588)4129864-0 (DE-588)4012248-7 (DE-588)4042907-6 (DE-588)4500954-5 (DE-588)4114528-8 (DE-588)4156717-1 (DE-588)4033824-1 |
| title | Curve and surface reconstruction algorithms with mathematical analysis |
| title_auth | Curve and surface reconstruction algorithms with mathematical analysis |
| title_exact_search | Curve and surface reconstruction algorithms with mathematical analysis |
| title_exact_search_txtP | Curve and surface reconstruction algorithms with mathematical analysis |
| title_full | Curve and surface reconstruction algorithms with mathematical analysis Tamal K. Dey |
| title_fullStr | Curve and surface reconstruction algorithms with mathematical analysis Tamal K. Dey |
| title_full_unstemmed | Curve and surface reconstruction algorithms with mathematical analysis Tamal K. Dey |
| title_short | Curve and surface reconstruction |
| title_sort | curve and surface reconstruction algorithms with mathematical analysis |
| title_sub | algorithms with mathematical analysis |
| topic | Curves on surfaces Surfaces Surfaces, Models of Mathematisches Modell Curves on surfaces Mathematical models Surfaces Mathematical models Ebene Kurve (DE-588)4150970-5 gnd Fläche (DE-588)4129864-0 gnd Differentialgeometrie (DE-588)4012248-7 gnd Oberfläche (DE-588)4042907-6 gnd Approximationsalgorithmus (DE-588)4500954-5 gnd Mathematisches Modell (DE-588)4114528-8 gnd Geometrische Modellierung (DE-588)4156717-1 gnd Kurve (DE-588)4033824-1 gnd |
| topic_facet | Curves on surfaces Surfaces Surfaces, Models of Mathematisches Modell Curves on surfaces Mathematical models Surfaces Mathematical models Ebene Kurve Fläche Differentialgeometrie Oberfläche Approximationsalgorithmus Geometrische Modellierung Kurve |
| url | http://www.loc.gov/catdir/enhancements/fy0659/2006017359-d.html http://www.loc.gov/catdir/enhancements/fy0659/2006017359-t.html http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015403789&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV011073737 |
| work_keys_str_mv | AT deytamalk curveandsurfacereconstructionalgorithmswithmathematicalanalysis |