Mathematical aspects of geometric modeling:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Philadelphia, Pa.
Soc. for Industrial and Applied Math.
1995
|
| Schriftenreihe: | National Science Foundation / Conference Board of the Mathematical Sciences: CBMS-NSF regional conference series in applied mathematics
65 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | IX, 256 S. graph. Darst. |
| ISBN: | 0898713315 |
Internformat
MARC
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| 100 | 1 | |a Micchelli, Charles A. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Mathematical aspects of geometric modeling |c Charles A. Micchelli |
| 264 | 1 | |a Philadelphia, Pa. |b Soc. for Industrial and Applied Math. |c 1995 | |
| 300 | |a IX, 256 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a National Science Foundation / Conference Board of the Mathematical Sciences: CBMS-NSF regional conference series in applied mathematics |v 65 | |
| 650 | 7 | |a Courbes sur les surfaces - Congrès |2 ram | |
| 650 | 7 | |a Geometrische methoden |2 gtt | |
| 650 | 7 | |a Surfaces (Mathématiques) - Congrès |2 ram | |
| 650 | 7 | |a Wiskundige modellen |2 gtt | |
| 650 | 4 | |a Mathematisches Modell | |
| 650 | 4 | |a Curves on surfaces |x Mathematical models |v Congresses | |
| 650 | 4 | |a Surfaces |x Mathematical models |v Congresses | |
| 650 | 0 | 7 | |a Kurve |0 (DE-588)4033824-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Geometrische Modellierung |0 (DE-588)4156717-1 |2 gnd |9 rswk-swf |
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| 810 | 2 | |a Conference Board of the Mathematical Sciences: CBMS-NSF regional conference series in applied mathematics |t National Science Foundation |v 65 |w (DE-604)BV000016696 |9 65 | |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-006671373 | ||
Datensatz im Suchindex
| _version_ | 1804124439932043264 |
|---|---|
| adam_text | Contents
1. Matrix subdivision 1
1.0. Introduction 1
1.1. de Castcljau subdivision 1
1.2. Matrix subdivision: Convergence criteria 10
1.3. Matrix subdivision: Reparameterization examples 20
1.4. Stochastic matrices 29
1.5. Corner cutting 34
1.6. Total positivity and variation diminishing curves 38
2. Stationary subdivision 55
2.0. Introduction 55
2.1. de Rahm Chaikin algorithm 55
2.2. Cardinal spline functions 58
2.3. Lane Riesenfeld subdivision 61
2.4. Stationary subdivision: Convergence 67
2.5. Hurwitz polynomials and stationary subdivision 83
2.6. Wavelet decomposition 96
3. Piecewise polynomial curves 105
3.0. Introduction 105
3.1. Geometric continuity: Reparameterization matrices 105
3.2. Curvatures and Frenet equation: Frenet matrices 110
3.3. Projection and lifting of curves 115
3.4. Connection matrices and piecewise polynomial curves 123
3.5. B spline basis 131
3.6. Dual functionals 135
3.7. Knot insertion and variation diminishing property
of the B spline basis 143
4. Geometric methods for piecewise polynomial surfaces 149
4.0. Introduction 149
4.1. B splines as volumes 149
vii
viii CONTENTS
4.2. Multivariate B splines: Smoothness and recursions 155
4.3. Multivariate B splines: Multiple points and explicit formula 169
4.4. Multivariate truncated powers: Smoothness and
recursion 176
4.5. More identities for the multivariate truncated power 186
4.6. The cube spline 192
4.7. Correspondence on the historical
development of B splines 200
5. Recursive algorithms for polynomial evaluation 207
5.0. Introduction 207
5.1. The de Casteljau recursion 207
5.2. Blossoming Bernstein Bezier polynomials: The univariate case. ... 211
5.3. Blossoming B spline series: The univariate case 215
5.4. Multivariate blossoming 219
5.5. Linear independence of lineal polynomials 222
5.6. B patches 227
5.7. Pyramid schemes 234
5.8. M patches 237
5.9. Subdivision by B patches 242
5.10. B patches are B splines 247
Index 253
|
| any_adam_object | 1 |
| author | Micchelli, Charles A. |
| author_facet | Micchelli, Charles A. |
| author_role | aut |
| author_sort | Micchelli, Charles A. |
| author_variant | c a m ca cam |
| building | Verbundindex |
| bvnumber | BV010055572 |
| callnumber-first | Q - Science |
| callnumber-label | QA565 |
| callnumber-raw | QA565 |
| callnumber-search | QA565 |
| callnumber-sort | QA 3565 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SD 1990 SK 380 SK 905 |
| ctrlnum | (OCoLC)30158650 (DE-599)BVBBV010055572 |
| dewey-full | 516.3/52 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.3/52 |
| dewey-search | 516.3/52 |
| dewey-sort | 3516.3 252 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV010055572 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T17:45:41Z |
| institution | BVB |
| isbn | 0898713315 |
| language | English |
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| physical | IX, 256 S. graph. Darst. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
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| publisher | Soc. for Industrial and Applied Math. |
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| series2 | National Science Foundation / Conference Board of the Mathematical Sciences: CBMS-NSF regional conference series in applied mathematics |
| spelling | Micchelli, Charles A. Verfasser aut Mathematical aspects of geometric modeling Charles A. Micchelli Philadelphia, Pa. Soc. for Industrial and Applied Math. 1995 IX, 256 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier National Science Foundation / Conference Board of the Mathematical Sciences: CBMS-NSF regional conference series in applied mathematics 65 Courbes sur les surfaces - Congrès ram Geometrische methoden gtt Surfaces (Mathématiques) - Congrès ram Wiskundige modellen gtt Mathematisches Modell Curves on surfaces Mathematical models Congresses Surfaces Mathematical models Congresses Kurve (DE-588)4033824-1 gnd rswk-swf Geometrische Modellierung (DE-588)4156717-1 gnd rswk-swf Fläche (DE-588)4129864-0 gnd rswk-swf (DE-588)1071861417 Konferenzschrift gnd-content Fläche (DE-588)4129864-0 s Geometrische Modellierung (DE-588)4156717-1 s DE-604 Kurve (DE-588)4033824-1 s Conference Board of the Mathematical Sciences: CBMS-NSF regional conference series in applied mathematics National Science Foundation 65 (DE-604)BV000016696 65 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006671373&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Micchelli, Charles A. Mathematical aspects of geometric modeling Courbes sur les surfaces - Congrès ram Geometrische methoden gtt Surfaces (Mathématiques) - Congrès ram Wiskundige modellen gtt Mathematisches Modell Curves on surfaces Mathematical models Congresses Surfaces Mathematical models Congresses Kurve (DE-588)4033824-1 gnd Geometrische Modellierung (DE-588)4156717-1 gnd Fläche (DE-588)4129864-0 gnd |
| subject_GND | (DE-588)4033824-1 (DE-588)4156717-1 (DE-588)4129864-0 (DE-588)1071861417 |
| title | Mathematical aspects of geometric modeling |
| title_auth | Mathematical aspects of geometric modeling |
| title_exact_search | Mathematical aspects of geometric modeling |
| title_full | Mathematical aspects of geometric modeling Charles A. Micchelli |
| title_fullStr | Mathematical aspects of geometric modeling Charles A. Micchelli |
| title_full_unstemmed | Mathematical aspects of geometric modeling Charles A. Micchelli |
| title_short | Mathematical aspects of geometric modeling |
| title_sort | mathematical aspects of geometric modeling |
| topic | Courbes sur les surfaces - Congrès ram Geometrische methoden gtt Surfaces (Mathématiques) - Congrès ram Wiskundige modellen gtt Mathematisches Modell Curves on surfaces Mathematical models Congresses Surfaces Mathematical models Congresses Kurve (DE-588)4033824-1 gnd Geometrische Modellierung (DE-588)4156717-1 gnd Fläche (DE-588)4129864-0 gnd |
| topic_facet | Courbes sur les surfaces - Congrès Geometrische methoden Surfaces (Mathématiques) - Congrès Wiskundige modellen Mathematisches Modell Curves on surfaces Mathematical models Congresses Surfaces Mathematical models Congresses Kurve Geometrische Modellierung Fläche Konferenzschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006671373&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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