Algebraic 3 D modeling:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Wellesley, Mass.
A K Peters
1996
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 222 S. graph. Darst. |
| ISBN: | 1568810237 |
Staff View
MARC
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| 246 | 1 | 3 | |a Algebraic 3D modeling |
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Record in the Search Index
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| adam_text | Contents
Preface vii
Acknowledgments ix
1 Motivation 1
1.1. The Objects of Modeling and Their Representations .... 1
1.2. Modeling with Boolean Set Operations 2
1.3. Stability of Boolean Set Operations 3
1.4. Looking for Algebraic Generalization 6
1.5. The Aim 8
1.6. Remarks on the Chapters 9
2 Polyhedra 15
2.1. Topological and Algebraic Variety 15
2.2. Supporting Sets and Regularization of Sets 17
2.3. General and i Polyhedra 21
2.4. Special Algebraic and Topological Description 23
2.5. Surfaces, Curves and Vertices of Simple Polyhedra 28
2.6. Boolean Characterization of Oriented Boundaries 31
3 Boundary Models 35
3.1. Tree and Graph Structures 35
3.2. Special Structures of the Graph Level 36
3.3. Linear Time Transformations of Graph Structure 40
3.4. A Possible Common Structure of i Polyhedra 43
3.5. Half Space Model into Boundary Representation 45
vi Contents
4 A Small Language Modeler 55
4.1. Principle of the Construction 56
4.2. Language Examples 62
4.3. The Metalanguage 70
4.4. Hybrid Geometric Files 71
4.5. General Remarks 77
4.6. Key Words and Characters 82
5 The Algebraic Model 85
5.1. The Boolean and the Weak Boolean Algebra 85
5.2. The Natural Modeling Algebra 93
5.3. Relations Between Boolean and Modified Operations .... 103
5.4. The Direct and the Small Modeling Algebra 104
5.5. Basic Operations 112
6 Computation of Algebraic Manifolds 117
6.1. Number Domains 117
6.2. Representation of a Polynomial Equation 124
6.3. The Solution of a Floating Point Equation 134
6.4. Quadric Intersection by Cardano s Formula 140
6.5. Tangential Quadrics as an Intersection Problem 145
7 Topological Specification of Forms and Shapes 151
7.1. Regular Set Algebras for Representation 152
7.2. Regularization 157
7.3. Parametric Continuity of Forms and Shapes 159
7.4. Removal of the Model Discontinuity 162
7.5. Parametrically Continuous Set Algebras 165
8 The Modeling Principle 167
8.1. Modeling Set Algebras on a Computer 167
8.2. Separation and Connection Sets 169
8.3. Modeling Elements 172
8.4. Principle and Specification 178
8.5. Some Constructive Modeling Algebras 180
A The GECO Language 187
B Coefficients of a Projected Curve 205
Bibliography 209
Index 219
|
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| illustrated | Illustrated |
| indexdate | 2024-07-09T18:33:15Z |
| institution | BVB |
| isbn | 1568810237 |
| language | English |
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| publisher | A K Peters |
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| spelling | Hartwig, Andreas Verfasser aut Algebraic 3 D modeling Andreas Hartwig Algebraic 3-D modeling Algebraic 3D modeling Wellesley, Mass. A K Peters 1996 X, 222 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Computer graphics Digital computer simulation Modellierung (DE-588)4170297-9 gnd rswk-swf Computersimulation (DE-588)4148259-1 gnd rswk-swf Computersimulation (DE-588)4148259-1 s DE-604 Modellierung (DE-588)4170297-9 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008679675&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Hartwig, Andreas Algebraic 3 D modeling Computer graphics Digital computer simulation Modellierung (DE-588)4170297-9 gnd Computersimulation (DE-588)4148259-1 gnd |
| subject_GND | (DE-588)4170297-9 (DE-588)4148259-1 |
| title | Algebraic 3 D modeling |
| title_alt | Algebraic 3-D modeling Algebraic 3D modeling |
| title_auth | Algebraic 3 D modeling |
| title_exact_search | Algebraic 3 D modeling |
| title_full | Algebraic 3 D modeling Andreas Hartwig |
| title_fullStr | Algebraic 3 D modeling Andreas Hartwig |
| title_full_unstemmed | Algebraic 3 D modeling Andreas Hartwig |
| title_short | Algebraic 3 D modeling |
| title_sort | algebraic 3 d modeling |
| topic | Computer graphics Digital computer simulation Modellierung (DE-588)4170297-9 gnd Computersimulation (DE-588)4148259-1 gnd |
| topic_facet | Computer graphics Digital computer simulation Modellierung Computersimulation |
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