Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Hochschulschrift/Dissertation Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Berlin u.a.
Springer
1992
|
| Schriftenreihe: | Lecture notes in computer science
564 |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002870688&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Beschreibung: | Literaturverz. S. [141] - 146 |
| Umfang: | VIII, 146 S. graph. Darst. |
| ISBN: | 3540550755 0387550755 |
Internformat
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| 100 | 1 | |a Herman, Ivan |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a The use of projective geometry in computer graphics |c I. Herman |
| 264 | 1 | |a Berlin u.a. |b Springer |c 1992 | |
| 300 | |a VIII, 146 S. |b graph. Darst. | ||
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| 490 | 1 | |a Lecture notes in computer science |v 564 | |
| 500 | |a Literaturverz. S. [141] - 146 | ||
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Datensatz im Suchindex
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|---|---|
| DE-BY-TUM_katkey | 539379 |
| DE-BY-TUM_location | 01 |
| DE-BY-TUM_media_number | 040020516854 |
| _version_ | 1821934416397598720 |
| adam_text |
Contents
1 Introduction 1
2 Projective Geometry in General 5
2.1 Some History 5
2.2 Notational Conventions 7
2.3 The Axiomatic System of Projective Geometry 8
2.3.1 Background 8
2.3.2 The Basic Construction 10
2.4 Projective Coordinate Systems 16
2.5 Isomorphic Models of Projective Planes and Projective Spaces 21
2.5.1 Riemann Sphere 21
2.5.2 Embedding Into ZR3/2R4 (the Straight Model) 23
2.6 Some Basic Calculation Formulae 24
2.6.1 Formulae for the Projective Plane 25
2.6.2 Formulae for the Projective Space 26
2.7 Collinearities 27
2.7.1 Representation of Collinearities 29
2.7.2 Viewing and Modelling Transformation 31
2.7.3 Description of Collinearities Based on the Straight Model 33
2.8 Division Ratio and Cross Ratio 35
2.9 Projective Theory of Conies 42
2.9.1 Introduction 42
2.9.2 General Theory of Conies 44
2.9.2.1 The 2D Case 44
2.9.2.2 The 3D Case 49
3 Practical Use of Four Dimensional Geometry 53
3.1 The W Wraparound Problem 53
3.1.1 Introduction 53
3.1.2 The W Clip 56
3.1.3 The UW Clip 63
3.1.4 Comparison of the W Clip and the UW Clip 65
3.2 Linear Primitives in/R4 66
3.2.1 Cell Array 66
3.2.2 Pattern Filling 70
3.2.3 STROKE Characters 73
3.3 Conies 74
3.3.1 Introduction 74
3.3.2 Affine Invariant Formulae 76
3.3.2.1 Ellipses 76
3.3.2.2 Hyperbolae 79
3.3.2.3 Parabolae 81
4 Modelling Clip 85
4.1 Problem Description 85
4.2 Solutions in 4D 91
4.3 A General Solution 95
5 Projective Algorithms 101
5.1 Introduction 101
5.2 Regular Subdivisions and Their Images 103
5.2.1 Regular Subdivision of Lines 104
5.2.2 Cell Array 112
5.2.3 Pattern Filling 117
5.2.4 STROKE Characters 122
5.3 Conies 124
6 Conclusions 129
7 Directions for Further Research 131
8 An Unsolved Problem: Shaded B Spline Surfaces 135
References 141 |
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| illustrated | Illustrated |
| indexdate | 2025-01-11T18:57:18Z |
| institution | BVB |
| isbn | 3540550755 0387550755 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002870688 |
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| physical | VIII, 146 S. graph. Darst. |
| publishDate | 1992 |
| publishDateSearch | 1992 |
| publishDateSort | 1992 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in computer science |
| series2 | Lecture notes in computer science |
| spellingShingle | Herman, Ivan The use of projective geometry in computer graphics Lecture notes in computer science Computergrafik (DE-588)4010450-3 gnd Projektive Geometrie (DE-588)4047436-7 gnd |
| subject_GND | (DE-588)4010450-3 (DE-588)4047436-7 (DE-588)4113937-9 |
| title | The use of projective geometry in computer graphics |
| title_auth | The use of projective geometry in computer graphics |
| title_exact_search | The use of projective geometry in computer graphics |
| title_full | The use of projective geometry in computer graphics I. Herman |
| title_fullStr | The use of projective geometry in computer graphics I. Herman |
| title_full_unstemmed | The use of projective geometry in computer graphics I. Herman |
| title_short | The use of projective geometry in computer graphics |
| title_sort | the use of projective geometry in computer graphics |
| topic | Computergrafik (DE-588)4010450-3 gnd Projektive Geometrie (DE-588)4047436-7 gnd |
| topic_facet | Computergrafik Projektive Geometrie Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002870688&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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Inhaltsverzeichnis
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Teilbibliothek Mathematik & Informatik
| Signatur: | 0102 DAT 001z 2001 A 999-564 |
|---|---|
| Exemplar 1 | Ausleihbar Am Standort |