Projective geometry and its applications to computer graphics:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Englewood Cliffs, N.J.
Prentice-Hall
1986
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XI, 403 S. graph. Darst. |
| ISBN: | 0137306490 |
Internformat
MARC
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| 100 | 1 | |a Penna, Michael A. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Projective geometry and its applications to computer graphics |c Michael A. Penna and Richard R. Patterson |
| 264 | 1 | |a Englewood Cliffs, N.J. |b Prentice-Hall |c 1986 | |
| 300 | |a XI, 403 S. |b graph. Darst. | ||
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Datensatz im Suchindex
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| adam_text | Contents
Preface ix
n
Perspective and Projective Geometry 1
Introduction 1
Section 1: The Study of Geometry 2
Section 2: A Model for Perspective 7
Section 3: The Projective Plane 15
Section 4: A Topological Model of the Projective Plane 26
Section 5: The Standard Embedded Projective Plane 32
Section 6: Some Synthetic Projective Geometry 39
Section 7: Remarks 49
Analytic Projective Geometry 54
Introduction 54
Section 1: Homogeneous Coordinates 55
Section 2: Projective Lines (Nonparametric Description) 63
Section 3: Projective Planes (Nonparametric Description) 77
Section 4: Projective Lines (Parametric Description) 86
v
Projective Transformations 97
Introduction 97
Section 1: Transformations of Projective Lines 101
Section 2: Transformations of Projective Planes 116
Section 3: The Geometry of Projective Transformations 126
Section 4: General Homogeneous Coordinates 149
Section 5: Coordinate Transformations 159
Section 6: The Cross Ratio 162
Section 7: An Important Result 171
Two Dimensional Graphics 176
Introduction 176
Section 1: The Complete Viewing Operation in Two Dimensions 177
Section 2: A Simple Two Dimensional Graphics Library 189
Section 3: A Two Dimensional Graphics Display Program 201
Three Dimensional Graphics 220
Introduction 220
Section 1: Some Concepts and Terminology 221
Section 2: The Complete Viewing Operation in Three Dimensions 226
Section 3: A Simple Three Dimensional Graphics Library 240
Section 4: A Three Dimensional Graphics Display Program 244
Section 5: Graphing Functions of Two Variables 255
Section 6: The Aesthetics of Perspective and Parallel Imaging 270
Section 7: Depth Clipping 296
Section 8: An Attitude Indicator Simulation 303
Reconstruction 322
Introduction 322
Section 1: Least Squares and the Right Inverse 323
Section 2: Object Reconstruction 329
Section 3: Camera Calibration 336
Section 4: Photogrammetric Reconstruction 341
vi Contents
1
Conies in Design 357
Introduction 357
Section 1: The Projective Theory of Conies 357
Section 2: The Conic through Five Points 369
Section 3: Additional Conic Fitting Problems 377
Bibliography 394
Index 396
Contents vii
|
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| illustrated | Illustrated |
| indexdate | 2024-07-09T15:43:28Z |
| institution | BVB |
| isbn | 0137306490 |
| language | English |
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| physical | XI, 403 S. graph. Darst. |
| publishDate | 1986 |
| publishDateSearch | 1986 |
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| publisher | Prentice-Hall |
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| spelling | Penna, Michael A. Verfasser aut Projective geometry and its applications to computer graphics Michael A. Penna and Richard R. Patterson Englewood Cliffs, N.J. Prentice-Hall 1986 XI, 403 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Computergraphics gtt Projectieve meetkunde gtt Computer graphics Geometry, Projective Computergrafik (DE-588)4010450-3 gnd rswk-swf Projektive Geometrie (DE-588)4047436-7 gnd rswk-swf Projektive Geometrie (DE-588)4047436-7 s Computergrafik (DE-588)4010450-3 s DE-604 Patterson, Richard R. Verfasser aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001505210&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Penna, Michael A. Patterson, Richard R. Projective geometry and its applications to computer graphics Computergraphics gtt Projectieve meetkunde gtt Computer graphics Geometry, Projective Computergrafik (DE-588)4010450-3 gnd Projektive Geometrie (DE-588)4047436-7 gnd |
| subject_GND | (DE-588)4010450-3 (DE-588)4047436-7 |
| title | Projective geometry and its applications to computer graphics |
| title_auth | Projective geometry and its applications to computer graphics |
| title_exact_search | Projective geometry and its applications to computer graphics |
| title_full | Projective geometry and its applications to computer graphics Michael A. Penna and Richard R. Patterson |
| title_fullStr | Projective geometry and its applications to computer graphics Michael A. Penna and Richard R. Patterson |
| title_full_unstemmed | Projective geometry and its applications to computer graphics Michael A. Penna and Richard R. Patterson |
| title_short | Projective geometry and its applications to computer graphics |
| title_sort | projective geometry and its applications to computer graphics |
| topic | Computergraphics gtt Projectieve meetkunde gtt Computer graphics Geometry, Projective Computergrafik (DE-588)4010450-3 gnd Projektive Geometrie (DE-588)4047436-7 gnd |
| topic_facet | Computergraphics Projectieve meetkunde Computer graphics Geometry, Projective Computergrafik Projektive Geometrie |
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