Geometry for Computer Graphics: Formulae, Examples and Proofs - Brossura

Vince, John A.

Brossura

ISBN 10: 1849969337 ISBN 13: 9781849969338

Casa editrice: Springer, 2010

Riassunto

A complete overview of the geometry associated with computer graphics that provides everything a reader needs to understand the topic.

Includes a summary hundreds of formulae used to solve 2D and 3D geometric problems; worked examples; proofs; mathematical strategies for solving geometric problems; a glossary of terms used in geometry.

Su questo libro

Contenuti

1 GEOMETRY

1.1 Lines, angles and trigonometry

1.2 Circe

1.3 Triangle

1.4 Quadrilaterals

1.5 Polygon

1.6 Three-dimensional objects

1.7 Coordinate systems

1.8 Vectors

1.9 Quaternions

1.10 Transformations

1.11 2D Straight line

1.12 Lines and circles

1.13 Second degree curves

1.14 3D Straight line

1.15 The plane

1.16 Line, plane and sphere

1.17 3D Triangle

1.18 Parametric curves and patches

1.19 Second-degree surfaces in standard form

2 EXAMPLES

2.1 Trigonometry

2.2 Circe

2.3 Triangle

2.4 Quadrilateral

2.5 Polygon

2.6 Three-dimensional objects

2.7 Coordinate systems

2.8 Vectors

2.9 Quaternions

2.10 Transformations

2.11 2D Straight line

2.12 Lines and a circle

2.13 Second degree curves

2.14 3D Straight line

2.15 The plane

2.16 Line, plane and sphere

2.17 3D Triangle

2.18 Parametric curves and patches

2.19 Second-degree surfaces in standard form

3 PROOFS

3.1 Trigonometry

3.2 Circle

3.3 Triangle

3.4 Quadrilateral

3.5 Polygon

3.6 Three-dimensional objects

3.7 Coordinate systems

3.8 Vectors

3.9 Quaternions

3.10 Transformations

3.12 Lines and circles

3.13 Second degree curves

3.14 3D Straight line

3.15 The plane

3.16 Line, plane and sphere

3.17 3D Triangle

3.18 Parametric curves and patches

4 GLOSSARY

5 BIBLIOGRAPHY

Dettagli dell?edizione

• Editore: Springer
• Data di pubblicazione: 2010
• ISBN 10: 1849969337
• ISBN 13: 9781849969338
• Rilegatura: Copertina flessibile
• Lingua: Inglese
• Numero di pagine: 368