Geometry for Computer Graphics : Formulae, Examples and Proofs

John Vince

ISBN 10: 1852338342 / ISBN 13: 9781852338343

Editore: Springer London Jan 2005, 2005

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Neuware - 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. Codice articolo 9781852338343

Dati bibliografici

Titolo: Geometry for Computer Graphics : Formulae, ...

Casa editrice: Springer London Jan 2005

Data di pubblicazione: 2005

Legatura: Buch

Condizione: Neu

Descrizione articolo

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.

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