John Vince

Geometry for Computer Graphics (eBook, PDF)

Formulae, Examples and Proofs

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Springer London
• Seitenzahl: 342
• Erscheinungstermin: 16. Januar 2006
• Englisch
• ISBN-13: 9781846281167
• Artikelnr.: 37363572

Autorenporträt

John Vince, Bournemouth University, Ringwood, UK

Inhaltsangabe

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