Computer graphic: first mathematical steps (paper)
Authors: EGERTON Patricia, HALL WilliamLanguage: Anglais
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280 p. · 23.5x17.8 cm · Paperback
Computer Graphics - First Mathematical Steps is suitable for supporting undergraduate programmes in Computers and also the newer areas of Computer Graphics and Visualization. It is appropriate for post-graduate conversion courses which develop expertise in Computer Graphics and CAD. It can also be used for enrichment topics for high-flying pre-college students, and for refresher/enhancement courses for computer graphics technicians.
1. Shapes inside a Computer.
2. Points in a Plane: Position Vectors.
3. Angles Between Lines, Introducing the Third Dimension: Scalar Products.
4. Finding Normals to Planes: Vector Products.
5. Following a Line: Parameters.
6. Lines in Space: Vector Equations.
7. Lines and Common Curves: Parametric and Cartesian Forms.
PART II - TRANSFORMATIONS: MATRIX ALGEBRA.
8. Tools for Transformations: Matrices.
9. Moving in a Plane (I): Scaling, Reflection and Rotation.
10. Moving in a Plane (II): Combining Transformations: Translations.
11. Sizing Things Up, Homogenous Vectors.
12. Useful Manoeuvers: "Non-Standard" Rotations and Reflections, and the Viewing Transformations.
13. Into the Third Dimension: Moving Along Rays, Points at Infinity, and Three-Dimensional Transformations.
14. Points of View. Single Point Perspective, and Projection.
15. A Greater Sense of Perspective: Two Point and Three Point Perspective.
PART III - SPACE, CURVES AND SURFACES: DIFFERENTIATION.
16. Slopes of Lines and Planar Curves: Gradient Functions.
17. Slopes of Space Curves: Tangents and Normals.
18. Curve Fitting: Interpolation and Shape Functions.
19. Planes and Surfaces: Biparametric Forms, Sweeps and Revolutions.
20. Wire Frame Surfaces, Surface Tangents and Normals: Partial Differentiation.
21. Piecewise Surfaces: Quadrilateral Patches.
22. Computer Graphics: Next Steps.
Books for Further Reading.
- Covers the basic Computer Graphics applications, including rotations, reflections, translations, perspective and projection, and also the generation of lines, curves and surfaces.
- The basic mathematical techniques covered include vectors and matrices.
- More advanced techniques are introduced to encourage further study.
- Assumes little previous knowledge of the subject - the material is accessible to anybody with a GCSE in mathematics.
- Packed with pedagogical features, including worked examples and end-of-chapter exercises with full answers.
- A glossary of important terms is included to assist the reader.