Computer Graphics: Mathematical First Steps
Addison Wesley (Verlag)
978-0-13-599572-3 (ISBN)
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Computer Graphics - First Mathematical Steps will help students to master basic Computer Graphics and the mathematical concepts which underlie this subject. They will be led to develop their own skills, and appreciate Computer Graphics techniques in both two and three dimensions. The presentation of the text is methodical, systematic and gently paced - everything translates into numbers and simple ideas. Sometimes students experience difficulty in understanding some of the mathematics in standard Computer Graphics books; this book can serve as a good introduction to more advanced texts. It starts from first principles and is sympathetically written for those with a limited mathematical background.
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.
I -POINTS, LINES AND PLANAR CURVES: VECTOR ALGEBRA 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 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; Homogeneous 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 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 Appendices
| Erscheint lt. Verlag | 26.2.1998 |
|---|---|
| Verlagsort | Boston |
| Sprache | englisch |
| Maße | 172 x 235 mm |
| Gewicht | 580 g |
| Themenwelt | Informatik ► Weitere Themen ► CAD-Programme |
| ISBN-10 | 0-13-599572-8 / 0135995728 |
| ISBN-13 | 978-0-13-599572-3 / 9780135995723 |
| Zustand | Neuware |
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