Geometric Concepts for Geometric Design: 1st Edition (Hardback) book cover

Geometric Concepts for Geometric Design

1st Edition

By Hartmut Prautzsch, Wolfgang Boehm

A K Peters/CRC Press

424 pages

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Hardback: 9781568810041
pub: 1993-05-06
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This book is a comprehensive tool both for self-study and for use as a text in classical geometry. It explains the concepts that form the basis for computer-aided geometric design.

Table of Contents

I: Some Linear Algebra 1. Linear Systems 2. Linear Spaces 3. Least Squares II: Images and Projections 4. Parallel Projections 5. Moving the Object 6. Perspective Drawings 7. The Mapping Matrix 8. Reconstruction III: Affine Geometry 9. Affine Space 10. The Barycentric Calculus 11. Affine Maps 12. Affine Figures 13. Quadrics in Affine Spaces 14. More on Affine Quadrics 15. Homothetic Pencils IV: Euclidean Geometry 16. The Euclidean Space 17. Some Euclidean Figures 18. Quadrics in Euclidean Space 19. Focal Properties V: Some Projective Geometry 20. The Projective Space 21. Projective Maps 22. Some Projective Figures 23. Projective Quadrics VI: Some Descriptive Geometry 24. Associated Projections 25. Penetrations VII: Basic Algebraic Geometry 26. Implicit Curves and Surfaces 27. Parametric Curves and Surfaces 28. Some Elimination Methods 29. Implicitization, Inversion and Intersection VIII: Differential Geometry 30. Curves 31. Curves on Surfaces 32. Surfaces

Subject Categories

BISAC Subject Codes/Headings:
COMPUTERS / Computer Graphics
MATHEMATICS / Geometry / General