Geometric Concepts for Geometric Design

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.

List 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

About the author

Prautzsch, Hartmut; Boehm, Wolfgang

Summary

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.

Product details

• Authors: Wolfgang Boehm, Boehm Wolfgang, Wolfgang Böhm, Hartmut Prautzsch, Prautzsch Hartmut
• Publisher: Peters, Wellesley
• Languages: English
• Product format: Hardback
• Released: 01.01.1993
• EAN: 9781568810041
• ISBN: 978-1-56881-004-1
• No. of pages: 424
• Weight: 758 g
• Illustrations: w. numerous figs.
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Geometry; MATHEMATICS / General, MATHEMATICS / Applied, MATHEMATICS / Geometry / General, computer science, geometry, Applied mathematics, Information technology: general issues, Information technology: general topics