Geometric Concepts for Geometric Design

1. Auflage 2019
ISBN: 978-0-367-44993-3
Verlag: Taylor & Francis Ltd (Sales)

Buch, Englisch, 424 Seiten, Format (B × H): 150 mm x 225 mm, Gewicht: 580 g

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.

Autoren/Hrsg.

Prautzsch, Hartmut

Boehm, Wolfgang

Fachgebiete

• Mathematik | Informatik EDV | Informatik Professionelle Anwendung
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

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

Über Autor(innen)

Prautzsch, Hartmut; Boehm, Wolfgang