Geometric Concepts for Geometric Design / Edition 1

by Hartmut Prautzsch, Wolfgang Boehm

Overview

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

ISBN-13:	9781568810041
Publisher:	Taylor & Francis
Publication date:	05/06/1993
Pages:	424
Product dimensions:	6.00(w) x 9.00(h) x (d)

About the Author

Prautzsch, Hartmut; Boehm, Wolfgang

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