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.

Full Product Details

Author:   Hartmut Prautzsch ,  Wolfgang Boehm
Publisher:   Taylor & Francis Inc
Imprint:   A K Peters
Dimensions:   Width: 15.20cm , Height: 2.60cm , Length: 22.90cm
Weight:   0.752kg
ISBN:  

9781568810041

ISBN 10:   1568810040
Pages:   424
Publication Date:   06 May 1993
Audience:   College/higher education ,  General/trade ,  Tertiary & Higher Education ,  General
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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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

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Prautzsch, Hartmut; Boehm, Wolfgang

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