Algebraic Geometry and Geometric Modeling

Editors:

ISBN: 978-3-540-33274-9 (Print) 978-3-540-33275-6 (Online)

Table of contents (15 chapters)

  1. Front Matter

    Pages I-X

  2. No Access

    Book Chapter

    Pages 1-22

    Algebraic geometry and geometric modeling: insight and computation

  3. No Access

    Book Chapter

    Pages 23-35

    Implicitization using approximation complexes

  4. No Access

    Book Chapter

    Pages 37-51

    Piecewise approximate implicitization: experiments using industrial data

  5. No Access

    Book Chapter

    Pages 53-69

    Computing with parameterized varieties

  6. No Access

    Book Chapter

    Pages 71-85

    Implicitization and Distance Bounds

  7. No Access

    Book Chapter

    Pages 87-101

    Singularities and their deformations: how they change the shape and view of objects

  8. No Access

    Book Chapter

    Pages 103-117

    Overview of topological properties of real algebraic surfaces

  9. No Access

    Book Chapter

    Pages 119-134

    Illustrating the classification of real cubic surfaces

  10. No Access

    Book Chapter

    Pages 135-150

    Bézier patches on almost toric surfaces

  11. No Access

    Book Chapter

    Pages 151-168

    On parametric surfaces of low degree in P3(C)

  12. No Access

    Book Chapter

    Pages 169-183

    On the intersection with revolution and canal surfaces

  13. No Access

    Book Chapter

    Pages 185-204

    A sampling algorithm computing self-intersections of parametric surfaces

  14. No Access

    Book Chapter

    Pages 205-216

    Elimination in generically rigid 3D geometric constraint systems

  15. No Access

    Book Chapter

    Pages 217-236

    Minkowski decomposition of convex lattice polygons

  16. No Access

    Book Chapter

    Pages 237-247

    Reducing the number of variables of a polynomial

  17. Back Matter

    Pages 249-252