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Algorithmic Geometry

Algorithmic Geometry

CAD$97.95 (X)

textbook
  • Date Published: March 1998
  • availability: Available
  • format: Paperback
  • isbn: 9780521565295

CAD$ 97.95 (X)
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  • The design and analysis of geometric algorithms has seen remarkable growth in recent years, due to their application in computer vision, graphics, medical imaging, and CAD. Geometric algorithms are built on three pillars: geometric data structures, algorithmic data structuring techniques and results from combinatorial geometry. This comprehensive presents a coherent and systematic treatment of the foundations and gives simple, practical algorithmic solutions to problems. An accessible approach to the subject, Algorithmic Geometry is an ideal guide for instructors or for beginning graduate courses in computational geometry.

    • Systematic and coherent treatment
    • Practical algorithmic approach
    • Illustrated with simple but applicable examples
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    Reviews & endorsements

    "This interesting book about computational geometry is a translation of the well known ^Geometrie Algorithmique^...The translation also contains many more concise proofs, new interesting exercises (for instance about data structures), new explanatory figures, and a more extensive index." Mathematical Reviews

    "This text book is a careful introduction to this field. It does not aim for completeness, but concentrates on explaining the fundamental ideas, concepts, and structures: deterministic and randomized algorithms, convex hulls, triangulations, arrangements, Voronoi diagrams." Monatshefte fur Mathematik

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    Product details

    • Date Published: March 1998
    • format: Paperback
    • isbn: 9780521565295
    • length: 544 pages
    • dimensions: 246 x 189 x 28 mm
    • weight: 0.96kg
    • contains: 160 b/w illus. 1 table 182 exercises
    • availability: Available
  • Table of Contents

    Preface
    Part I. Algorithmic Tools:
    1. Notions of complexity
    2. Basic data structures
    3. Deterministic methods used in geometry
    4. Random sampling
    5. Randomized algorithms
    6. Dynamic randomized algorithms
    Part II. Convex Hulls:
    7. Polytopes
    8. Incremental convex hulls
    9. Convex hulls in 2 and 3 dimensions
    10. Linear programming
    Part III. Triangulations:
    11. Complexes and triangulations
    12 Triangulations in dimension 2
    13. Triangulations in dimension 3
    Part IV. Arrangements:
    14. Arrangements of hyperplanes
    15. Arrangements of line segments in the plane
    16. Arrangements of triangles
    Part V. Voronoi Diagrams:
    17. Euclidean metrics
    18. Non-Euclidean metrics
    19. Diagrams in the plane
    References
    Notation
    Index.

  • Authors

    Jean-Daniel Boissonnat, Institut National de Recherche en Informatique et en Automatique (INRIA), Rocquencourt

    Mariette Yvinec, Institut National de Recherche en Informatique et en Automatique (INRIA), Rocquencourt

    Translator

    Herve Bronniman

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