2008

Introduction to Geometric Computing

Authors:

ISBN: 978-1-84800-114-5 (Print) 978-1-84800-115-2 (Online)

Table of contents (32 chapters)

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  1. Front Matter

    Pages i-xvii

  2. Euclidean Geometry

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      Book Chapter

      Pages 3-15

      2D Computational Euclidean Geometry

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      Book Chapter

      Pages 17-25

      Geometric Predicates

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      Book Chapter

      Pages 27-34

      3D Computational Euclidean Geometry

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      Book Chapter

      Pages 35-50

      Affine Transformations

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      Book Chapter

      Pages 51-60

      Affine Intersections

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      Book Chapter

      Pages 61-68

      Genericity in Geometric Computing

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      Book Chapter

      Pages 69-83

      Numerical Precision

  3. Non-Euclidean Geometries

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      Book Chapter

      Pages 87-92

      1D Computational Spherical Geometry

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      Book Chapter

      Pages 93-100

      2D Computational Spherical Geometry

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      Book Chapter

      Pages 101-108

      Rotations and Quaternions

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      Book Chapter

      Pages 109-118

      Projective Geometry

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      Book Chapter

      Pages 119-142

      Homogeneous Coordinates for Projective Geometry

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      Book Chapter

      Pages 143-147

      Barycentric Coordinates

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      Book Chapter

      Pages 149-156

      Oriented Projective Geometry

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      Book Chapter

      Pages 157-168

      Oriented Projective Intersections

  4. Coordinate-Free Geometry

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      Book Chapter

      Pages 171-174

      Homogeneous Coordinates for Euclidean Geometry

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      Book Chapter

      Pages 175-181

      Coordinate-Free Geometric Computing

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      Book Chapter

      Pages 183-190

      Introduction to CGAL

  5. Raster Graphics

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      Book Chapter

      Pages 193-200

      Segment Scan Conversion

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      Book Chapter

      Pages 201-204

      Polygon-Point Containment

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