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Introduction to Geometric Computing (Softcover)

Introduction to Geometric Computing (Softcover)

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LIKE NEW: This book is in excellent condition and appears as if it has never been used. It is printed on acid-free paper.

Product Details

From the back cover: "The geometric ideas in computer science, mathematics, engineering, and physics have considerable overlap and students in each of these disciplines will eventually encounter geometric computing problems. The topic is traditionally taught in mathematics departments via geometry courses, and in computer science through computer graphics modules. This text isolates the fundamental topics affecting these disciplines and lies at the intersection of classical geometry and modern computing.

"the main theme of the book is the definition of coordinate-free geometric software layers for Euclidean, spherical, projective, and oriented-projective geometries. Results are derived from elementary linear algebra and many classical computer graphics problems (including the graphics pipeline) are recast in this new language. Also included is a novel treatment of classical geometric and solid modeling problems. The definition of geometric software layers promotes reuse, speeds up debugging, and prepares the ground for a thorough discussion of advanced topics.

"Start-up programs are provided for many programming exercises making this an invaluable book for computer science lectures as well as software developers and researchers in the computer graphics industry."

BRIEF CONTENTS

  • Preface
  • Part I - Euclidean Geometry
    • 1 - 2D Computational Euclidean Geometry
    • 2 - Geometric Predicates
    • 3 - 3D Computational Euclidean Geometry
    • 4 - Affine Transformations
    • 5 - Affine Intersections
    • 6 - Genericity in Geometric Computing
    • 7 - Numerical Precision
  • Part II - Non-Euclidean Geometries
    • 8 - 1D Computational Spherical Geometry
    • 9 - 2D Computational Spherical Geometry
    • 10 - Rotations and Quaternions
    • 11 - Projective Geometry
    • 12 - Homogeneous Coordinates for Projective Geometry
    • 13 - Barycentric Coordinates
    • 14 - Oriented Projective Geometry
    • 15 - Oriented Projective Intersections
  • Part III - Coordinate-Free Geometry
    • 16 - Homogeneous Coordinates for Euclidean Geometry
    • 17 - Coordinate-Free Geometric Computing
    • 18 - Introduction to CGAL
  • Part IV - Raster Graphics
    • 19 - Segment Scan Conversion
    • 20 - Polygon-Point Conversion
    • 21 - Illumination and Shading
    • 22 - Raster-Based Visibility
    • 23 - Ray Tracing
  • Part V - Tree and Graph Drawing
    • 24 - Tree Drawing
    • 25 - Graph Drawing
  • Part VI - Geometric and Solid Modeling
    • 26 - Boundary Representations
    • 27 - The Halfedge Data Structure and Euler Operators
    • 28 - BSP Trees in Euclidean and Spherical Geometries
    • 29 - Geometry-Free Geometric Computing
    • 30 - Constructive Solid Geometry
  • Part VII - Vector Visibility
    • 31 - Visibility from Euclidean to Spherical Spaces
    • 32 - Visibility in Space
  • Appendices
    • A - The PostScript Language
    • B - OpenGL
    • C - The GLOW Toolkit
  • Bibliography
  • Index
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AUTHOR: Ghali;Sherif
PUBLISHER: Springer Science+Business Media
ISBN-13: 9781848001145
ISBN-10: 1848001142
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Introduction to Geometric Computing (Softcover)
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