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Lecture Notes in Computer Science
cover

The Use of Projective Geometry in Computer Graphics

Authors: Herman, Ivan

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About this book

The ultimate goal of all 3D graphics systems is to render 3D objects on a two-dimensional surface such as plotter output or a workstation screen. The approach adopted by most graphics systems is to perform a central or parallel projection of the objects onto the view surface. These systems have to make use of the mathematical results of projective geometry. This monograph has as its aim the derivation of a framework for analyzing the behavior of projective transformations in graphics systems. It is shown that a mathematically precise description of the projective geometrical nature of a graphics system leads not only to a deeper understanding of the system but also to new approaches which result in faster or more precise algorithms. A further aim of the book is to show the importance of advanced mathematics for computer science. Many problems become easier to describe or to solve when the appropriate mathematical tools are used. The author demonstrates that projective geometry has a major role to play in computer graphics.

Table of contents (8 chapters)

Table of contents (8 chapters)
  • Introduction

    Pages 1-4

  • Projective geometry in general

    Pages 5-52

  • Practical use of four dimensional geometry

    Pages 53-83

  • Modelling clip

    Pages 85-99

  • Projective algorithms

    Pages 101-128

Buy this book

eBook $29.99
price for USA in USD (gross)
  • The eBook version of this title will be available soon
  • ISBN 978-3-540-46687-1
  • Digitally watermarked, DRM-free
  • Included format:
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $37.99
price for USA in USD
  • ISBN 978-3-540-55075-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
The Use of Projective Geometry in Computer Graphics
Authors
Series Title
Lecture Notes in Computer Science
Series Volume
564
Copyright
1992
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-46687-1
DOI
10.1007/3-540-55075-5
Softcover ISBN
978-3-540-55075-4
Series ISSN
0302-9743
Edition Number
1
Number of Pages
VIII, 151
Topics