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Geometric Methods and Applications

For Computer Science and Engineering

  • Jean Gallier

Part of the Texts in Applied Mathematics book series (TAM, volume 38)

Table of contents

  1. Front Matter
    Pages i-xxi
  2. Jean Gallier
    Pages 1-5
  3. Jean Gallier
    Pages 6-61
  4. Jean Gallier
    Pages 62-69
  5. Jean Gallier
    Pages 87-161
  6. Jean Gallier
    Pages 162-196
  7. Jean Gallier
    Pages 197-247
  8. Jean Gallier
    Pages 287-308
  9. Jean Gallier
    Pages 530-534
  10. Back Matter
    Pages 535-566

About this book

Introduction

As an introduction to fundamental geometric concepts and tools needed for solving problems of a geometric nature using a computer, this book attempts to fill the gap between standard geometry books, which are primarily theoretical, and applied books on computer graphics, computer vision, or robotics, which sometimes do not cover the underlying geometric concepts in detail. Gallier offers an introduction to affine geometry, projective geometry, Euclidean geometry, basics of differential geometry and Lie groups, and a glimpse of computational geometry (convex sets, Voronoi diagrams and Delaunay triangulations) and explores many of the practical applications of geometry. Some of these applications include computer vision (camera calibration) efficient communication, error correcting codes, cryptography, motion interpolation, and robot kinematics. This comprehensive text covers most of the geometric background needed for conducting research in computer graphics, geometric modeling, computer vision, and robotics and as such will be of interest to a wide audience including computer scientists, mathematicians, and engineers.

Keywords

Triangulation communication computational geometry computer graphics computer vision cryptography differential geometry differential geometry of surfaces geometry modeling robotics sets

Authors and affiliations

  • Jean Gallier
    • 1
  1. 1.Department of Computer and Information ScienceUniversity of PennsylvaniaPhiladelphiaUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4613-0137-0
  • Copyright Information Springer-Verlag New York, Inc. 2001
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-6509-2
  • Online ISBN 978-1-4613-0137-0
  • Series Print ISSN 0939-2475
  • Buy this book on publisher's site