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  • © 2004

Uncertain Projective Geometry

Statistical Reasoning for Polyhedral Object Reconstruction

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Part of the book series: Lecture Notes in Computer Science (LNCS, volume 3008)

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Table of contents (9 chapters)

  1. Front Matter

  2. 1 Introduction

    • Stephan Heuel
    Pages 1-17
  3. 4 Statistical Geometric Reasoning

    • Stephan Heuel
    Pages 97-148
  4. 5 Polyhedral Object Reconstruction

    • Stephan Heuel
    Pages 149-172
  5. 6 Conclusions

    • Stephan Heuel
    Pages 173-177
  6. A Notation

    • Stephan Heuel
    Pages 179-181
  7. B Linear Algebra

    • Stephan Heuel
    Pages 183-185
  8. C Statistics

    • Stephan Heuel
    Pages 187-195
  9. Back Matter

About this book

Algebraic projective geometry, with its multilinear relations and its embedding into Grassmann-Cayley algebra, has become the basic representation of multiple view geometry, resulting in deep insights into the algebraic structure of geometric relations, as well as in efficient and versatile algorithms for computer vision and image analysis.

This book provides a coherent integration of algebraic projective geometry and spatial reasoning under uncertainty with applications in computer vision. Beyond systematically introducing the theoretical foundations from geometry and statistics and clear rules for performing geometric reasoning under uncertainty, the author provides a collection of detailed algorithms.

The book addresses researchers and advanced students interested in algebraic projective geometry for image analysis, in statistical representation of objects and transformations, or in generic tools for testing and estimating within the context of geometric multiple-view analysis.

Keywords

  • Computer
  • algebraic projective geometry
  • algorithms
  • computer vision
  • geometric reasoning
  • image analysis
  • multiple view geometry
  • object recognition
  • pattern recognition
  • polyhedral object reconst
  • spatial reasoning
  • statistical geometric reasoning
  • statistical representation
  • statistics
  • uncertainty

Authors and Affiliations

  • Institute for Photogrammetry, University of Bonn, Bonn, Germany

    Stephan Heuel

Bibliographic Information

Buying options

eBook USD 44.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 59.99
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions