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Photogrammetric Computer Vision

Statistics, Geometry, Orientation and Reconstruction

  • Wolfgang Förstner
  • Bernhard P. Wrobel

Part of the Geometry and Computing book series (GC, volume 11)

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Wolfgang Förstner, Bernhard P. Wrobel
    Pages 1-16
  3. Statistics and Estimation

    1. Front Matter
      Pages 17-18
    2. Wolfgang Förstner, Bernhard P. Wrobel
      Pages 21-59
    3. Wolfgang Förstner, Bernhard P. Wrobel
      Pages 61-73
    4. Wolfgang Förstner, Bernhard P. Wrobel
      Pages 75-190
  4. Geometry

    1. Front Matter
      Pages 191-192
    2. Wolfgang Förstner, Bernhard P. Wrobel
      Pages 195-246
    3. Wolfgang Förstner, Bernhard P. Wrobel
      Pages 247-290
    4. Wolfgang Förstner, Bernhard P. Wrobel
      Pages 291-324
    5. Wolfgang Förstner, Bernhard P. Wrobel
      Pages 325-342
    6. Wolfgang Förstner, Bernhard P. Wrobel
      Pages 343-358
    7. Wolfgang Förstner, Bernhard P. Wrobel
      Pages 359-436
  5. Orientation and Reconstruction

    1. Front Matter
      Pages 437-438
    2. Wolfgang Förstner, Bernhard P. Wrobel
      Pages 441-454
    3. Wolfgang Förstner, Bernhard P. Wrobel
      Pages 455-545
    4. Wolfgang Förstner, Bernhard P. Wrobel
      Pages 547-620
    5. Wolfgang Förstner, Bernhard P. Wrobel
      Pages 621-641
    6. Wolfgang Förstner, Bernhard P. Wrobel
      Pages 643-725
    7. Wolfgang Förstner, Bernhard P. Wrobel
      Pages 727-766
  6. Back Matter
    Pages 767-816

About this book

Introduction

This textbook offers a statistical view on the geometry of multiple view analysis, required for camera calibration and orientation and for geometric scene reconstruction based on geometric image features. The authors have backgrounds in geodesy and also long experience with development and research in computer vision, and this is the first book to present a joint approach from the converging fields of photogrammetry and computer vision.

Part I of the book provides an introduction to estimation theory, covering aspects such as Bayesian estimation, variance components, and sequential estimation, with a focus on the statistically sound diagnostics of estimation results essential in vision metrology. Part II provides tools for 2D and 3D geometric reasoning using projective geometry. This includes oriented projective geometry and tools for statistically optimal estimation and test of geometric entities and transformations and their rela­tions, tools that are useful also in the context of uncertain reasoning in point clouds. Part III is de­voted to modelling the geometry of single and multiple cameras, addressing calibration and orienta­tion, including statistical evaluation and reconstruction of corresponding scene features and surfaces based on geometric image features. The authors provide algorithms for various geometric computa­tion problems in vision metrology, together with mathematical justifications and statistical analysis, thus enabling thorough evaluations. The chapters are self-contained with numerous figures and exer­cises, and they are supported by an appendix that explains the basic mathematical notation and a de­tailed index.

The book can serve as the basis for undergraduate and graduate courses in photogrammetry, com­puter vision, and computer graphics. It is also appropriate for researchers, engineers, and software developers in the photogrammetry and GIS industries, particularly those engaged with statistically based geometric computer vision methods.

Keywords

Computer Vision Geometric Operations Machine Vision Photogrammetry Vision Metrology

Authors and affiliations

  • Wolfgang Förstner
    • 1
  • Bernhard P. Wrobel
    • 2
  1. 1.Inst. für Geodäsie und GeoinformationRheinische Friedrich-Wilhelms-Univ. BonnBonnGermany
  2. 2.Institut für GeodäsieTechnische Universität DarmstadtDarmstadtGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-11550-4
  • Copyright Information Springer International Publishing Switzerland 2016
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-11549-8
  • Online ISBN 978-3-319-11550-4
  • Series Print ISSN 1866-6795
  • Series Online ISSN 1866-6809
  • Buy this book on publisher's site
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