Foundations of Computer Vision

Computational Geometry, Visual Image Structures and Object Shape Detection

  • James F. Peters

Part of the Intelligent Systems Reference Library book series (ISRL, volume 124)

Table of contents

  1. Front Matter
    Pages i-xvii
  2. James F. Peters
    Pages 1-85
  3. James F. Peters
    Pages 87-124
  4. James F. Peters
    Pages 125-144
  5. James F. Peters
    Pages 145-160
  6. James F. Peters
    Pages 199-209
  7. Back Matter
    Pages 291-431

About this book


This book introduces the fundamentals of computer vision (CV), with a focus on extracting useful information from digital images and videos. Including a wealth of methods used in detecting and classifying image objects and their shapes, it is the first book to apply a trio of tools (computational geometry, topology and algorithms) in solving CV problems, shape tracking in image object recognition and detecting the repetition of shapes in single images and video frames. Computational geometry provides a visualization of topological structures such as neighborhoods of points embedded in images, while image topology supplies us with structures useful in the analysis and classification of image regions. Algorithms provide a practical, step-by-step means of viewing image structures.

The implementations of CV methods in Matlab  and Mathematica, classification of chapter problems with the symbols  (easily solved) and (challenging) and its extensive glossary of key words, examples and connections with the fabric of CV make the book an invaluable resource for advanced undergraduate and first year graduate students in Engineering, Computer Science or Applied Mathematics.

It offers insights into the design of CV experiments, inclusion of image processing methods in CV projects, as well as the reconstruction and interpretation of recorded natural scenes.


Basics computer vision Computational Geometry Image Processing Introduction computer vision Structures and Patterns Vector Spaces image Analysis

Authors and affiliations

  • James F. Peters
    • 1
  1. 1.Electrical & Computer EngineeringUniversity of ManitobaWinnipegCanada

Bibliographic information

  • DOI
  • Copyright Information Springer International Publishing AG 2017
  • Publisher Name Springer, Cham
  • eBook Packages Engineering Engineering (R0)
  • Print ISBN 978-3-319-52481-8
  • Online ISBN 978-3-319-52483-2
  • Series Print ISSN 1868-4394
  • Series Online ISSN 1868-4408
  • Buy this book on publisher's site
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