The Geometry of Multiple Images: The Laws That Govern the Formation of Multiple Images of a Scene and Some of Their Applications

Paperback (Print)
Used and New from Other Sellers
Used and New from Other Sellers
from $30.97
Usually ships in 1-2 business days
(Save 36%)
Other sellers (Paperback)
  • All (10) from $30.97   
  • New (6) from $33.89   
  • Used (4) from $30.97   

Overview

Over the last forty years, researchers have made great strides in elucidating the laws of image formation, processing, and understanding by animals,humans, and machines. This book describes the state of knowledge in one subarea of vision, the geometric laws that relate different views of a scene. Geometry, one of the oldest branches of mathematics, is the natural language for describing three-dimensional shapes and spatial relations. Projective geometry, the geometry that best models image formation, provides a unified framework for thinking about many geometric problems relevant to vision. The book formalizes and analyzes the relations between multiple views of a scene from the perspective of various types of geometries. A key feature is that it considers Euclidean and affine geometries as special cases of projective geometry.Images play a prominent role in computer communications. Producers and users of images, in particular three-dimensional images, require a framework for stating and solving problems. The book offers a number of conceptual tools and theoretical results useful for the design of machine vision algorithms. It also illustrates these tools and results with many examples of real applications.

Read More Show Less

What People Are Saying

From the Publisher
"This is a novel, well-written, thorough presentation of a topic of clear interest in the computer vision field."—Eric Grimson, Bernard Gordon Professor of Medical Engineering, MIT

"This is an excellent book that will be widely read and should serve as a useful reference for the machine vision and computer graphics communities."—Seth Teller, Laboratory of Computer Science, MIT

Read More Show Less

Product Details

  • ISBN-13: 9780262562041
  • Publisher: MIT Press
  • Publication date: 3/1/2004
  • Edition description: New Edition
  • Pages: 668
  • Product dimensions: 8.00 (w) x 9.00 (h) x 1.10 (d)

Meet the Author

Olivier Faugeras is Research Director and head of a computer vision group at INRIA and Adjunct Professor of Electrical Engineering and Computer Science at the Massachusetts Institute of Technology. He is the author of Three-Dimensional Computer Vision (MIT Press, 1993).

Quang-Tuan Luong is a computer scientist in the Artifical Intelligence Center at SRI International, California.

Read More Show Less

Table of Contents

Preface
Notation
1 A tour into multiple image geometry 1
2 Projective, affine and Euclidean geometries 63
3 Exterior and double or Grassmann-Cayley algebras 127
4 One camera 173
5 Two views: The Fundamental matrix 247
6 Estimating the Fundamental matrix 315
7 Stratification of binocular stereo and applications 359
8 Three views: The trifocal geometry 409
9 Determining the Trifocal tensor 469
10 Stratification of n [actual symbol not reproducible] 3 views and applications 501
11 Self-calibration of a moving camera: From affine or projective calibration to full Euclidean calibration 539
A: Appendix 593
References 597
Index 635
Read More Show Less

Customer Reviews

Be the first to write a review
( 0 )
Rating Distribution

5 Star

(0)

4 Star

(0)

3 Star

(0)

2 Star

(0)

1 Star

(0)

Your Rating:

Your Name: Create a Pen Name or

Barnes & Noble.com Review Rules

Our reader reviews allow you to share your comments on titles you liked, or didn't, with others. By submitting an online review, you are representing to Barnes & Noble.com that all information contained in your review is original and accurate in all respects, and that the submission of such content by you and the posting of such content by Barnes & Noble.com does not and will not violate the rights of any third party. Please follow the rules below to help ensure that your review can be posted.

Reviews by Our Customers Under the Age of 13

We highly value and respect everyone's opinion concerning the titles we offer. However, we cannot allow persons under the age of 13 to have accounts at BN.com or to post customer reviews. Please see our Terms of Use for more details.

What to exclude from your review:

Please do not write about reviews, commentary, or information posted on the product page. If you see any errors in the information on the product page, please send us an email.

Reviews should not contain any of the following:

  • - HTML tags, profanity, obscenities, vulgarities, or comments that defame anyone
  • - Time-sensitive information such as tour dates, signings, lectures, etc.
  • - Single-word reviews. Other people will read your review to discover why you liked or didn't like the title. Be descriptive.
  • - Comments focusing on the author or that may ruin the ending for others
  • - Phone numbers, addresses, URLs
  • - Pricing and availability information or alternative ordering information
  • - Advertisements or commercial solicitation

Reminder:

  • - By submitting a review, you grant to Barnes & Noble.com and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Noble.com Terms of Use.
  • - Barnes & Noble.com reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & Noble.com also reserves the right to remove any review at any time without notice.
  • - See Terms of Use for other conditions and disclaimers.
Search for Products You'd Like to Recommend

Recommend other products that relate to your review. Just search for them below and share!

Create a Pen Name

Your Pen Name is your unique identity on BN.com. It will appear on the reviews you write and other website activities. Your Pen Name cannot be edited, changed or deleted once submitted.

 
Your Pen Name can be any combination of alphanumeric characters (plus - and _), and must be at least two characters long.

Continue Anonymously

    If you find inappropriate content, please report it to Barnes & Noble
    Why is this product inappropriate?
    Comments (optional)