Happy Holidays—Our $30 Gift Card just for you, and books ship free! Shop now>>

Springer Series in Information Sciences

Group-Theoretical Methods in Image Understanding

Authors: Kanatani, Kenichi

Free Preview

Buy this book

eBook $64.99
price for USA in USD (gross)
  • ISBN 978-3-642-61275-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
About this Textbook

Image understanding is an attempt to extract knowledge about a 3D scene from 20 images. The recent development of computers has made it possible to automate a wide range of systems and operations, not only in the industry, military, and special environments (space, sea, atomic plants, etc.), but also in daily life. As we now try to build ever more intelligent systems, the need for "visual" control has been strongly recognized, and the interest in image under­ standing has grown rapidly. Already, there exists a vast body of literature-ranging from general philosophical discourses to processing techniques. Compared with other works, however, this book may be unique in that its central focus is on "mathematical" principles-Lie groups and group representation theory, in particular. In the study of the relationship between the 3D scene and the 20 image, "geometry" naturally plays a central role. Today, so many branches are inter­ woven in geometry that we cannot truly regard it as a single subject. Neverthe­ less, as Felix Klein declared in his Erlangen Program, the central principle of geometry is group theory, because geometrical concepts are abstractions of properties that are "invariant" with respect to some group of transformations. In this text, we specifically focus on two groups of transformations. One is 20 rotations of the image coordinate system around the image origin. Such coordi­ nate rotations are indeed irrelevant when we look for intrinsic image properties.

Table of contents (10 chapters)

Table of contents (10 chapters)

Buy this book

eBook $64.99
price for USA in USD (gross)
  • ISBN 978-3-642-61275-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Group-Theoretical Methods in Image Understanding
Authors
Series Title
Springer Series in Information Sciences
Series Volume
20
Copyright
1990
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-61275-6
DOI
10.1007/978-3-642-61275-6
Series ISSN
0720-678X
Edition Number
1
Number of Pages
XII, 459
Topics