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Group Theoretical Methods in Image Processing

Author: Reiner Lenz
Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1990.
Series: Lecture notes in computer science, 413.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Publication:Springer e-books.
Summary:
In this volume the author gives an introduction to the theory of group representations and their applications in image science. The main feature of the presentation is a systematic treatment of the invariance principle in image processing and pattern recognition with the help of group theoretical methods. The invariance properties of a problem often largely define the solution to the problem. Invariance principles  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Printed edition:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Reiner Lenz
ISBN: 9783540522904 3540522905 9783540469476 3540469478
OCLC Number: 793077065
Description: 1 online resource : v.: digital.
Contents: Preliminaries --
Representations of groups --
Representations of somes matrix groups --
Fourier series on compact groups --
Applications.
Series Title: Lecture notes in computer science, 413.
Responsibility: by Reiner Lenz.

Abstract:

In this volume the author gives an introduction to the theory of group representations and their applications in image science. The main feature of the presentation is a systematic treatment of the invariance principle in image processing and pattern recognition with the help of group theoretical methods. The invariance properties of a problem often largely define the solution to the problem. Invariance principles are well known in theoretical physics but their use in image processing is only a few years old. The reader will find that group theory provides a unifying framework for many problems in image science. The volume is based on graduate-level lectures given by the author, and the book is intended for students and researchers interested in theoretical aspects of computer vision.

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