Group Theoretical Methods in Image Processing

✍ Scribed by Reiner Lenz (auth.)

• Publisher: Springer-Verlag Berlin Heidelberg
• Year: 1990
• Tongue: English
• Leaves: 140
• Series: Lecture Notes in Computer Science 413
• Edition: 1
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

Introduction....Pages 1-3
Preliminaries....Pages 5-37
Representations of groups....Pages 39-49
Representations of somes matrix groups....Pages 51-73
Fourier series on compact groups....Pages 75-83
Applications....Pages 85-127

✦ Subjects

Pattern Recognition; Image Processing and Computer Vision; Group Theory and Generalizations