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.