TY  - BOOK
AU  - Lenz,Reiner
ED  - SpringerLink (Online service)
TI  - Group Theoretical Methods in Image Processing
T2  - Lecture Notes in Computer Science,
SN  - 9783540469476
AV  - Q337.5 
U1  - 006.4 23
PY  - 1990///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg
KW  - Computer science
KW  - Computer vision
KW  - Optical pattern recognition
KW  - Group theory
KW  - Computer Science
KW  - Pattern Recognition
KW  - Image Processing and Computer Vision
KW  - Group Theory and Generalizations
N1  - Preliminaries -- Representations of groups -- Representations of somes matrix groups -- Fourier series on compact groups -- Applications
N2  - 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
UR  - http://dx.doi.org/10.1007/3-540-52290-5
ER  -