Jan Flusser & Barbara Zitova 
Moments and Moment Invariants in Pattern Recognition [PDF ebook] 

Authors’ biographies.
Preface.
Acknowledgments.
1 Introduction to moments.
1.1 Motivation.
1.2 What are invariants?
1.3 What are moments?
1.4 Outline of the book.
References.
2 Moment invariants to translation, rotation and
scaling.
2.1 Introduction.
2.2 Rotation invariants from complex moments.
2.3 Pseudoinvariants.
2.4 Combined invariants to TRS and contrast changes.
2.5 Rotation invariants for recognition of symmetric
objects.
2.6 Rotation invariants via image normalization.
2.7 Invariants to nonuniform scaling.
2.8 TRS invariants in3D.
2.9 Conclusion.
References.
3 Affine moment invariants.
3.1 Introduction.
3.2 AMIs derived from the Fundamental theorem.
3.3 AMIs generated by graphs.
3.4 AMIs via image normalization.
3.5 Derivation of the AMIs from the Cayley-Aronhold
equation.
3.6 Numerical experiments.
3.7 Affine invariants of color images.
3.8 Generalization to three dimensions.
3.9 Conclusion.
Appendix.
References.
4 Implicit invariants to elastic transformations.
4.1 Introduction.
4.2 General moments under a polynomial transform.
4.3 Explicit and implicit invariants.
4.4 Implicit invariants as a minimization task.
4.5 Numerical experiments.
4.6 Conclusion.
References.
5 Invariants to convolution.
5.1 Introduction.
5.2 Blur invariants for centrosymmetric PSFs.
5.3 Blur invariants for N-fold symmetric PSFs.
5.4 Combined invariants.
5.5 Conclusion.
Appendix.
References.
6 Orthogonal moments.
6.1 Introduction.
6.2 Moments orthogonal on a rectangle.
6.3 Moments orthogonal on a disk.
6.4 Object recognition by ZMs.
6.5 Image reconstruction from moments.
6.6 Three-dimensional OG moments.
6.7 Conclusion.
References.
7 Algorithms for moment computation.
7.1 Introduction.
7.2 Moments in a discrete domain.
7.3 Geometric moments of binary images.
7.4 Geometric moments of graylevel images.
7.5 Efficient methods for calculating OG moments.
7.6 Generalization to n dimensions.
7.7 Conclusion.
References.
8 Applications.
8.1 Introduction.
8.2 Object representation and recognition.
8.3 Image registration.
8.4 Robot navigation.
8.5 Image retrieval.
8.6 Watermarking.
8.7 Medical imaging.
8.8 Forensic applications.
8.9 Miscellaneous applications.
8.10 Conclusion.
References.
9 Conclusion.
Index.

Professor Jan Flusser, Ph D, Dsc, is a director of the
Institute of Information Theory and Automation of the ASCR, Prague,
Czech Republic, and a full professor of Computer Science at the
Czech Technical University, Prague, and at the Charles University ,
Prague. Jan Flusser’s research areas are moments and moment
invariants, image regristration, image fusion, multichannel blind
deconvolution and super-resolution imaging. He has authored
and coauthored more than 150 research publications in these areas,
including tutorials (ICIP’05, ICIP’07,
EUSIPCO’07, CVPR’08, FUSION’08, SPPRA’09,
SCIA’09) and invited/keynote talks (ICCS’06,
COMPSTAT’06, WIO’06, DICTA’07, CGIM’08) at
major international conferences. He gives undergraduate and
graduate courses on digital image processing, pattern recognition,
and moment invariants and wavelets. Personal webpage
http://www.utia.cas.cz/people/flusser.
TomáS Suk, Ph D, is a research fellow of the
same Institute. His research interests include invariant features,
moment and point-based invariants, color spaces and geometric
transformations. He has authored and coauthored more than 50
research publications in these areas, some of which have elicited a
considerable citation response. Tomás Suk coauthored tutorials
on moment invariants held at international conference ICIP’07
and SPPR’09. Personal webpage href=’http://zoi.utia.cas.cz/suk’>http://zoi.utia.cas.cz/suk.
Barbara Zitová, Ph D, is Head of the Department of
Image Processing at the same Institute. Her research interest is
mainly in image regi8stration, invariants, wavelets, and image
processing applications in cultural heritage. She has authored and
coauthored more that 30 research publications in these areas,
including tutorials at international conferences (ICIP’05,
ICIP’07, EUSIPCO’07, FUSION’08 and
CVPR’08). Her paper ‘Image Registration Methods: A
Survey, ‘ Image and Vision Computing, vol. 21, pp.
977-1000, 2003, has become a major reference work in image
registration . She teaches a specialized graduate course on moment
invariants and wavelets at the Czech Technical University. Personal
webpage href=’http://zoi.utia.cas.cz/zitova’>http://zoi.utia.cas.cz/zitova.