Moment Invariants for Object Recognition
Jan Flusser,
Jan Flusser
Institute of Information Theory and Automation of the ASCR, Prague, Czech Republic
Search for more papers by this authorJan Flusser,
Jan Flusser
Institute of Information Theory and Automation of the ASCR, Prague, Czech Republic
Search for more papers by this authorFirst published: 16 March 2015
Abstract
The article reviews various moment invariants (invariants to rotation, scaling, affine transform, and convolution/blurring) that can be used as features for automatic object recognition.
BIBLIOGRAPHY
- 1 D. Hilbert. Theory of Algebraic Invariants. Cambridge University Press, 1993.
- 2 G. B. Gurevich. Foundations of the Theory of Algebraic Invariants. Nordhoff: Groningen, The Netherlands, 1964.
- 3
I. Schur. Vorlesungen uber Invariantentheorie. Springer: Berlin, 1968.
10.1007/978-3-642-95032-2 Google Scholar
- 4 M. K. Hu. Visual Pattern Recognition by Moment Invariants. IRE Trans. Inf. Theory 1962, 8, pp 179–187.
- 5 S. A. Dudani, K. J. Breeding, and R. B. McGhee. Aircraft Identification by Moment Invariants. IEEE Trans. Comput. 1977, 26, pp 39–45.
- 6 S. O. Belkasim, M. Shridhar, and M. Ahmadi. Pattern Recognition with Moment Invariants: A Comparative Study and New Results. Pattern Recognit. 1991, 24, pp 1117–1138.
- 7 R. Y. Wong and E. L. Hall. Scene Matching with Invariant Moments. Comput. Graph. Image Process. 1978, 8, pp 16–24.
- 8 A. Goshtasby. Template Matching in Rotated Images. IEEE Trans. Pattern Anal. Mach. Intell. 1985, 7, pp 338–344.
- 9 J. Flusser and T. Suk. A Moment-Based Approach to Registration of Images with Affine Geometric Distortion. IEEE Trans. Geosci. Remote Sens. 1994, 32, pp 382–387.
- 10 J. Flusser and T. Suk. Affine Moment Invariants: A New Tool for Character Recognition. Pattern Recognit. Lett. 1994, 15(4), pp 433–436.
- 11 S. Maitra. Moment Invariants. Proc. IEEE 1979, 67, pp 697–699.
- 12 T. M. Hupkens and J. de Clippeleir. Noise and Intensity Invariant Moments. Pattern Recognit. 1995, 16, pp 371–376.
- 13 L. Wang and G. Healey. Using Zernike Moments for the Illumination and Geometry Invariant Classification of Multispectral Texture. IEEE Trans. Image Process. 1998, 7, pp 196–203.
- 14 Y. Li. Reforming the Theory of Invariant Moments for Pattern Recognition. Pattern Recognit. 1992, 25, pp 723–730.
- 15 W. H. Wong, W. C. Siu, and K. M. Lam. Generation of Moment Invariants and Their Uses for Character Recognition. Pattern Recognit. Lett. 1995, 16, pp 115–123.
- 16 J. Flusser. On the Independence of Rotation Moment Invariants. Pattern Recognit. 2000, 33, pp 1405–1410.
- 17 J. Flusser. On the Inverse Problem of Rotation Moment Invariants. Pattern Recognit. 2002, 35, pp 3015–3017.
- 18 M. R. Teague. Image Analysis via the General Theory of Moments. J. Opt. Soc. Am. 1980, 70, pp 920–930.
- 19 A. Wallin and O. Kubler. Complete Sets of Complex Zernike Moment Invariants and the Role of the Pseudoinvariants. IEEE Trans. Pattern Anal. Mach. Intell. 1995, 17, pp 1106–1110.
- 20 J. Flusser and T. Suk. Pattern Recognition by Affine Moment Invariants. Pattern Recognit. 1993, 26, pp 167–174.
- 21 T. H. Reiss. The Revised Fundamental Theorem of Moment Invariants. IEEE Trans. Pattern Anal. Mach. Intell. 1991, 13, pp 830–834.
- 22 R. J. Prokop and A. P. Reeves. A Survey of Moment-Based Techniques for Unoccluded Object Representation and Recognition. Comput. Vis. Graph. Image Process. 1992, 54, pp 438–460.
- 23 C. H. Teh and R. T. Chin. On Image Analysis by the Method of Moments. IEEE Trans. Pattern Anal. Mach. Intell. 1988, 10, pp 496–513.
- 24 Y. S. Abu-Mostafa and D. Psaltis. Recognitive Aspects of Moment Invariants. IEEE Trans. Pattern Anal. Mach. Intell. 1984, 6, pp 698–706.
- 25 S. X. Liao and M. Pawlak. On Image Analysis by Moments. IEEE Trans. Pattern Anal. Mach. Intell. 1996, 18, pp 254–266.
- 26 M. Pawlak. On the Reconstruction Aspects of Moment Descriptors. IEEE Trans. Inform. Theory 1992, 38, pp 1698–1708.
- 27 R. R. Bailey and M. Srinath. Orthogonal Moment Features for Use with Parametric and Non-Parametric Classifiers. IEEE Trans. Pattern Anal. Mach. Intell. 1996, 18, pp 389–398.
- 28 Y. S. Abu-Mostafa and D. Psaltis. Image Normalization by Complex Moments. IEEE Trans. Pattern Anal. Mach. Intell. 1985, 7, pp 46–55.
- 29 M. Gruber and K. Y. Hsu. Moment-Based Image Mormalization with High Noise-Tolerance. Pattern Recognit. 1997, 19, pp 136–139.
- 30 T. Suk, C. Hoschl, and J. Flusser. Decomposition of Binary Images: A Survey and Comparison. Pattern Recognit. 2012, 45(12), pp 4279–4291.
- 31 G.A. Papakostas, D.E. Koulouriotis, and E.G. Karakasis. Computation Strategies of Orthogonal Image Moments: A Comparative Study. Appl. Math. Comput. 2010, 216(1), pp 1–17.
- 32 L. van Gool, T. Moons, and D. Ungureanu. Affine/Photometric Invariants for Planar Intensity Patterns. In Proceedings of the 4th European Conference on Computer Vision (ECCV'96), Lecture Notes in Computer Science, vol. 1064; Springer, 1996; pp 642–651.
- 33 F. Mindru, T. Moons, and L. van Gool. Recognizing Color Patterns Irrespective of Viewpoint and Illumination. Proc. IEEE Conf. Comput. Vis. Pattern Recognit. 1999, 1, pp 368–373.
- 34 J. Flusser and T. Suk. Degraded Image Analysis: An Invariant Approach. IEEE Trans. Pattern Anal. Mach. Intell. 1998, 20(6), pp 590–603.
- 35 J. Flusser, T. Suk, and S. Saic. Recognition of Blurred Images by the Method of Moments. IEEE Trans. Image Process. 1996, 5, pp 533–538.
- 36 Y. Zhang, C. Wen, and Y. Zhang. Estimation of Motion Parameters from Blurred Images. Pattern Recognit. Lett. 2000, 21, pp 425–433.
- 37 Y. Zhang, C. Wen, Y. Zhang, and Y. Soh. Determination of Blur and Affine Combined Invariants by Normalization. Pattern Recognit. 2002, 35, pp 211–221.
- 38 J. Lu and Y. Yoshida. Blurred Image Recognition Based on Phase Invariants. IEICE Trans. Fundam. Electron. Commun. Comput. Sci. 1999, E82A, pp 1450–1455.
- 39 Y. Bentoutou, N. Taleb, M. Mezouar, M. Taleb, and L. Jetto. An Invariant Approach for Image Registration in Digital Subtraction Angiography. Pattern Recognit. 2002, 35, pp 2853–2865.
- 40 Y. Zhang, Y. Zhang, and C. Wen. A New Focus Measure Method Using Moments. Image Vis. Comput. 2000, 18, pp 959–965.
- 41 J. Flusser, T. Suk, and S. Saic. Image Features Invariant with Respect to Blur. Pattern Recognit. 1995, 28, pp 1723–1732.
- 42 J. Flusser, T. Suk, and S. Saic. Recognition of Images Degraded by Linear Motion Blur Without Restoration. Comput. Suppl. 1996, 11, pp 37–51.
- 43 A. Stern, I. Kruchakov, E. Yoavi, and S. Kopeika. Recognition of Motion-Blured Images by Use of the Method of Moments. Appl. Opt. 2002, 41, pp 2164–2172.
- 44 J. Flusser and B. Zitová. Combined Invariants to Linear Filtering and Rotation. Int. J. Pattern Recognit. 1999, 13(8), pp 1123–1136.
- 45 T. Suk and J. Flusser. Combined Blur and Affine Moment Invariants and Their Use in Pattern Recognition. Pattern Recognit. 2003, 36, pp 2895–2907.
- 46 J. Flusser, B. Zitová, and T. Suk. Invariant-Based Registration of Rotated and Blurred Images. In IEEE 1999 International Geoscience and Remote Sensing Symposium Proceedings; I. S Tammy. Ed.; IEEE Computer Society: Los Alamitos, June 1999; pp. 1262–1264.
- 47 B. Zitová and J. Flusser. Estimation of Camera Planar Motion from Defocused Images. In Proceedings of the IEEE International Conference on Image Processing (ICIP'02), vol. II; IEEE: Rochester, NY, September 2002; pp 329–332.
- 48
J. Flusser, T. Suk, and B. Zitová. Moments and Moment Invariants in Pattern Recognit. Wiley & Sons, Inc.: New York, 2009.
10.1002/9780470684757 Google Scholar
- 49
G. A. Papakostas. Moments and Moment Invariants: Theory and Applications. Science Gate Publishing, 2014.
10.15579/gcsr.vol1 Google Scholar
- 50 J. Flusser, J. Boldyš, and B. Zitová. Moment Forms Invariant to Rotation and Blur in Arbitrary Number of Dimensions. IEEE Trans. Pattern Anal. Mach. Intell. 2003, 25(2), pp 234–246.
- 51 J. Flusser and T. Suk. Pattern Recognition by Means of Affine Moment Invariants. Technical Report 1726, ÚTIA AV ČR, Praha, 1991.
- 52 L. Van Gool, T. Moons, E. Pauwels, and A. Oosterlinck. Vision and Lie's Approach to Invariance. Image Vis. Comput. 1995, 13, pp 259–277.
- 53 T. Suk and J. Flusser. Projective Moment Invariants. IEEE Trans. Pattern Anal. Mach. Intell. 2004, 26, pp 1364–1367.
- 54 T. Suk and J. Flusser. Affine Moment Invariants Generated by Graph Method. Pattern Recognit. 2011, 44, pp 2047–2056.
- 55 M. I. Sezan and A. M. Tekalp. Survey of Recent Developments in Digital Image Restoration. Opt. Eng. 1990, 29, pp 393–404.
- 56 D. Kundur and D. Hatzinakos. Blind Image Deconvolution. IEEE Signal Process. Mag. 1996, 13(3), pp 43–64.
- 57 B. Zitová and J. Flusser. Image Registration Methods: A Survey. Image Vis. Comput. 2003, 21, pp 977–1000.
- 58 J. Flusser, T. Suk, B. Zitova, and J. Boldys. Projection Operators and Moment Invariants to Image Blurring. IEEE Trans. Pattern Anal. Mach. Intell. 2014, doi:10.1109/ TPAMI.2014.2353644.
- 59 G. A. Papakostas, E. G. Karakasis, and D. E. Koulouriotis. Efficient and Accurate Computation of Geometric Moments on Gray–Scale Images. Pattern Recognit. 2008, 41(6), pp 1895–1904.
Wiley Encyclopedia of Electrical and Electronics Engineering
Browse other articles of this reference work:
