Abstract
A new method of normalization is used for the construction of the affine moment invariants. The affine transform is decomposed into translation, scaling, stretching, two rotations and mirror reflection. The object is successively normalized to these elementary transforms by means of low order moments. After normalization, other moments of normalized object can be used as affine invariant features of the original object. We pay special attention to the normalization of symmetric objects.
This work has been supported by the grants No. 201/03/0675 and No. 102/04/0155 of the Grant Agency of the Czech Republic.
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References
Reiss, T.H.: The revised fundamental theorem of moment invariants. IEEE Trans. Pattern Analysis and Machine Intelligence 13, 830–834 (1991)
Flusser, J., Suk, T.: Pattern recognition by affine moment invariants. Pattern Recognition 26(1), 167–174 (1993)
Reiss, T.H.: Recognizing Planar Objects using Invariant Image Features. In: Reiss, T.H. (ed.) Recognizing Planar Objects Using Invariant Image Features. LNCS, vol. 676. Springer, Heidelberg (1993)
Flusser, J., Suk, T.: Graph method for generating affine moment invariants. In: Kittler, J. (ed.) Proceedings of the 17th International Conference on Pattern Recognition, ICPR 2004, pp. 192–195 (2004)
Abu-Mostafa, Y.S., Psaltis, D.: Image normalization by complex moment. IEEE Trans. Pattern Analysis and Machine Intelligence 7, 46–55 (1985)
Rothe, I., Susse, K., Voss, K.: The method of normalization to determine invariants. IEEE Trans. Pattern Analysis and Machine Intelligence 18, 366–376 (1996)
Zhang, Y., Wen, C., Zhang, Y., Soh, Y.C.: On the choice of consistent canonical form during moment normalization. Pattern Recognition Letters 24, 3205–3215 (2003)
Pei, S.C., Lin, C.N.: Image normalization for pattern recognition. Image and Vision Computing 13, 711–723 (1995)
Shen, D., Ip, H.H.S.: Generalized affine invariant image normalization. IEEE Trans. Pattern Analysis and Machine Intelligence 19, 431–440 (1997)
Heikkila, J.: Pattern matching with affine moment descriptors. Pattern Recognition 37, 1825–1834 (2004)
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Suk, T., Flusser, J. (2005). Affine Normalization of Symmetric Objects. In: Blanc-Talon, J., Philips, W., Popescu, D., Scheunders, P. (eds) Advanced Concepts for Intelligent Vision Systems. ACIVS 2005. Lecture Notes in Computer Science, vol 3708. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11558484_13
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DOI: https://doi.org/10.1007/11558484_13
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