Abstract
A new kind of rotation moment invariants suitable for recognition of symmetric objects is presented. They are composed of complex moments of the image and their invariance to rotation is achieved by multiplicative phase cancellation. Unlike earlier moment invariants they explicitly consider the degree of symmetry of the objects. Thanks to this, they do not vanish on symmetric objects and are able to recognize them.
This work has been supported by the grant No. 201/03/0675 of the Grant Agency of the Czech Republic.
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References
Hu, M.K.: Visual pattern recognition by moment invariants. IRE Trans. Information Theory 8, 179–187 (1962)
Flusser, J., Suk, T.: Pattern recognition by affine moment invariants. Pattern Recognition 26(1), 167–174 (1993)
Teh, C.H., Chin, R.T.: On image analysis by the method of moments. IEEE Trans. Pattern Analysis and Machine Intelligence 10, 496–513 (1988)
Abu-Mostafa, Y.S., Psaltis, D.: Recognitive aspects of moment invariants. IEEE Trans. Pattern Analysis and Machine Intelligence 6, 698–706 (1984)
Flusser, J.: On the independence of rotation moment invariants. Pattern Recognition 33, 1405–1410 (2000)
Flusser, J.: On the inverse problem of rotation moment invariants. Pattern Recognition 35, 3015–3017 (2002)
Lin, J.C., Tsai, W.H., Chen, J.A.: Detecting number of folds by a simple mathematical property. Pattern Recognition Letters 15, 1081–1088 (1994)
Lin, J.C.: A simplified fold number detector for shapes with monotonic radii. Pattern Recognition 29, 997–1005 (1996)
Shen, D., Ip, H.H.S.: Symmetry detection by generalized complex (GC) moments: A close-form solution. IEEE Trans. Pattern Analysis and Machine Intelligence 21, 466–476 (1999)
Jain, A.K., Vailaya, A.: Shape-based retrieval: A case study with trademark image databases. Pattern Recognition 31, 1369–1390 (1998)
Jelen, K., Kušová, S.: Pregnant women: Moire contourgraph and its semiautomatic and automatic evaluation. Neuroendocrinology Letters 25, 52–56 (2004)
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© 2005 Springer-Verlag Berlin Heidelberg
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Flusser, J., Suk, T. (2005). Moment Invariants for Recognizing Symmetric Objects. In: Gagalowicz, A., Philips, W. (eds) Computer Analysis of Images and Patterns. CAIP 2005. Lecture Notes in Computer Science, vol 3691. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11556121_2
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DOI: https://doi.org/10.1007/11556121_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-28969-2
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