Abstract
A new normalization factor is given. Its application produces a normalized image with regard to intensity variations and scale changes. Further, in the same operation the dynamic range of the moment vector is reduced, such that higher order moments can be used without recourse to logarithmic representation.
The complex moments descriptors provides a complete set of invariants without any considerable calculation for rotational changes. This is achieved by using the phase of a reference component (C21, C32, ...) to cancel the effect of rotational angle variations by simple relation.
The simulation results presented demonstrate the efficiency of both the proposed normalization factor and the complex moment descriptor.
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References
M.R. TEAGUE, "Optical Calculation of Irradiance Moments", Applied Optics, vol. 19, No. 8, 1980, pp. 1353:1356.
M.R. TEAGUE, "Image Analysis via the General Theory of Moments", J. opt. Soc. Am., vol. 70, no. 8, 1980, pp.920:930.
Y.N. HSU, "Rotation Invariant Discrimination Between Almost Similar Objects", Applied Optics, vol. 22, No. 1, 1983, pp. 130:132.
P. REEVES, "Shape Analysis of Segmented Objects Using Moments", Proceeding IEEE Computer Society Conf. on Pattern Recognition and Image Processing, August 1981, pp. 171:176.
S.A. DUDANI & GHEE, "Aircraft Identification by Moment Invariant", IEEE, T. Computer, C-26, 1977, pp. 39:45.
S.S. REDDI, "Radial and Angular Moment Invariant for Image Identification", IEEE, PAMI-3, No. 2, 1981, pp. 240:242.
C. TEH, "On Digital Approximation of Moments Invariants", Computer Graphics and Image Processing, 33, 1986, pp. 318:326.
HOSSACK, "Moment Invariant for Pattern Recognition", Pattern Recognition Letters, 1, 1983, pp. 451:456.
N. DROVNYCHENKO, "Upsilon Invariants: A Uniform Set of Moment Invariants", SPIE, vol. 504, 1984, pp. 40:44.
ABO-MOSTFA, "Recognitive Aspects of Moments Invariants", IEEE, PAMI-6, No. 6, 1984, pp. 698:706.
S. MAITRA, "Moment Invariants", Proceeding of IEEE, vol. 67, No. 4, 1979, pp. 697:699.
ABO-MOSTFA, "Image Normalization by Complex Moments", IEEE, PAMI-7, No. 1, 1985, pp. 45:55.
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© 1988 Springer-Verlag Berlin Heidelberg
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Abo-Zaid, A., Hinton, O.R., Horne, E. (1988). About moment normalization and complex moment descriptors. In: Kittler, J. (eds) Pattern Recognition. PAR 1988. Lecture Notes in Computer Science, vol 301. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-19036-8_40
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DOI: https://doi.org/10.1007/3-540-19036-8_40
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