Abstract
Moment invariants have been used as feature descriptors in a variety of object recognition applications. When assuming a continuous image function, moments calculated using a double-integral formulation, are invariant to variations in translation, rotation, and size of the object. However, due to the recursive nature of the calculations and the limited speed of microprocessors, the moments were not computable in real-time. In this paper we present real-time invariant moment computations using the ‘Delta Method’, as a means of scene representation.
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M. K. Hu, Pattern Recognition by Moment Invariants, Proc. IRE, 49, September 1961, pp. 1428.
M. K. Hu, Visual Pattern Recognition by Moment Invariants, IRE Trans. Inform. Theory. Vol. IT-8, February 1962, pp. 179–187.
F. A. Sajadi and E. L. Hall, Numerical Computation of Moment Invariants for Scene Analysis, Proceedings of 1978 IEEE Conference on Pattern Recognition and Image Processing, Chicago. IL. 1978, pp. 181–187.
F. A. Sajadi and E. L. Hall, Three-Dimensional Moment Invariants, IEEE Trans. Pattern Analysis and Machine Intelligence 2, No. 2, March 1980, pp. 127–136.
E. Elliot, Algebra of Quantics, Oxford University Press, 1913.
Cho-Huak Teh and Roland T. Chin, On Digital Approximation of Moment Invariants, Proceedings of 1985 IEEE Conference on Pattern Recognition and Image Processing, San Francisco CA. 1985, pp. 640–642.
E. L. Hall and W. Frei. Invariant Features for Quantitative Scene Analysis. Final Rep., Contract F 08606-72-C-0008, Image Process. Inst. Univ. of Southern California, Los Angeles, 1976.
E. L. Hall, R. P. Kruger, S. J. Dwyer, R. W. McLaren and G.S. Lodwick, A Survey of Preprocessing and Feature Extraction Techniques of Radio-graphic Images. IEEE Tran. Comput. 20 No 9 pp. 1032–1044.
E. L. Hall, Computer Image Processing and Recognition. Academic Press,1979.
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© 1988 Plenum Press, New York
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Zakaria, M.F., Vroomen, L.J., Zsombor-Murray, P.J.A., Van Kessel, J.M.H.M. (1988). A Fast Algorithm For Moment Invariants Generation. In: Cantoni, V., Di Gesù, V., Levialdi, S. (eds) Image Analysis and Processing II. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-1007-5_28
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DOI: https://doi.org/10.1007/978-1-4613-1007-5_28
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4612-8289-1
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