Abstract
Automatic recognition of objects independent of size, orientation, position in the field of view, and color is a difficult and important problem in computer vision, image analysis, and automatic target recognition fields. A direct approach to this problem is by use of a large library of target signatures at all potential positions, viewing angles, spectral bands, and contrast conditions that can lead to a combinatorial explosion of models to be considered. Another approach is by development of composite template filters by means of which potential viewing instances of a target under differing size, orientation, spectral, and contrast variations are used to create a single composite template filter that is then used for detection and classification of that target.
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References
G. B. Gurevich. Fundamentals of the Theory of Algebraic Invariants. Noordhoff Ltd, Groningen, The Netherlands, 1964.
F. A. Sadjadi and E. Hall. Three-dimensional moment invariants. IEEE Trans. Pattern Anal. Mach. Intell., 2:127–136, 1980.
A. Papoulis. Probability, Random Variables, and Stochastic Processes. McGraw-Hill, New York, 1965.
G. Salmon. Lessons Introductory to the Modern Higher Algebra. Dodges, Foster and Co., Dublin, Ireland, 1876.
E. B. Elliott. An Introduction to the Algebra of Quantics. Oxford University Press, Oxford, 1913.
F. A. Sadjadi and E. L. Hall. Numerical computations of moment invariants for scene analysis. In Proceedings of the IEEE Conference on Pattern Recognition and Image Processing, 1978.
F. A. Sadjadi. Invariant algebra and the fusion of multi-spectral information. Infor. Fusion J., 3(1):39–50, 2002.
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Sadjadi, F. (2007). Theory of Invariant Algebra and Its Use in Automatic Target Recognition. In: Sadjadi, F., Javidi, B. (eds) Physics of Automatic Target Recognition. Advanced Sciences and Technologies for Security Applications, vol 3. Springer, New York, NY. https://doi.org/10.1007/978-0-387-36943-3_2
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DOI: https://doi.org/10.1007/978-0-387-36943-3_2
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-36742-2
Online ISBN: 978-0-387-36943-3
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