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Advanced In-Plane Rotation-Invariant Correlation Filters
April 1994 (vol. 16 no. 4)
pp. 415-420

Advanced correlation filter synthesis algorithms to achieve rotation invariance are described. We use a specified form for the filter as the rotation invariance constraint and derive a general closed-form solution for a multiclass rotation-invariant filter that can recognize a number of different objects. By requiring the filter to minimize the average correlation plane energy, we produce a multiclass rotation invariant (RI) RI-MACE filter, which controls correlation plane sidelobes and improves discrimination against false targets. To improve noise performance, we require the filter to minimize a weighted sum of correlation plane signal and noise energy. Initial test results of all filters are provided.

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Index Terms:
filtering and prediction theory; invariance; correlation methods; image recognition; correlation filters; rotation invariance; closed form solution; multiclass rotation-invariant filter; average correlation plane energy; RI-MACE filter; noise energy; correlation plane signal; pattern recognition
G. Ravichandran, D. Casasent, "Advanced In-Plane Rotation-Invariant Correlation Filters," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 16, no. 4, pp. 415-420, April 1994, doi:10.1109/34.277595
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