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8 October 2007 Improved invariant optical correlations for 3D target detection
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Invariant optical correlation method for 3D target detection is addressed. Tridimensionality is expressed in terms of range images. The recognition model is based on a vector space representation using an orthonormal image basis. The recognition method proposed is based on the calculation of the angle between the vector associated with a certain 3D object and a vector subspace. Scale and rotation invariant 3D target detection are obtained using the phase Fourier transform (PhFT) of the range images. In fact, when the 3D object is scaled, the PhFT becomes a distribution multiplied by a constant factor. On the other hand a rotation of the 3D object around the z axis, implies a shift in the PhFT. So, changes of scale and rotation of 3D objects are replaced by changes of intensity and position of PhFT distributions. We applied intensity invariant correlation methods for recognition. In addition to tolerance to scale and rotation, high discrimination against false targets is also achieved.
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Pascuala García-Martínez, José J. Vallés, Javier García, Carlos Ferreira, and Henri H. Arsenault "Improved invariant optical correlations for 3D target detection", Proc. SPIE 6696, Applications of Digital Image Processing XXX, 66960Q (8 October 2007);

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