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Two separable approximation methods, Chebyshev approximation and SVD approximation, are described as ways of implementing an orientational filtering operation on a 2D image. They are both suitable for parallel implementation and enable the orientational filter to be performed on an N X N image in O(N2) time with a small amount of hardware. It is shown that these algorithms can be combined with Shensa's algorithm so that a multi- resolution pyramid can be efficiently constructed from orientational filter wavelets. Performance of the algorithms is evaluated by applying them to both Gabor filters and the first derivative of Gaussian filters. A VLSI architecture for orientational filters using the separable approximation is presented.
Toshiro Kubota,C. O. Alford, andM. B. Woods
"Separable approximation methods for orientational filters and VLSI implementations", Proc. SPIE 2252, Optical 3D Measurement Techniques II: Applications in Inspection, Quality Control, and Robotics, (1 March 1994); https://doi.org/10.1117/12.169836
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Toshiro Kubota, C. O. Alford, M. B. Woods, "Separable approximation methods for orientational filters and VLSI implementations," Proc. SPIE 2252, Optical 3D Measurement Techniques II: Applications in Inspection, Quality Control, and Robotics, (1 March 1994); https://doi.org/10.1117/12.169836