NDLI: Optimizing parametric deformable kernels: space-variant filtering and scaling-rotation invariance

Content Provider	IEEE Xplore Digital Library
Author	Portilla, J. Navarro, R. Tabernero, A.
Copyright Year	1998
Description	Author affiliation: Inst. de Opt., CSIC, Madrid, Spain (Portilla, J.)
Abstract	We propose an efficient method for designing filters adjustable in phase, orientation, scale and bandwidth. In contrast with current design methods, (1) our filters are quadrature-pair (complex), which allows us to estimate the modulus and phase of their responses; and (2) we do not fix the function of the kernel, but determine it by imposing its bandwidth and minimizing the squared error associated with the representation using N generic parametric basis functions. We show that this technique improves the fidelity of the resulting filters (or, alternatively, reduces the number of required convolutions for a given error tolerance) with respect to using non-optimized filters. We apply it to space-variant filtering, scaling-rotation invariant pattern detection and scale-rotation estimation.
Starting Page	513
Ending Page	516
File Size	526679
Page Count	4
File Format	PDF
ISBN	0780350731
DOI	10.1109/TFSA.1998.721474
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1998-10-09
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Kernel Filtering Nonlinear filters Bandwidth Optical filters Parametric statistics Design methodology Computational efficiency Nonlinear optics Phase estimation
Content Type	Text
Resource Type	Article

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