Boundary Treatment for Young-van Vliet Recursive Zero-Mean Gabor Filtering

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Authors

ULMAN Vladimír

Year of publication 2011
Type Article in Periodical
Magazine / Source EURASIP Journal on Advances in Signal Processing
MU Faculty or unit

Faculty of Informatics

Citation
Web doprovodná webová stránka
Doi http://dx.doi.org/10.1155/2011/234090
Field Informatics
Keywords recursive spatial filtering; Gaussian filtering; Gabor filtering; IIR; digital filters
Attached files
Description This paper deals with convolution setting at boundary regions for 1D convolution computed during recursive Gaussian and Gabor filtering as well as staged Gabor filtering computed more efficiently as modulation, recursive Gaussian, and demodulation. These are established fast approximations to their filters. Until recently, all the three applications of recursive filters suffered from distortions near boundary as a result of inappropriate boundary treatment. The extension of input data with constant border value is presumed. We review a recently suggested setting for recursive Gaussian and Gabor filtering. Then, a new convolution setting for the more efficient staged Gabor filtering is presented. We also offer a formula to compute the scale coefficient, using which a zero-mean Gabor filter can be obtained from either recursive or staged Gabor filter.
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