Directional Image Filtering Based on the Fourier Transform

An algorithm to design the small size 2-D filter masks with arbitrarily selected rotation angle has been proposed. The classical filter mask of size 3 × 3 is obtained from the reference Fourier space characteristics, rotated in the Fourier domain. The efficiency of the suggested method was illustrat...

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Bibliographic Details
Published in:Image processing & communications (Versita) 2014-09, Vol.19 (2), p.7-13
Main Authors: Korohoda, Przemysław, Grabska-Chrząstowska, Joanna, Przybyło, Jaromir
Format: Article
Language:English
Online Access:Get full text
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Description
Summary:An algorithm to design the small size 2-D filter masks with arbitrarily selected rotation angle has been proposed. The classical filter mask of size 3 × 3 is obtained from the reference Fourier space characteristics, rotated in the Fourier domain. The efficiency of the suggested method was illustrated with examples based on the Sobel gradient mask and two test images. Comparative computations indicated that the accuracy of the filtering result with use of the small size filters is noticeably better when the filter has been designed with use of the Fourier characteristics rotation than after direct rotation of the mask in the pixel domain.
ISSN:2300-8709
1425-140X
2300-8709
DOI:10.1515/ipc-2015-0005