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2014 | Vol. 19, no. 2-3 | 7--13
Tytuł artykułu

Directional Image Filtering Based on the Fourier Transform

Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
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.
Wydawca

Rocznik
Strony
7--13
Opis fizyczny
Bibliogr. 15 poz., rys.
Twórcy
autor
  • AGH University of Science and Technology, Faculty of Computing Science, Electronics and Telecommunications, Department of Electronics, Al. Mickiewicza 30, 30-059 Krakow, Polan, korohoda@agh.edu.pl
  • asior@agh.edu.pl
  • AGH University of Science and Technology, Faculty of Electrical Engineering, Automatics, Computer Science and Biomedical Engineering, Department of Automatics and Bioengineering, Al. Mickiewicza 30, 30-059 Krakow, Poland
  • jaromir@agh.edu.pl
  • AGH University of Science and Technology, Faculty of Electrical Engineering, Automatics, Computer Science and Biomedical Engineering, Department of Automatics and Bioengineering, Al. Mickiewicza 30, 30-059 Krakow, Poland
Bibliografia
  • [1] (2014). Matlab, version 13, mathworks, www.mathworks.com
  • [2] Bamberger, R.H., Smith, M.J.T. (1992). A filter bank for the directional decomposition of images. Theory and Design. IEEE Transactions on Signal Processing, 40(4), 882-893
  • [3] Bankman I.N.(ed.) (2009). Handbook of Medical Image Processing and Analysis, 2nd Ed. Elsevier, Amsterdam
  • [4] Gonzalez, R.C., Woods, R.E. (2007). Digital Image Processing. 3rd Ed. Prentice Hall, Upper Saddle River - New Jersey
  • [5] Himabindu, B. (2012) Image interpolation algorithm for edge detection using directional filters and data fusion. International Journal Of Computational Engineering Research, 2(5), 1699-1707
  • [6] Khan, M.A.U., Khan, M.K., Khan, .M.A. (2004) Coronary angiogram image enhancement using decimation-free directional filter banks. In Proceeding of the IEEE Conference on Acoustics, Speech, and Signal Processing (ICASSP), 5, 441-444
  • [7] Lu, Y., Do, M.N. (2007). Multidimensional directional filter banks and surfacelets. IEEE Transactions on Image Processing, 16(4), 918-931
  • [8] Lukac, R., Smolka, B., Plataniotis, K.N., Venetsanopoulos, A.N. (2004) Selection weighted vector directional filters. Computer Vision and Image Understanding, 94, 140-167
  • [9] Mitra, K.S. (1998) Digital signal processing. A computer based approach. McGraw Hill, New York
  • [10] Sankowski, D., Mosorow, W., Strzecha, K. (2011). Przetwarzanie i analiza obrazów w systemach przemysłowych. Wybrane zastosowania. (In Polish). PWN, Warszawa
  • [11] Sherlock, B.G., Monro, D.M., Millard, K. (1994). Fingerprint enhancement by directional fourier fiitering. In Proceedings of the IEEE Conference on Vision Image and Signal Processing, 141(2), 87-94
  • [12] Szczepaniak, P.S., Tadeusiewicz, R. (2010). The role of artificial intelligence, knowledge and wisdom in automatic image understanding. Journal of Applied Computer Science 18(1), 75-85
  • [13] Tadeusiewicz, R., Korohoda, P. (1997). Komputerowa analiza i przetwarzanie obrazów. (In Polish). Wydawnictwo Post˛epu Telekomunikacji, Kraków
  • [14] Zhong, L., Cho, S., Metaxas, D., Paris, S., Wang, J. (2013). Handling noise in single image deblurring using directional filters. In Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition (CVPR), Oregon, USA, 612-619
  • [15] Zieliński, T.P., Korohoda, P., Rumian, R. (editors) (2014). Cyfrowe przetwarzanie sygnałów w telekomunikacji. Podstawy, Multimedia, Transmisja. (In Polish). PWN Warszawa
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Bibliografia
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