Presentation 2011-03-04
A Novel Design Method of General Weighted Median Filters by the Simulated Annealing
Mitsuhiko MEGURO, Akira TAGUCHI,
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Abstract(in English) A weighted median (WM) filter is an extension of a median filter. WM filters have been recognized as a useful image processing technique due to their edge preserving property and impulse noise attenuation ability. Since the weight values are restricted in positive values, the WM filter is able to realize only a filter with the low-pass like characteristics filter. To solve the restriction of WM filters, a general weighted median (GWM) filter which can have positive and negative valued weighted is proposed. GWM filters can be designed as low-pass/high-pass characteristics filter. Mallows' theory provides that the linear filter whose output is closest in the MSE sense to the output of a WM filter is the finite impulse response whose coefficients are the sample selection probabilities (SSPs) of the filter. The gradient-based design method of GWM filters is already proposed. However, it is impossible to design GWM filters with window size 10 and up. In addition, this design method cannot use a relationship between the filter coefficients. In this paper, a novel design method of GWM filters by the simulated annealing (SA) is proposed. In the proposed method, the number of parameters can be reduced if there is a constraint between coefficients. Thus, we can design the filter with 5x5 window whose frequency response is circular symmetry, such as the Laplacian of Gaussian filter.
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Keyword(in English) general weighted median filters / design method / simulated annealing
Paper # SIS2010-71
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Committee SIS
Conference Date 2011/2/24(1days)
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Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) A Novel Design Method of General Weighted Median Filters by the Simulated Annealing
Sub Title (in English)
Keyword(1) general weighted median filters
Keyword(2) design method
Keyword(3) simulated annealing
1st Author's Name Mitsuhiko MEGURO
1st Author's Affiliation College of Industrial Technology, Nihon University()
2nd Author's Name Akira TAGUCHI
2nd Author's Affiliation Department of Biomedical Engineering, Tokyo City University
Date 2011-03-04
Paper # SIS2010-71
Volume (vol) vol.110
Number (no) 445
Page pp.pp.-
#Pages 6
Date of Issue