New adaptive vector filter using fuzzy metrics

Classical nonlinear vector median-based filters are well-known methods for impulsive noise suppression in color images, but mostly they lack good detail-preserving ability. We use a class of fuzzy metrics to introduce a vector filter aimed at improving the detail-preserving ability of classical vector filters while effectively removing impulsive noise. The output of the proposed method is the pixel inside the filter window which maximizes the similarity in color and spatial closeness. The use of fuzzy metrics allows us to handle both criteria simultaneously. The filter is designed so that the importance of the spatial criterion can be adjusted. We show that the filter can adapt to the density of the contaminating noise by adjusting the spatial criterion importance. Classical and recent filters are used to assess the proposed filtering. The experimental results show that the proposed technique performs competitively.

[1]  Rastislav Lukac,et al.  Adaptive vector median filtering , 2003, Pattern Recognit. Lett..

[2]  K. Plataniotis,et al.  Color Image Processing and Applications , 2000 .

[3]  Hong Ren Wu,et al.  A robust structure-adaptive hybrid vector filter for color image restoration , 2005, IEEE Transactions on Image Processing.

[4]  Almanzor Sapena Piera,et al.  A contribution to the study of fuzzy metric spaces , 2001 .

[5]  Konstantinos N. Plataniotis,et al.  Adaptive fuzzy systems for multichannel signal processing , 1999, Proc. IEEE.

[6]  Panos E. Trahanias,et al.  Directional processing of color images: theory and experimental results , 1996, IEEE Trans. Image Process..

[7]  Raymond H. Chan,et al.  Salt-and-pepper noise removal by median-type noise detectors and detail-preserving regularization , 2005, IEEE Transactions on Image Processing.

[8]  Roberto Manduchi,et al.  Bilateral filtering for gray and color images , 1998, Sixth International Conference on Computer Vision (IEEE Cat. No.98CH36271).

[9]  Mauro Barni,et al.  A quasi-Euclidean norm to speed up vector median filtering , 2000, IEEE Trans. Image Process..

[10]  A. Venetsanopoulos,et al.  A multichannel order-statistic technique for cDNA microarray image processing , 2004, IEEE Transactions on NanoBioscience.

[11]  Héctor Allende,et al.  A non-parametric filter for digital image restoration, using cluster analysis , 2004, Pattern Recognit. Lett..

[12]  Andrzej Chydzinski,et al.  Fast detection and impulsive noise removal in color images , 2005, Real Time Imaging.

[13]  Rastislav Lukac,et al.  cDNA microarray image segmentation using root signals , 2006, Int. J. Imaging Syst. Technol..

[14]  Rastislav Lukac,et al.  cDNA microarray image processing using fuzzy vector filtering framework , 2005, Fuzzy Sets Syst..

[15]  Dehua Li,et al.  An Efficient Color-Impulse Detector and its Application to Color Images , 2007, IEEE Signal Processing Letters.

[16]  Samuel Morillas,et al.  Efficient impulsive noise suppression based on statistical confidence limits , 2006 .

[17]  Francisco J. Gallegos-Funes,et al.  Real-time color imaging based on RM-filters for impulsive noise reduction , 2005 .

[18]  Hong Ren Wu,et al.  Improved vector filtering for color images using fuzzy noise detection , 2003 .

[19]  Valentín Gregory,et al.  Some properites of fuzzy metric spaces , 2000 .

[20]  Samuel Morillas,et al.  A fast impulsive noise color image filter using fuzzy metrics , 2005, Real Time Imaging.

[21]  Ioannis Pitas,et al.  Fuzzy scalar and vector median filters based on fuzzy distances , 1999, IEEE Trans. Image Process..

[22]  Naif Alajlan,et al.  Detail preserving impulsive noise removal , 2004, Signal Process. Image Commun..

[23]  K. Martin,et al.  Vector filtering for color imaging , 2005, IEEE Signal Processing Magazine.

[24]  Rastislav Lukac,et al.  Vector sigma filters for noise detection and removal in color images , 2006, J. Vis. Commun. Image Represent..

[25]  Konstantinos N. Plataniotis,et al.  On the distance function approach to color image enhancement , 2004, Discret. Appl. Math..

[26]  Ioannis Andreadis,et al.  A new vector median filter for colour image processing , 2001, Pattern Recognit. Lett..

[27]  J. Astola,et al.  Vector median filters , 1990, Proc. IEEE.

[28]  Sanjit K. Mitra,et al.  A new class of chromatic filters for color image processing. theory and applications , 2004, IEEE Transactions on Image Processing.

[29]  Charles K. Chui,et al.  A universal noise removal algorithm with an impulse detector , 2005, IEEE Transactions on Image Processing.

[30]  Valentín Gregori,et al.  Fixed point theorems for fuzzy mappings in quasi-metric spaces , 2000, Fuzzy Sets Syst..

[31]  A. George,et al.  On some results in fuzzy metric spaces , 1994 .

[32]  David Dagan Feng,et al.  Partition-based vector filtering technique for suppression of noise in digital color images , 2006, IEEE Transactions on Image Processing.

[33]  Valentín Gregori,et al.  Characterizing completable fuzzy metric spaces , 2004, Fuzzy Sets Syst..

[34]  Kenneth E. Barner,et al.  Polynomial weighted median filtering , 2006, IEEE Trans. Signal Process..

[35]  Etienne E. Kerre,et al.  Fuzzy Two-Step Filter for Impulse Noise Reduction From Color Images , 2006, IEEE Transactions on Image Processing.

[36]  Pao-Ta Yu,et al.  Genetic-based fuzzy hybrid multichannel filters for color image restoration , 2000, Fuzzy Sets Syst..

[37]  Konstantinos N. Plataniotis,et al.  Self-adaptive algorithm of impulsive noise reduction in color images , 2002, Pattern Recognit..

[38]  Gonzalo R. Arce,et al.  Weighted Median Filters for Multichannel Signals , 2005, IEEE Transactions on Signal Processing.

[39]  David Dagan Feng,et al.  A neighborhood evaluated adaptive vector filter for suppression of impulse noise in color images , 2005, Real Time Imaging.

[40]  Konstantinos N. Plataniotis,et al.  Multichannel filters for image processing , 1997, Signal Process. Image Commun..

[41]  Yuzhong Shen,et al.  Fuzzy vector median-based surface smoothing , 2004, IEEE Transactions on Visualization and Computer Graphics.

[42]  Rastislav Lukac,et al.  A Taxonomy of Color Image Filtering and Enhancement Solutions , 2006 .

[43]  Xudong Jiang,et al.  Image detail-preserving filter for impulsive noise attenuation , 2003 .

[44]  Kaoru Arakawa,et al.  Median filter based on fuzzy rules and its application to image restoration , 1996, Fuzzy Sets Syst..

[45]  Rastislav Lukac,et al.  Generalized Selection Weighted Vector Filters , 2004, EURASIP J. Adv. Signal Process..

[46]  Rastislav Lukac,et al.  A Statistically-Switched Adaptive Vector Median Filter , 2005, J. Intell. Robotic Syst..