Adaptive Color Image Filtering Based on Center-Weighted Vector Directional Filters

This paper presents a new filtering approach for impulsive noise removal in color images. Incorporating the nonnegative integer weight corresponding to the central sample into the structure of the basic vector directional filter (BVDF), the proposed framework constitutes a class of center-weighted vector directional filters (CWVDF). It can be easily observed that the CWVDF filters are computationally efficient and extend design flexibility of the standard BVDF scheme. By varying the center weight, the proposed CWVDF framework can provide the smoothing characteristics ranging from an identity operation to that of the BVDF. Therefore, design characteristics relate to the CWVDF, which removes impulses and outliers from the image while simultaneously preserving the structural information. To adaptively determine the optimal value of the center weight, two adaptive approaches based on the angular thresholds are provided. Both techniques achieve excellent results in terms of the commonly used objective image quality criteria and significantly outperform standard multichannel filtering algorithms.

[1]  Moncef Gabbouj,et al.  Weighted median filters: a tutorial , 1996 .

[2]  Zhou Wang,et al.  Progressive switching median filter for the removal of impulse noise from highly corrupted images , 1999 .

[3]  H. Wu,et al.  Adaptive impulse detection using center-weighted median filters , 2001, IEEE Signal Processing Letters.

[4]  Bogdan Smolka Adaptive modification of the vector median filter , 2002 .

[5]  Azeddine Beghdadi,et al.  A noise-filtering method using a local information measure , 1997, IEEE Trans. Image Process..

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

[7]  Anastasios N. Venetsanopoulos,et al.  Nearest-neighbour multichannel filter , 1995 .

[8]  Andrzej Chydzinski,et al.  On the reduction of impulsive noise in multichannel image processing , 2001 .

[9]  Panos E. Trahanias,et al.  Vector directional filters-a new class of multichannel image processing filters , 1993, IEEE Trans. Image Process..

[10]  Sos S. Agaian,et al.  New digit-serial implementations of stack filters , 1997, Signal Process..

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

[12]  A. Venetsanopoulos,et al.  Order statistics in digital image processing , 1992, Proc. IEEE.

[13]  J. Astola,et al.  Fundamentals of Nonlinear Digital Filtering , 1997 .

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

[15]  Kai-Kuang Ma,et al.  Noise adaptive soft-switching median filter , 2001, IEEE Trans. Image Process..

[16]  Yong Hoon Lee,et al.  Stack filters and selection probabilities , 1994, IEEE Trans. Signal Process..

[17]  Rey-Sern Lin,et al.  Multichannel filtering by gradient information , 2000, Signal Process..

[18]  Konstantinos N. Plataniotis,et al.  On the geodesic paths approach to color image filtering , 2003, Signal Process..

[19]  Rastislav Lukac Adaptive Impulse Noise Filtering by Using Center-Weighted Directional Information , 2002, CGIV.

[20]  Yrjö Neuvo,et al.  Three-dimensional median-related filters for color image sequence filtering , 1994, IEEE Trans. Circuits Syst. Video Technol..

[21]  Rastislav Lukac,et al.  Selection weighted vector directional filters , 2004, Comput. Vis. Image Underst..

[22]  S. Kalli,et al.  Color video signal processing with median filters , 1992 .

[23]  Jaakko Astola,et al.  Nonlinear multivariate image filtering techniques , 1995, IEEE Trans. Image Process..

[24]  Ioannis Pitas,et al.  Nonlinear Digital Filters - Principles and Applications , 1990, The Springer International Series in Engineering and Computer Science.

[25]  Rastislav Lukac,et al.  LUM Smoother with Smooth Control for Noisy Image Sequences , 2001, EURASIP J. Adv. Signal Process..

[26]  Kai-Kuang Ma,et al.  Tri-state median filter for image denoising , 1999, IEEE Trans. Image Process..

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

[28]  Yoshinobu Kajikawa,et al.  Directional difference‐based switching median filters , 2002 .

[29]  Konstantinos N. Plataniotis,et al.  Fuzzy adaptive filters for multichannel image processing , 1996, Signal Process..

[30]  K. S. Tang,et al.  Genetic Algorithms: Concepts and Designs with Disk , 1999 .

[31]  Russell C. Hardie,et al.  LUM filters: a class of rank-order-based filters for smoothing and sharpening , 1993, IEEE Trans. Signal Process..

[32]  Moncef Gabbouj,et al.  Adaptive fuzzy order statistics-rational hybrid filters for color image processing , 2002, Fuzzy Sets Syst..

[33]  David E. Goldberg,et al.  Genetic Algorithms in Search Optimization and Machine Learning , 1988 .

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

[35]  Ioannis Pitas,et al.  Multivariate ordering in color image filtering , 1991, IEEE Trans. Circuits Syst. Video Technol..

[36]  K. Chen Bit-serial realizations of a class of nonlinear filters based on positive Boolean functions , 1989 .

[37]  Rastislav Lukac,et al.  Generalized adaptive vector sigma filters , 2003, 2003 International Conference on Multimedia and Expo. ICME '03. Proceedings (Cat. No.03TH8698).

[38]  N. Gallagher,et al.  An overview of median and stack filtering , 1992 .

[39]  Laurent Lucat,et al.  Adaptive and global optimization methods for weighted vector median filters , 2002, Signal Process. Image Commun..

[40]  Jong-Sen Lee,et al.  Digital image smoothing and the sigma filter , 1983, Comput. Vis. Graph. Image Process..

[41]  Kimon P. Valavanis,et al.  Noise removal from color images , 1993, J. Intell. Robotic Syst..

[42]  Shuqun Zhang,et al.  A new impulse detector for switching median filters , 2002, IEEE Signal Processing Letters.

[43]  Jaehyun Park,et al.  Image enhancement using the modified ICM method , 1996, IEEE Trans. Image Process..

[44]  Anastasios N. Venetsanopoulos,et al.  Color image processing using adaptive vector directional filters , 1998 .

[45]  R. Lukac,et al.  Boolean expression of LUM smoothers , 2001, IEEE Signal Processing Letters.

[46]  Rastislav Lukac,et al.  Optimised directional distance filter , 2002 .

[47]  R. Lukac Binary LUM smoothing , 2002, IEEE Signal Processing Letters.

[48]  Ioannis Pitas,et al.  Digital Image Processing Algorithms and Applications , 2000 .

[49]  Panos E. Trahanias,et al.  Generalized multichannel image-filtering structures , 1997, IEEE Trans. Image Process..

[50]  Sanjit K. Mitra,et al.  Nonlinear image processing , 2000 .

[51]  Stephen J. Sangwine,et al.  Selective vector median filtering of colour images , 1997 .

[52]  Moncef Gabbouj,et al.  Vector Median - Vector Directional Hybrid Filter for Color Image Restoration , 1995 .

[53]  Gonzalo R. Arce,et al.  Multistage order statistic filters for image sequence processing , 1991, IEEE Trans. Signal Process..

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

[55]  R. Bernstein Adaptive nonlinear filters for simultaneous removal of different kinds of noise in images , 1987 .

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

[57]  B. Smolka,et al.  On the modified weighted vector median filter , 2002, 2002 14th International Conference on Digital Signal Processing Proceedings. DSP 2002 (Cat. No.02TH8628).