Abstract
A novel approach to impulsive noise detection in color images is introduced. The neighborhood of a central pixel using a fuzzy metric is considered for the fast detection of noisy pixels using a peer group concept. Then, a filter based on a switching scheme between the Arithmetic Mean Filter (AMF) and the identity operation is proposed. The proposed filter reaches a very good balance between noise suppression and detail-preserving outperforming significantly the classical vector filters. The presented approach is faster than recently introduced switching filters based on similar concepts showing a competitive performance.
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References
Allende, H., Galbiati, J.: A non-parametric filter for image restoration using cluster analysis. Pattern Recognition Letters 25(8), 841–847 (2004)
Astola, J., Haavisto, P., Neuvo, Y.: Vector Median Filters. Proc. IEEE 78(4), 678–689 (1990)
Camacho, J., Morillas, S., Latorre, P.: Efficient impulsive noise suppression based on statistical confidence limits. Journal of Imaging Science and Technology (to appear)
Deng, Y., Kenney, C., Moore, M.S., Manjunath, B.S.: Peer group filtering and perceptutal color image quantization. In: Proceedings of IEEE international symposium on circuits and systems, vol. 4, pp. 21–24 (1999)
George, A., Veeramani, P.: On Some results in fuzzy metric spaces. Fuzzy Sets and Systems 64(3), 395–399 (1994)
George, A., Veeramani, P.: Some theorems in fuzzy metric spaces. J. Fuzzy Math. 3, 933–940 (1995)
Gregori, V., Romaguera, S.: Some properties of fuzzy metric spaces. Fuzzy Sets and Systems 115(3), 477–483 (2000)
Gregori, V., Romaguera, S.: Characterizing completable fuzzy metric spaces. Fuzzy Sets and Systems 144(3), 411–420 (2004)
Karakos, D.G., Trahanias, P.E.: Generalized multichannel image-filtering structure. IEEE Transactions on Image Processing 6(7), 1038–1045 (1997)
Kenney, C., Deng, Y., Manjunath, B.S., Hewer, G.: Peer group image enhancement. IEEE Transactions on Image Processing 10(2), 326–334 (2001)
Lukac, R.: Adaptive vector median filtering. Pattern Recognition Letters 24(12), 1889–1899 (2003)
Lukac, R., Smolka, B., Martin, K., Plataniotis, K.N., Venetsanopoulos, A.N.: Vector Filtering for Color Imaging. IEEE Signal Processing Magazine, Special Issue on Color Image Processing 22(1), 74–86 (2005)
Lukac, R.: Adaptive Color Image Filtering Based on Center Weighted Vector Directional Filters. Multidimensional Systems and Signal Processing 15, 169–196 (2004)
Lukac, R., Plataniotis, K.N., Venetsanopoulos, A.N., Smolka, B.: A Statistically-Switched Adaptive Vector Median Filter. Journal of Intelligent and Robotic Systems 42, 361–391 (2005)
Lukac, R., Smolka, B., Plataniotis, K.N., Venetsanopoulos, A.N.: Vector sigma filters for noise detection and removal in color images. Journal of Visual Communication and Image Representation 17(1), 1–26 (2006)
Ma, Z., Feng, D., Wu, H.R.: A neighborhood evaluated adaptive vector filter for suppression of impulsive noise in color images. Real-Time Imaging 11, 403–416 (2005)
Morillas, S., Gregori, V., Peris-Fajarnés, G., Latorre, P.: A new vector median filter based on fuzzy metrics. In: Kamel, M., Campilho, A.C. (eds.) ICIAR 2005. LNCS, vol. 3656, pp. 81–90. Springer, Heidelberg (2005)
Morillas, S., Gregori, V., Peris-Fajarnés, G., Latorre, P.: A fast impulsive noise color image filter using fuzzy metrics. Real-Time Imaging 11(5-6), 417–428 (2005)
Plataniotis, K.N., Venetsanopoulos, A.N.: Color Image processing and applications. Springer, Berlin (2000)
Sapena, A.: A contribution to the study of fuzzy metric spaces. Appl. Gen. Topology 2(1), 63–76 (2001)
Smolka, B., Lukac, R., Chydzinski, A., Plataniotis, K.N., Wojciechowski, W.: Fast adaptive similarity based impulsive noise reduction filter. Real-Time Imaging 9(4), 261–276 (2003)
Smolka, B., Plataniotis, K.N., Chydzinski, A., Szczepanski, M., Venetsanopoulos, A.N., Wojciechowski, K.: Self-adaptive algorithm of impulsive noise reduction in color images. Pattern Recognition 35(8), 1771–1784 (2002)
Smolka, B., Chydzinski, A.: Fast detection and impulsive noise removal in color images. Real-Time Imaging 11, 389–402 (2005)
Smolka, B., Plataniotis, K.N.: Ultrafast technique of impulsive noise removal with application to microarray image denoising. In: Kamel, M., Campilho, A.C. (eds.) ICIAR 2005. LNCS, vol. 3656, pp. 990–997. Springer, Heidelberg (2005)
Trahanias, P.E., Karakos, D., Venetsanopoulos, A.N.: Directional processing of color images: theory and experimental results. IEEE Trans. Image Process. 5(6), 868–880 (1996)
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Camarena, JG., Gregori, V., Morillas, S., Peris-Fajarnés, G. (2006). New Method for Fast Detection and Removal of Impulsive Noise Using Fuzzy Metrics. In: Campilho, A., Kamel, M.S. (eds) Image Analysis and Recognition. ICIAR 2006. Lecture Notes in Computer Science, vol 4141. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11867586_34
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DOI: https://doi.org/10.1007/11867586_34
Publisher Name: Springer, Berlin, Heidelberg
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