Abstract
A region-based fuzzy shock filter with anisotropic diffusion is presented for image noise removal and edge sharpening. An image is divided into three-type different regions according to image features. For different regions, a binary shock-type backward diffusion or a fuzzy backward diffusion is performed in the gradient direction to the isophote line, incorporating a forward diffusion in the tangent direction. Gaussian smoothing to the second normal derivative results in a robust process against noise. Experiments on real images show that this method produces better visual results of the enhanced images than some related equations.
This work is supported by the national natural science fund, China (No. 60472033), the Key Laboratory Project of Information Science & Engineering of Railway of National Ministry of Railways, China (No. TDXX0510), and the Technological Innovation Fund of Excellent Doctorial Candidate of Beijing Jiaotong University, China (No. 48007).
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References
Castleman, K.R. (ed.): Digital Image Processing, Prentice Hall, (1995)
Hamid, R.T.: Fuzzy Image Processing: Introduction in Theory and Applications. Springer-Verlag, (1997)
Aubert, G., Kornprobst, P.: Mathematical Problems in Image Processing: Partial Differential Equations and the Calculus of Variations. Springer-Verlag, Applied Mathematical Sciences, Vol.147 (2001) 125–164
Perona, P., Malik, J.: Scale-space and Edge Detection Using Anisotropic Diffusion. IEEE Trans. Pattern Anal. Machine Intell, Vol.12 (1990) 629–639
Nitzberg, M., Shiota, T.: Nonlinear Image Filtering with Edge and Corner Enhancement. IEEE Transactions on PAMI, Vol.14 (1992) 826–833
You, Y.L., Xu, W., Tannenbaum, A., Kaveh, M.: Behavioral Analysis of Anisotropic Diffusion in Image Processing, IEEE Transactions on Image Processing. Vol.5 (1996) 1539–1553
Alvarez, L. Mazorra, L.: Signal and Image Restoration Using Shock Filters and Anisotropic Diffusion. SIAM J. Numer. Anal. Vol.31 (1994) 590–605
Osher, S.J., Rudin, L.I.: Feature-oriented image enhancement using shock filters. SIAM J. Numer. Anal., 27 (1990) 919–940.
Kornprobst, P., Deriche, R., Aubert, G.: Image coupling, restoration and enhancement via PDE’s. IEEE ICIP, 2 (1997) 458–461.
Gilboa, G., Sochen, N., Zeevi, Y.Y.: Image Enhancement and denoising by complex diffusion processes. IEEE Transactions on PAMI, 26(8) (2004) 1020–1036.
Chen, W.F., Lu, X.Q., Chen, J.J., Wu, G.X.: A new algorithm of edge detection for color image: Generalized fuzzy operator. Science in China (Series A), 38(10) (1995) 1272–1280.
Liu, R.X., Shu, Q.W.: Some new methods in Computing Fluid Dynamics, Science Press of China, Beijing (2004).
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Fu, S., Ruan, Q., Wang, W., Chen, J. (2006). Region-Based Fuzzy Shock Filter with Anisotropic Diffusion for Adaptive Image Enhancement. In: Huang, DS., Li, K., Irwin, G.W. (eds) Intelligent Computing in Signal Processing and Pattern Recognition. Lecture Notes in Control and Information Sciences, vol 345. Springer, Berlin, Heidelberg . https://doi.org/10.1007/978-3-540-37258-5_133
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DOI: https://doi.org/10.1007/978-3-540-37258-5_133
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