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Abstract
An efficient method with systems of nonlinear partial difference equations (PDE) for image super-resolution was presented, in which geometric edge orientation estimated by the principle component analysis (PCA) method. Using the local and contextual discontinuity of image pixel’s neighborhood, the robust orientation diffusion processes were exploited to enhance the sharpness of edges without incurring any additional artifacts. We also discuss the connection between the new PDE framework and the classical variational PDE method. Furthermore, the implementation scheme of the proposed approach was given by a novel finite difference method. Simulation results show that the proposed approach exhibited better performance than the standard linear interpolation and classical PDE approaches, particularly in the edge regions.
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References
Borman, S.: Topics in multiframe superresolution restoration. [Ph.D. Thesis]. University of Notre Dame, Notre Dame, Indiana (2004)
Schultz, R.R., Stevenson, R.L.: Extraction of high-resolution frames from video sequences. IEEE Transactions on Image Processing 5(6), 996–1011 (1996)
Elad, M., Feuer, A.: Restoration of a single super-resolution image from several blurred, noisy and undersampled measured Images. IEEE Transactions on Image Processing 6(12), 1646–1658 (1997)
Borman, S., Stevenson, R.L.: Super-resolution for image sequences—a review. In: Proc. IEEE Int. Symp. Circuits and Systems, pp. 374–378. IEEE Computer Society Press, Los Alamitos (1998)
El-Khamy, S.E., Hadhoud, M.M., Dessouky, M.I., Salam, B.M., Abd, F.E.: Efficient implementation of image interpolation as an inverse problem. Digital Signal Processing 15, 137–152 (2005)
Farsiu, S., Dirk Robinson, M.: Fast and robust multiframe super resolution. IEEE Transactions on Image Processing 13(10), 1327–1344 (2004)
Chen, K.: Adaptive Smoothing Via Contextual and Local Discontinuities. IEEE Transactions on Pattern Analysis and Machine Analysis 27(10), 1552–1567 (2005)
Schultz, R.R., Stevenson, R.L.: A Bayesian approach to image expansion for improved definition. IEEE Transactions on Image Processing 3(3), 233–242 (1994)
Charbonnier, P., Blanc-Fe‘raud, L., Aubert, G., Barlaud, M.: Deterministic edge-preserving regularization in computed imaging. IEEE Transactions on Image Processing 6(2), 298–311 (1997)
Perona, P., Malik, J.: Scale-Space and Edge Detection Using Anisotropic Diffusion. IEEE Transactions on Pattern Analysis and Machine Analysis 6(12), 629–639 (1990)
Feng, X.G.: Analysis and approaches to image local orientation estimation: [D]. University of California Santa Cruz (2003)
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School of Computer Science and Technology, Nanjing University of Science and Technology, Nanjing 210094, China
Liang Xiao, Zhihui Wei & Huizhong Wu
- Liang Xiao
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- Zhihui Wei
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- Huizhong Wu
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© 2007 Springer-Verlag Berlin Heidelberg
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Xiao, L., Wei, Z., Wu, H. (2007). Robust Orientation Diffusion Via PCA Method and Application to Image Super-Resolution Reconstruction. In: Li, K., Fei, M., Irwin, G.W., Ma, S. (eds) Bio-Inspired Computational Intelligence and Applications. LSMS 2007. Lecture Notes in Computer Science, vol 4688. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74769-7_77
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