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http://dx.doi.org/10.3745/KIPSTA.2006.13A.5.429

Nonlinear Deblurring Algorithm on Convex-Mirror Image for Reducing Occlusion  

Lee, In-Jung (호서대학교 컴퓨터공학부)
Publication Information
The KIPS Transactions:PartA / v.13A, no.5, 2006 , pp. 429-434 More about this Journal
Abstract
A CCTV system reduces some number of cameras if we use convex-mirror. In this case, convex-mirror Image distorted, we need transformation to flat images. In the center of mirror images, a transformed image has no distortion, but at near boundary image has plentiful distortion. This distortion is caused by occlusion of angled ray and diffraction. We know that the linear filtering approach cannot separate noise from signal where their Fourier spectra overlap. But using a non-linear discretization method, we shall reduce blurred noise. In this paper, we introduce the backward solution of nonlinear wave equation for reducing blurred noise and biased expansion of equilibrium contour. We propose, after applying the introduced method, and calculate with discretization method. To analysis the experimental result, we investigate to PSNR and get about 4dB better than current method.
Keywords
Nonlinear Wave Equation; Deblurring; Backward Solution;
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Times Cited By KSCI : 1  (Citation Analysis)
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1 Cyeong-il Kweon, Kwang Taek Kim, Geon-hee Kim, and Hyo-sik Kim, 'Folded catadioptric panoramic lens with an equidistance projection scheme,' In Optical Society of America, Vol.3. pp.20-34, 2005
2 Yves Truginy. 'Product approximation for nonlinear Klein-Gordon equations,' In IMA jourmal of Numerical Analysis. Vol.9, pp.449-462, 1990
3 In-Jung Lee. 'Numerical Solution for Nonlinear Klein-Gordon Equation by Using Lagrange Polynomial Interpolation with a Trick,' In KIPS Transactions. Part A, Vol.11- A, No.7, pp.571-576. 2004.   과학기술학회마을   DOI
4 A. Marquina, S. Osher, 'Explicit Algorithms for a New Time Dependent Model Based on Level Set Motion for Nonlinear Deblurring and Noise Removal,' In UCLA CAM Report 90-5, Department of Mathematics, University of California, Los Angeles, pp.87, 1999
5 Claudio Canuto M. Yousuff Hussaini Alfio Quarteroni Thomas A. Zang, 'Spectral Methods in Fluid Dynamics. In Springer- Verlag,' 2ed. pp.378, 1988
6 Dupont. T. 'L estimates for Galerkin methods for second-order hyperbolic equations,' In SIAM J. Numerical Analysis. Vol.10, pp.392-410, 1973
7 J. Weickert, BM. ter Haar Romeny, M. Viergever, 'Efficient and Reliable Schemes for Non-linear Diffusion Filtering,' In IEEE Transactions on Image Processing, Vol.7, No.3, pp.398. 2001   DOI   ScienceOn
8 Daney Barash, 'One-Step Deblurring and Denoising Color Images Using Partial Differential Equations,' In HP Laboratories Israel, pp.57, 2000
9 Perring.J.K. and Skyrme,T.R.H, 'A model unified field equation,' In Nuclear Physics, Vol.31, pp.550-555, 1962   DOI   ScienceOn
10 N. Moayeri, K. Konstantinides, 'An Algorithm for Blind Restoration of Blurred and Noisy Images,' In Technical Report HPL-96-102, Hewlett-Packard, pp.37, 1996
11 J. Beet, L. Blanc-Feraud, G. Aubert and A. Chambolle, 'A ${\ell}^1$-Unified Variational Framework for Image Restoration,' In Proc. ECCV'2004, Prague, Czech Republic, Part IV: LNCS #3024, pp.1-13, Springer, 2004
12 T.F. Chan, C.K. Wong, 'Total Variation Blind Deconvolution,' In IEEE Transactions on Image Processing, Vol.7, No.3, pp.370, 1998   DOI   ScienceOn
13 T.F. Chan, G.H. Golub, P. Mulet, 'A Nonlinear Primal-Dual Method for Total Variation-Based Image Restoration,' In SIAM Journal on Scientific Computing, Vol.20, No.6, pp.1964, 1999   DOI