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Parametric Blind Restoration of Bi-level Images with Unknown Intensities

  • Kim, Daeun (Department of Electronics Engineering, Ewha Womans University) ;
  • Ahn, Sohyun (Department of Electronics Engineering, Ewha Womans University) ;
  • Kim, Jeongtae (Department of Electronics Engineering, Ewha Womans University)
  • Received : 2016.07.14
  • Accepted : 2016.08.28
  • Published : 2016.10.30

Abstract

We propose a parametric blind deconvolution method for bi-level images with unknown intensity levels that estimates unknown parameters for point spread functions and images by minimizing a penalized nonlinear least squares objective function based on normalized correlation coefficients and two regularization functions. Unlike conventional methods, the proposed method does not require knowledge about true intensity values. Moreover, the objective function of the proposed method can be effectively minimized, since it has the special structure of nonlinear least squares. We demonstrate the effectiveness of the proposed method through simulations and experiments.

Keywords

References

  1. S. Esedogulu, "Blind Deconvolution of Barcode Signals," Inverse Problems, Vol. 20, pp.121-135, 2004. https://doi.org/10.1088/0266-5611/20/1/007
  2. J. Kim and H. Lee., " Joint nonuniform illumination estimation and deblurring for barcode signals Opt. Express, vol. 15, no. 22, pp. 14817-14837, Oct. 2007. https://doi.org/10.1364/OE.15.014817
  3. J. Kim and S. Jang, "High order statistics based blind deconvolution of bi-level images with unknown intensity values," Opt. Express, vol. 18, no. 12, pp. 12872-12889, Jun. 2010. https://doi.org/10.1364/OE.18.012872
  4. T. Chan and C.-K. Wong. "Total variation blind deconvolution," IEEE Trans. Image Proc., vol. 7, no. 3, pp. 370-375, Mar. 1998. https://doi.org/10.1109/83.661187
  5. Y. Shen, E. Y. Lam, and N. Wong, "Binary image restoration by positive semidefinite programming," Opt. Lett., vol. 32, no. 2, pp. 121-123, Jan. 2007. https://doi.org/10.1364/OL.32.000121
  6. T.-H. Li and K.-S. Lii, "A joint estimation approach for two-tone image deblurring by blind deconvolution," IEEE Trans. Image Proc., vol. 11, no. 8, pp. 847-858, Aug. 2002. https://doi.org/10.1109/TIP.2002.801127
  7. P. E. Gill and W. Murray, "Algorithms for the solution of the nonlinear least-squares problem," SIAM Journal on Numerical Analysis, vol. 15, no. 5, pp. 977-992, 1987. https://doi.org/10.1137/0715063
  8. R. C. Gonzalez and R. E. Woods, Digital Image Processing, 2nd ed., Prentice Hall, New Jersey, 2001.