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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 17, Iss. 26 — Dec. 21, 2009
  • pp: 23880–23893

Retrospective correction of nonuniform illumination on bi-level images

Hana Lee and Jeongtae Kim  »View Author Affiliations

Optics Express, Vol. 17, Issue 26, pp. 23880-23893 (2009)

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We propose a novel method for correcting the effect of nonuniform illumination on a bi-level image. The proposed method is based on a penalized nonlinear least squares objective function that measures the binariness of an image and the roughness of illumination. Compared with conventional methods, it has the advantages of 1) not suffering from a trivial minimizer, 2) not requiring tuning of design parameters, and 3) effective optimization. In addition, it yields a unique solution since the minimization of the objective function is well-posed. In simulations and experiments, the method showed better accuracy and speed than the conventional entropy-based method.

© 2009 Optical Society of America

OCIS Codes
(100.3020) Image processing : Image reconstruction-restoration
(100.3190) Image processing : Inverse problems

ToC Category:
Image Processing

Original Manuscript: September 30, 2009
Revised Manuscript: October 30, 2009
Manuscript Accepted: November 16, 2009
Published: December 15, 2009

Hana Lee and Jeongtae Kim, "Retrospective correction of nonuniform illumination on bi-level images," Opt. Express 17, 23880-23893 (2009)

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  1. T. H. Li and K. S. Lii, "A joint estimation approach for two-tone image deblurring by blind deconvolution," IEEE Trans. Image Process. 11(8), 847-858 (2002).
  2. E. Y. Lam, "Blind bi-level image restoration with iterated quadratic programming," IEEE Trans. Circ. Syst. 52(Part 2), 52-56 (2007).
  3. Y. Shen, E. Y. Lam, and N. Wong, "Binary image restoration by positive semidefinite programming," Opt. Lett. 32(2), 121-123 (2007). [CrossRef]
  4. T. F. Chan, S. Esedoglu, and M. Nikolova, "Finding the global minimum for binary image restoration," in Proceedings of IEEE International Conference on Image Processing (ICIP, 2005), pp. 121-124.
  5. J. Kim and H. Lee, "Joint nonuniform illumination estimation and deblurring for bar code signals," Opt. Express 15(22), 14817-14837 (2007). [CrossRef]
  6. M. S. Brown and Y. C. Tsoi, "Geometric and shading correction for images of printed materials using boundary," IEEE Trans. Image Process. 15(6), 1544-1554 (2006). [CrossRef]
  7. D. A. Forsyth, and J. Ponce, Computer vision: A modern approach (Prentice Hall, 2003).
  8. T. Chen, W. Yin, X. S. Zhou, D. Comaniciu, and T. S. Huang, "Total variation models for variable lighting face recognition," IEEE Trans. Pattern Anal. Mach. Intell. 28(9), 1519-1524 (2006). [CrossRef]
  9. Z. Hou, "A review on MR image inhomogeneity correction," Int. J. Biomed. Imaging 2006, 1-11 (2006). [CrossRef]
  10. B. H. Brinkmann, A. Manduca, and R. A. Robb, "Optimized homomorphic unsharp masking for MR grayscale inhomogeneity correction," IEEE Trans. Med. Imaging 17(2), 161-171 (1998). [CrossRef]
  11. J. G. Sled, A. P. Zijdenbos, and A. C. Evans, "A nonparametric method for automatic correction of intensity nonuniformity in MRI data," IEEE Trans. Med. Imaging 17(1), 87-97 (1998). [CrossRef]
  12. J. F. Mangin, "Entropy minimization for automatic correction of intensity nonuniformity," IEEE Workshop on Mathematical Methods in Biomedical Image Analysis (MMBIA, 2000), pp. 162-169.
  13. D. Tomaževič, B. Likar, and F. Pernuš, "Comparative evaluation of retrospective shading correction methods," J. Microsc. 208(Pt 3), 212-223 (2002).
  14. B. Likar, J. B. A. Maintz, M. A. Viergever, and F. Pernuš, "Retrospective shading correction based on entropy minimization," J. Microsc. 197(Pt 3), 285-295 (2000). [CrossRef]
  15. H.-L. Shen, and K. Li, "Decomposition of shading and reflectance from a texture image," Opt. Lett. 34(1), 64-66 (2009). [CrossRef]
  16. B. W. Silverman, Density estimation for statistics and data analysis (Chapman and Hall, 1985).
  17. Q. Ji, J. O. Glass, and W. E. Reddick, "A novel, fast entropy-minimization algorithm for bias field correction in MR images," Magn. Reson. Imaging 25(2), 259-264 (2007). [CrossRef]
  18. M. Unser, "Splines: A perfect fit for signal and image processing," IEEE Signal Process. Mag. 16(6), 22-38 (1999). [CrossRef]
  19. S. Esedoglu, "Blind deconvolution of bar code signals," Inverse Probl. 20(1), 121-135 (2004). [CrossRef]
  20. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical recipes in C + +, 2nd ed. (Cambridge, 2005).
  21. A. Papoulis, and S. U. Pillai, Probability, random variables, and stochastic processes, 4th ed. (McGraw-Hill, 2002).
  22. J. Kybic, P. Thévenaz, A. Nirkko, and M. Unser, "Unwarping of unidirectionally distorted EPI images," IEEE Trans. Med. Imaging 19(2), 80-93 (2000). [CrossRef]
  23. O. Grellier and P. Comon, "Blind separation of discrete sources," IEEE Signal Process. Lett. 5(8), 212-214 (1998). [CrossRef]
  24. J. Eriksson, P. A. Wedin, M. E. Gulliksson, and I. Soderkvist, "Regularization methods for uniformly rank deficient nonlinear least-squares problems," J. Optim. Theory Appl. 127(1), 1-26 (2005). [CrossRef]
  25. J. A. Fessler, "Penalized weighted least-squares image reconstruction for positron emission tomography," IEEE Trans. Med. Imaging 13(2), 290-300 (1997).
  26. H. L. Van Trees, Detection, estimation, and modulation theory, Part 1 (Wiley, 1968).
  27. J. Kim, and J. A. Fessler, "Intensity-based image registration using robust correlation coefficients," IEEE Trans. Med. Imaging 23(11), 1430-1444 (2004). [CrossRef]
  28. J. Zhang, Q. Zhang, and G. He, "Blind deconvolution: multiplicative iterative algorithm," Opt. Lett. 33(1), 25-27 (2008). [CrossRef]
  29. T. J. Holmes, "Blind deconvolution of quantum-limited incoherent imagery: maximum-likelihood approach," J. Opt. Soc. Am. A 9(7), 1052-1061 (1992). [CrossRef]
  30. D. A. Fish, A. M. Brinicombe, E. R. Pike, and J. G. Walker, "Blind deconvolution by means of the Richardson-Lucy algorithm," J. Opt. Soc. Am. A 12(1), 58-65 (1995). [CrossRef]
  31. S. Lu and C. L. Tan, "Binarization of badly illuminated document images through shading estimation and compensation," in Proceedings of IEEE International Conference on Document Analysis and Recognition (ICDAR, 2007), pp. 312-316.

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