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An Unified Bayesian Total Variation Regularization Method and Application to Image Restoration

통합 베이즈 총변이 정규화 방법과 영상복원에 대한 응용

  • Yoo, Jae-Hung (Dept. of Computer Engineering, Chonnam Nat. Univ)
  • 류재흥 (전남대학교 컴퓨터공학과)
  • Received : 2021.12.26
  • Accepted : 2022.02.17
  • Published : 2022.02.28

Abstract

This paper presents the unified Bayesian Tikhonov regularization method as a solution to total variation regularization. The integrated method presents a formula for obtaining the regularization parameter by transforming the total variation term into a weighted Tikhonov regularization term. It repeats until the reconstructed image converges to obtain a regularization parameter and a new weighting factor based on it. The experimental results show the effectiveness of the proposed method for the image restoration problem.

본 논문은 통합 베이즈 티코노프 정규화 방법을 총변이 정규화에 대한 해법으로 제시한다. 통합된 방법은 총변이 항을 가중된 티코노프 정규화 항으로 변형하여 정규화 모수를 구하는 공식을 제시한다. 정규화 모수를 구하고 이를 바탕으로 새로운 가중인수를 구하는 것을 복원된 영상이 수렴하기까지 반복한다. 실험결과는 영상 복원 문제에 대하여 제안하는 방법의 효능을 보여준다.

Keywords

References

  1. H. Engl, M. Hanke, and A. Neubauer, Regularization of Inverse Problems. Dordrecht: Kluwer Academic Publishers, 1996.
  2. S. Kim, "An image denoising algorithm for the mobile phone cameras," J. of the Korea Institute of Electronic Communication Sciences, vol. 9, no. 5, 2014, pp. 601-608. https://doi.org/10.13067/JKIECS.201.9.5.601
  3. R. C. Gonzalez and R. E. Woods, Digital Image Processing. MA: Addison-Wesley, 1992.
  4. J. Yoo, "A Unified Bayesian Tikhonov Regularization Method for Image Restoration," J. of the Korea Institute of Electronic Communication Sciences, vol. 11, no. 11, 2016, pp. 1129-1134. https://doi.org/10.13067/JKIECS.2016.11.11.1129
  5. J. Yoo, "An Extension of Unified Bayesian Tikhonov Regularization Method and Application to Image Restoration," J. of the Korea Institute of Electronic Communication Sciences, vol. 15, no. 11, 2020, pp. 161-166.
  6. J. Nagy, K. Palmer, and L. Perrone, "Iterative methods for image deblurring: a Matlab object oriented approach," Numerical Algorithms, vol. 36, no. 1, 2004, pp. 73-93. https://doi.org/10.1023/B:NUMA.0000027762.08431.64
  7. Y. Wang, J. Yang, W. Yin, and Y. Zhang, "A New Alternating Minimization Algorithm for Total Variation Image Reconstruction," SIAM J. IMAGING SCIENCES, vol. 1, no. 3, 2008, pp. 248-272. https://doi.org/10.1137/080724265
  8. P. Rodriguez and B. Wohlberg, "Efficient Minimization Method for a Generalized Total Variation Functional," IEEE Transactions on Image Processing, vol. 18, no. 2, 2009, pp. 322-332. https://doi.org/10.1109/TIP.2008.2008420
  9. G. Golub, M. Heath, and G. Wahba, "Generalized cross-validation as a method for choosing a good ridge parameter," Technometrics, vol. 21, no. 2, 1979, pp. 215-223. https://doi.org/10.1080/00401706.1979.10489751
  10. J. Yoo, "Self-Regularization Method for Image Restoration," J. of the Korea Institute of Electronic Communication Sciences, vol. 11, no. 1, 2016, pp. 45-52. https://doi.org/10.13067/JKIECS.2016.11.1.45
  11. H. Jeong, S. Cho and S. Kim, "Medical Image Encryption based on C-MLCA and 1D CAT," J. of the Korea Institute of Electronic Communication Sciences, vol. 14, no. 2, 2019, pp. 439-446. https://doi.org/10.13067/JKIECS.2019.14.2.439
  12. J. Choi, "Mixed Noise Cancellation by Independent Vector Analysis and Frequency Band Beamforming Algorithm in 4-channel Environments," J. of the Korea Institute of Electronic Communication Sciences, vol. 14, no. 5, 2019, pp. pp. 811-816.
  13. K. Chung, "On Negative Correlation Bit-to-Symbol(: B2S) Mapping for NOMA with Correlated Information Sources in 5G Systems," J. of the Korea Institute of Electronic Communication Sciences, vol. 15, no. 5, 2020, pp. 881-888. https://doi.org/10.13067/JKIECS.2020.15.5.881