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혼합 norm 기반의 가중치 함수를 이용한 평균 노이즈 제거 기법

Non-Local Means Denoising Method using Weighting Function based on Mixed norm

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초록

This paper presents a non-local means (NLM) denoising algorithm based on a new weighting function using a mixed norm. The fidelity of the difference between an anchor patch and the reference patch in the NLM denoising depends on noise level and local activity. This paper introduces a new weighting function based on a mixed norm type of which the order is determined by noise level and local activity of an anchor patch, so that the performance of the NLM denoising can be enhanced. Experimental results demonstrate the objective and subjective capability of the proposed algorithm. In addition, it was verified that the proposed algorithm can be used to improve the performance of the other norm based non-local means denoising algorithms

Abstract

This paper presents a non-local means (NLM) denoising algorithm based on a new weighting function using a mixed norm. The fidelity of the difference between an anchor patch and the reference patch in the NLM denoising depends on noise level and local activity. This paper introduces a new weighting function based on a mixed norm type of which the order is determined by noise level and local activity of an anchor patch, so that the performance of the NLM denoising can be enhanced. Experimental results demonstrate the objective and subjective capability of the proposed algorithm. In addition, it was verified that the proposed algorithm can be used to improve the performance of the other norm based non-local means denoising algorithms

참고문헌 (12)

  1. P. Milanfar, "A tour of modern image filtering: New insights and methods, both practical and theoretical", IEEE Signal Processing Magazine, 30(1), pp.106~128 (2013)
  2. A. Buades, "A non-local algorithm for image denoising", IEEE Conf. Computer Vision and Pattern Recognition, 2, pp.60~65 (2005)
  3. T. A. Thacker, "Statistical interpretation of non-local means", IET Computer Vision, 4(3), pp.162~172 (2010)
  4. V. Duval, "A bias-variance approach for the nonlocal means", SIAM J . Imaging Sciences, 4(2), pp.760~788 (2011)
  5. Y. Wu, "James-Stein type center pixel weights for non-local means image denoising", IEEE Signal Processing Letters, 20(4), pp.411~414 (2013)
  6. W. Zeng, "NLM denoising method with adaptive center pixel weights", The Seventh Int. Symp. Computational Intelligence and Design, pp.166~169 (2014)
  7. C. A. Deledalle, "Non-local methods with shape adaptive patches", J . of Mathematical Imaging and Vision, 43(2), pp.103~120 (2012)
  8. W. L. Zeng, "Region-based non-local means algorithm for noise removal", Electronics Letters, 47(20), pp.1125~1127 (2011)
  9. Denis H. P. Salvadeo, "Nonlocal Markovian models for image denoising", Journal of Electronic Imaging, 25(1), pp.013003~ (2016), SPIE-Intl Soc Optical Eng[DOI]
  10. K. Chaudhury, "Acceleration of the shiftable O(1) algorithm for bilateral filtering and non-local means", IEEE Trans. Image Processing, 22(4), pp.1291~1300 (2013)
  11. E. Walach, "The least mean fourth (lmf) adaptive algorithm and its familiy", IEEE Trans. Information Theory, IT-30(2), pp.275~283 (1984)
  12. Z. Wang, "Image Quality Assessment: From Error Visibility to Structural Similarity", IEEE Trans. Image Processing, 13(4) (2004)

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