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Multiresolution Non-Local Means Filtering for Image Denoising of MRI

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초록

We propose a new method for the reduction of noise present in the magnetic resonance (MR) images. Magnetic resonance imaging (MRI) is corrupted by Rician noise, which is image dependent and computed from both real and imaginary images. Rician noise makes image-based quantitative measurement difficult. The non-local means (NLM) filter has been proven to be effective against additive noise. Similarly, Wavelet transform (WT) based denoising produces a better noise estimation. The proposed algorithm performs denoising in three functional steps. First, the noisy image is decomposed into multiple subbands by using the wavelet transform. NLM filter is applied to the approximation (low-frequency) subbands of a signal decomposed using a wavelet filter bank. The multiresolution NLM filter is combined with wavelet thresholding to form a new image denoising framework, which turns out to be very effective in eliminating noise in real noisy images. Experiments show that the algorithm can reduce image noise effectively in terms of image quality metrics.

Abstract

We propose a new method for the reduction of noise present in the magnetic resonance (MR) images. Magnetic resonance imaging (MRI) is corrupted by Rician noise, which is image dependent and computed from both real and imaginary images. Rician noise makes image-based quantitative measurement difficult. The non-local means (NLM) filter has been proven to be effective against additive noise. Similarly, Wavelet transform (WT) based denoising produces a better noise estimation. The proposed algorithm performs denoising in three functional steps. First, the noisy image is decomposed into multiple subbands by using the wavelet transform. NLM filter is applied to the approximation (low-frequency) subbands of a signal decomposed using a wavelet filter bank. The multiresolution NLM filter is combined with wavelet thresholding to form a new image denoising framework, which turns out to be very effective in eliminating noise in real noisy images. Experiments show that the algorithm can reduce image noise effectively in terms of image quality metrics.

참고문헌 (11)

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  5. S. G. Chang, "Adaptive wavelet thresholding for image denoising and compression", IEEE Trans. Image Process, 9(9) (2000)
  6. J. Portilla, "Image denoising using scale mixtures of gaussians in the wavelet domain", IEEE Trans. Image Process, 12(11) (2003)
  7. C. Vonesch, "The colored revolution of bioimaging", IEEE Signal Process. Mag, 23(3) (2006)
  8. X. Wang, "Moving Window-Based Double Haar Wavelet Transform for Image Processing", IEEE Trans. on image processing, 15(9)
  9. M. Kazubek, "Wavelet domain image denoising by thresholding and Wiener filtering", IEEE Signal Processing Letters, 10(11) (2003)
  10. U. Bal, "Wavelet Dual tree complex wavelet transform based denoising of optical microscopy images", Biomedical optics express, 3(12) (2012)
  11. A. Buades, "A review of Image denoising algorithms, with new one", Multiscale Model Simul, 4(2) (2005)

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