Dual-domain denoising in three dimensional magnetic resonance imaging

Denoising is a crucial preprocessing procedure for three dimensional magnetic resonance imaging (3D MRI). Existing denoising methods are predominantly implemented in a single domain, ignoring information in other domains. However, denoising methods are becoming increasingly complex, making analysis and implementation challenging. The present study aimed to develop a dual-domain image denoising (DDID) algorithm for 3D MRI that encapsulates information from the spatial and transform domains. In the present study, the DDID method was used to distinguish signal from noise in the spatial and frequency domains, after which robust accurate noise estimation was introduced for iterative filtering, which is simple and beneficial for computation. In addition, the proposed method was compared quantitatively and qualitatively with existing methods for synthetic and in vivo MRI datasets. The results of the present study suggested that the novel DDID algorithm performed well and provided competitive results, as compared with existing MRI denoising filters.

[1]  Ezequiel López-Rubio,et al.  Kernel regression based feature extraction for 3D MR image denoising , 2011, Medical Image Anal..

[2]  Yanhui Guo,et al.  A survey on the magnetic resonance image denoising methods , 2014, Biomed. Signal Process. Control..

[3]  J Sijbers,et al.  Estimation of the noise in magnitude MR images. , 1998, Magnetic resonance imaging.

[4]  Jiliu Zhou,et al.  Nonlocal denoising using anisotropic structure tensor for 3D MRI. , 2013, Medical physics.

[5]  J. Sijbers,et al.  Automatic estimation of the noise variance from the histogram of a magnetic resonance image , 2007, Physics in medicine and biology.

[6]  Carl-Fredrik Westin,et al.  Restoration of DWI Data Using a Rician LMMSE Estimator , 2008, IEEE Transactions on Medical Imaging.

[7]  Aleksandra Pizurica,et al.  A versatile wavelet domain noise filtration technique for medical imaging , 2003, IEEE Transactions on Medical Imaging.

[8]  Matthias Zwicker,et al.  Progressive Image Denoising , 2014, IEEE Transactions on Image Processing.

[9]  M. Bronskill,et al.  Noise and filtration in magnetic resonance imaging. , 1985, Medical physics.

[10]  Frédo Durand,et al.  Patch Complexity, Finite Pixel Correlations and Optimal Denoising , 2012, ECCV.

[11]  José V. Manjón,et al.  MRI denoising using Non-Local Means , 2008, Medical Image Anal..

[12]  Matthias Zwicker,et al.  Dual-domain image denoising , 2013, 2013 IEEE International Conference on Image Processing.

[13]  Alessandro Foi,et al.  Image Denoising by Sparse 3-D Transform-Domain Collaborative Filtering , 2007, IEEE Transactions on Image Processing.

[14]  D. Louis Collins,et al.  New methods for MRI denoising based on sparseness and self-similarity , 2012, Medical Image Anal..

[15]  Rudolf Fruhwirth,et al.  Redescending M-estimators and Deterministic Annealing, with Applications to Robust Regression and Tail Index Estimation , 2010, 1006.3707.

[16]  Yi Wang,et al.  A novel background field removal method for MRI using projection onto dipole fields (PDF) , 2011, NMR in biomedicine.

[17]  H. Gudbjartsson,et al.  The rician distribution of noisy mri data , 1995, Magnetic resonance in medicine.

[18]  Carl-Fredrik Westin,et al.  Noise and Signal Estimation in Magnitude MRI and Rician Distributed Images: A LMMSE Approach , 2008, IEEE Transactions on Image Processing.

[19]  Jean-Michel Morel,et al.  A Review of Image Denoising Algorithms, with a New One , 2005, Multiscale Model. Simul..

[20]  Stan Z. Li,et al.  Robustizing robust M-estimation using deterministic annealing , 1996, Pattern Recognit..

[21]  J. Hogg Magnetic resonance imaging. , 1994, Journal of the Royal Naval Medical Service.

[22]  Wilhelm Burger,et al.  Digital Image Processing - An Algorithmic Introduction using Java , 2008, Texts in Computer Science.

[23]  Jean-Philippe Thiran,et al.  Sequential anisotropic multichannel Wiener filtering with Rician bias correction applied to 3D regularization of DWI data , 2009, Medical Image Anal..

[24]  Karen O. Egiazarian,et al.  Pointwise Shape-Adaptive DCT for High-Quality Denoising and Deblocking of Grayscale and Color Images , 2007, IEEE Transactions on Image Processing.

[25]  A. Evans,et al.  MRI simulation-based evaluation of image-processing and classification methods , 1999, IEEE Transactions on Medical Imaging.

[26]  A. O. Rodríguez,et al.  Principles of magnetic resonance imaging , 2004 .

[27]  D. Louis Collins,et al.  Design and construction of a realistic digital brain phantom , 1998, IEEE Transactions on Medical Imaging.

[28]  Jitendra Malik,et al.  Scale-Space and Edge Detection Using Anisotropic Diffusion , 1990, IEEE Trans. Pattern Anal. Mach. Intell..

[29]  Eero P. Simoncelli,et al.  Image quality assessment: from error visibility to structural similarity , 2004, IEEE Transactions on Image Processing.