Restoration of MRI data for intensity non-uniformities using local high order intensity statistics

MRI at high magnetic fields (>3.0 T) is complicated by strong inhomogeneous radio-frequency fields, sometimes termed the "bias field". These lead to non-biological intensity non-uniformities across the image. They can complicate further image analysis such as registration and tissue segmentation. Existing methods for intensity uniformity restoration have been optimized for 1.5 T, but they are less effective for 3.0 T MRI, and not at all satisfactory for higher fields. Also, many of the existing restoration algorithms require a brain template or use a prior atlas, which can restrict their practicalities. In this study an effective intensity uniformity restoration algorithm has been developed based on non-parametric statistics of high order local intensity co-occurrences. These statistics are restored with a non-stationary Wiener filter. The algorithm also assumes a smooth non-uniformity and is stable. It does not require a prior atlas and is robust to variations in anatomy. In geriatric brain imaging it is robust to variations such as enlarged ventricles and low contrast to noise ratio. The co-occurrence statistics improve robustness to whole head images with pronounced non-uniformities present in high field acquisitions. Its significantly improved performance and lower time requirements have been demonstrated by comparing it to the very commonly used N3 algorithm on BrainWeb MR simulator images as well as on real 4 T human head images.

[1]  L. Axel,et al.  Intensity correction in surface-coil MR imaging. , 1987, AJR. American journal of roentgenology.

[2]  Hawley K. Rising Analysis and generalization of Retinex by recasting the algorithm in wavelets , 2004, J. Electronic Imaging.

[3]  Mark J. F. Gales,et al.  Product of Gaussians for speech recognition , 2006, Comput. Speech Lang..

[4]  Paul A. Viola,et al.  Alignment by Maximization of Mutual Information , 1995, Proceedings of IEEE International Conference on Computer Vision.

[5]  Michael Elad,et al.  A Variational Framework for Retinex , 2002, IS&T/SPIE Electronic Imaging.

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

[7]  D H Brainard,et al.  Analysis of the retinex theory of color vision. , 1986, Journal of the Optical Society of America. A, Optics and image science.

[8]  Shang-Hong Lai,et al.  A new variational shape-from-orientation approach to correcting intensity inhomogeneities in magnetic resonance images , 1999, Medical Image Anal..

[9]  Michael Brady,et al.  A fast method for computing and correcting intensity inhomogeneities in MRI , 2008, 2008 5th IEEE International Symposium on Biomedical Imaging: From Nano to Macro.

[10]  W. Eric L. Grimson,et al.  Adaptive Segmentation of MRI Data , 1995, CVRMed.

[11]  Hugues Benoit-Cattin,et al.  Intensity non-uniformity correction in MRI: Existing methods and their validation , 2006, Medical Image Anal..

[12]  D. Teichberg,et al.  Local histogram correction of MRI spatially dependent image pixel intensity nonuniformity , 1996, Journal of magnetic resonance imaging : JMRI.

[13]  Norbert Schuff,et al.  Restoration of MRI data for field nonuniformities using high order neighborhood statistics , 2007, SPIE Medical Imaging.

[14]  T. Hatsukami,et al.  A multi‐scale method for automatic correction of intensity non‐uniformity in MR images , 2001, Journal of magnetic resonance imaging : JMRI.

[15]  D. Rubin,et al.  Maximum likelihood from incomplete data via the EM - algorithm plus discussions on the paper , 1977 .

[16]  M W Vannier,et al.  Post‐acquisition correction of MR inhomogeneities , 1996, Magnetic resonance in medicine.

[17]  Bostjan Likar,et al.  A Review of Methods for Correction of Intensity Inhomogeneity in MRI , 2007, IEEE Transactions on Medical Imaging.

[18]  Jeih-San Liow,et al.  Qualitative and Quantitative Evaluation of Six Algorithms for Correcting Intensity Nonuniformity Effects , 2001, NeuroImage.

[19]  Stephen M. Smith,et al.  Segmentation of brain MR images through a hidden Markov random field model and the expectation-maximization algorithm , 2001, IEEE Transactions on Medical Imaging.

[20]  Aly A. Farag,et al.  A modified fuzzy c-means algorithm for bias field estimation and segmentation of MRI data , 2002, IEEE Transactions on Medical Imaging.

[21]  Bostjan Likar,et al.  MRI intensity inhomogeneity correction by combining intensity and spatial information , 2004, Physics in medicine and biology.

[22]  Koenraad Van Leemput,et al.  Automated model-based tissue classification of MR images of the brain , 1999, IEEE Transactions on Medical Imaging.

[23]  Nicholas Ayache,et al.  Bias Field Correction of Breast MR Images , 1996, VBC.

[24]  Koenraad Van Leemput,et al.  Automated model-based bias field correction of MR images of the brain , 1999, IEEE Transactions on Medical Imaging.

[25]  Alexander A. Sawchuk,et al.  Adaptive Noise Smoothing Filter for Images with Signal-Dependent Noise , 1985, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[26]  Benoit M. Dawant,et al.  Correction of intensity variations in MR images for computer-aided tissue classification , 1993, IEEE Trans. Medical Imaging.

[27]  Patrick Clarysse,et al.  Correction of bias field in MR images using singularity function analysis , 2005, IEEE Transactions on Medical Imaging.

[28]  Martin Styner,et al.  Parametric estimate of intensity inhomogeneities applied to MRI , 2000, IEEE Transactions on Medical Imaging.

[29]  Edward H. Adelson,et al.  The Laplacian Pyramid as a Compact Image Code , 1983, IEEE Trans. Commun..

[30]  Michael Weiner,et al.  Accurate template-based correction of brain MRI intensity distortion with application to dementia and aging , 2004, IEEE Transactions on Medical Imaging.

[31]  Nicholas Ayache,et al.  Maximum Likelihood Estimation of the Bias Field in MR Brain Images: Investigating Different Modelings of the Imaging Process , 2001, MICCAI.

[32]  P Wach,et al.  Imaging of the active B1 field in vivo , 1996, Magnetic resonance in medicine.

[33]  S. Rice Mathematical analysis of random noise , 1944 .

[34]  N. Thacker,et al.  A fast model independent method for automatic correction of intensity nonuniformity in MRI data , 1999, Journal of magnetic resonance imaging : JMRI.

[35]  Ron Kikinis,et al.  Markov random field segmentation of brain MR images , 1997, IEEE Transactions on Medical Imaging.

[36]  G. Bruce Pike,et al.  Standing-wave and RF penetration artifacts caused by elliptic geometry: an electrodynamic analysis of MRI , 1998, IEEE Transactions on Medical Imaging.

[37]  R. Constable,et al.  Measurement and correction of transmitter and receiver induced nonuniformities in vivo , 2005, Magnetic resonance in medicine.

[38]  Richard A. Robb,et al.  Optimized homomorphic unsharp masking for MR grayscale inhomogeneity correction , 1998, IEEE Transactions on Medical Imaging.

[39]  Lawrence H. Staib,et al.  Correcting Nonuniformities in MRI Intensities Using Entropy Minimization Based on an Elastic Model , 2004, MICCAI.

[40]  Karl J. Friston,et al.  Voxel-Based Morphometry—The Methods , 2000, NeuroImage.

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

[42]  Zujun Hou,et al.  A Review on MR Image Intensity Inhomogeneity Correction , 2006, Int. J. Biomed. Imaging.

[43]  S. Haykin,et al.  Adaptive Filter Theory , 1986 .

[44]  Charles R. Meyer,et al.  Retrospective correction of intensity inhomogeneities in MRI , 1995, IEEE Trans. Medical Imaging.

[45]  M S Cohen,et al.  Rapid and effective correction of RF inhomogeneity for high field magnetic resonance imaging , 2000, Human brain mapping.

[46]  Alan C. Evans,et al.  A nonparametric method for automatic correction of intensity nonuniformity in MRI data , 1998, IEEE Transactions on Medical Imaging.

[47]  Bostjan Likar,et al.  Retrospective correction of MR intensity inhomogeneity by information minimization , 2000, IEEE Transactions on Medical Imaging.

[48]  Michael Brady,et al.  Estimating the bias field of MR images , 1997, IEEE Transactions on Medical Imaging.

[49]  J. Mangin,et al.  Entropy minimization for automatic correction of intensity nonuniformity , 2000, Proceedings IEEE Workshop on Mathematical Methods in Biomedical Image Analysis. MMBIA-2000 (Cat. No.PR00737).

[50]  F. Lad,et al.  Approximating the Distribution for Sums of Products of Normal Variables , 2003 .