Estimating intensity variance due to noise in registered images: Applications to diffusion tensor MRI

NeuroImage

Volumn 26, Issue 3, 2005, Pages 673-684

  Rohde, Gustavo K ^a,b   Barnett, Alan S ^c   Basser, Peter J ^a   Pierpaoli, Carlo ^a  

^a EUNICE KENNEDY SHRIVER NATIONAL INSTITUTE OF CHILD HEALTH AND HUMAN DEVELOPMENT   (United States)

^b UNIVERSITY OF MARYLAND   (United States)

^c NATIONAL INSTITUTE OF MENTAL HEALTH   (United States)

Author keywords

Image registration; Interpolation; Noise; Parameter estimation; Variance

Indexed keywords

ARTICLE; CHI SQUARE DISTRIBUTION; COVARIANCE; DIFFUSION TENSOR IMAGING; FUNCTIONAL ASSESSMENT; FUNCTIONAL MAGNETIC RESONANCE IMAGING; IMAGE ANALYSIS; IMAGE INTENSIFIER; PRIORITY JOURNAL; SIGNAL NOISE RATIO; VARIANCE;

ALGORITHMS; ARTIFACTS; BRAIN; DATA INTERPRETATION, STATISTICAL; DIFFUSION MAGNETIC RESONANCE IMAGING; HUMANS; IMAGE PROCESSING, COMPUTER-ASSISTED; LINEAR MODELS;

EID: 20444494054     PISSN: 10538119     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.neuroimage.2005.02.023     Document Type: Article

References (46)

1. D.C. Alexander, G.J. Barker, and S.R. Arridge Detection and modeling of non-Gaussian apparent diffusion coefficient profiles in human brain data Magn. Reson. Med. 48 2 2002 331 340
2. A.W. Anderson Theoretical analysis of the effects of noise on diffusion tensor imaging Magn. Reson. Med. 46 6 2001 1174 1188
3. J.L. Andersson, and S. Skare A model-based method for retrospective correction of geometric distortions in diffusion-weighted EPI NeuroImage 16 1 2002 177 199
4. J. Ashburner, and K.J. Friston Voxel-based morphometry-The methods NeuroImage 11 6 Pt. 1 2000 805 821
5. P.J. Basser Inferring microstructural features and the physiological state of tissues from diffusion-weighted images NMR Biomed. 8 7-8 1995 333 344
6. P.J. Basser Quantifying Errors in Fiber-Tract Direction and Diffusion Tensor Field Maps Resulting from MR Noise 1997 International Society for Magnetic Resonance in Medicine (ISMRM) Vancouver, BC, Canada
7. P.J. Basser, and C. Pierpaoli Microstructural and physiological features of tissues elucidated by quantitative-diffusion-tensor MRI J. Magn. Reson., B 111 3 1996 209 219
8. P.J. Basser, J. Mattiello, and D. LeBihan Estimation of the effective self-diffusion tensor from the NMR spin echo J. Magn. Reson. B. 103 3 1994 247 254
9. P.J. Basser, S. Pajevic, C. Pierpaoli, J. Duda, and A. Aldroubi In vivo fiber tractography using DT-MRI data Magn. Reson. Med. 44 4 2000 625 632
10. M.E. Bastin Correction of eddy current-induced artefacts in diffusion tensor imaging using iterative cross-correlation Magn. Reson. Imaging 17 7 1999 1011 1024
11. T.E. Behrens, M.W. Woolrich, M. Jenkinson, H. Johansen-Berg, R.G. Nunes, S. Clare, P.M. Matthews, J.M. Brady, and S.M. Smith Characterization and propagation of uncertainty in diffusion-weighted MR imaging Magn. Reson. Med. 50 5 2003 1077 1088
12. L.-C. Chang, G.K. Rohde, D.K. Jones, P.J. Basser, and C. Pierpaoli RESTORE: Robust Estimation of Tensors by Outlier Rejection 12th Annual Meeting of ISMRM, Kyoto, Japan 2004 International Society for Magnetic Resonance in Medicine (ISMRM) Wiley
13. T.E. Conturo, N.F. Lori, T.S. Cull, E. Akbudak, A.Z. Snyder, J.S. Shimony, R.C. McKinstry, H. Burton, and M.E. Raichle Tracking neuronal fiber pathways in the living human brain Proc. Natl. Acad. Sci. U. S. A. 96 18 1999 10422 10427
14. K.J. Friston, A.P. Holmes, K.J. Worsley, J.P. Poline, C.D. Frith, and R.S. Frackowiak Statistical parametric maps in functional imaging: a general linear approach Hum. Brain Mapp. 2 1995 189 210
15. K.J. Friston, S. Williams, R. Howard, R.S. Frackowiak, and R. Turner Movement-related effects in fMRI time-series Magn. Reson. Med. 35 3 1996 346 355
16. K. Fukunaga Introduction to Statistical Pattern Recognition 1972 Academic Press Inc. New York
17. S. Grootoonk, C. Hutton, J. Ashburner, A.M. Howseman, O. Josephs, G. Rees, K.J. Friston, and R. Turner Characterization and correction of interpolation effects in the realignment of fMRI time series NeuroImage 11 1 2000 49 57
18. H. Gudbjartsson, and S. Patz The Rician distribution of noisy MRI data Magn. Reson. Med. 34 6 1995 910 914
19. E.M. Haacke, R.W. Brown, M.R. Thompson, and R. Venkatesan Magnetic Resonance Imaging: Physical Principles and Sequence Design 1999 Wiley-Liss New York
20. J.V. Hajnal, N. Saeed, E.J. Soar, A. Oatridge, I.R. Young, and G.M. Bydder A registration and interpolation procedure for subvoxel matching of serially acquired MR images J. Comput. Assist. Tomogr. 19 2 1995 289 296
21. J.C. Haselgrove, and J.R. Moore Correction for distortion of echo-planar images used to calculate the apparent diffusion coefficient Magn. Reson. Med. 36 6 1996 960 964
22. R.M. Henkelman Measurement of signal intensities in the presence of noise in MR images Med. Phys. 12 2 1985 232 233
23. R.V. Hogg, and A.T. Craig Expectations of functions of random variables R.W. Pirtle Introduction to Mathematical Statistics 1995 Prentice-Hall, Inc. Upper Saddle River, NJ
24. M.A. Horsfield Mapping eddy current induced fields for the correction of diffusion-weighted echo planar images Magn. Reson. Imaging 17 9 1999 1335 1345
25. D.K. Jones Determining and visualizing uncertainty in estimates of fiber orientation from diffusion tensor MRI Magn. Reson. Med. 49 1 2003 7 12
26. D.K. Jones, M.A. Horsfield, and A. Simmons Optimal strategies for measuring diffusion in anisotropic systems by magnetic resonance imaging Magn. Reson. Med. 42 3 1999 515 525
27. T.M. Lehmann, C. Gonner, and K. Spitzer Survey: interpolation methods in medical image processing IEEE Trans. Med. Imaging 18 11 1999 1049 1075
28. T.M. Lehmann, C. Gonner, and K. Spitzer Addendum: B-spline interpolation in medical image processing IEEE Trans. Med. Imaging 20 7 2001 660 665
29. L.C. Maas, and P.F. Renshaw Post-registration spatial filtering to reduce noise in functional MRI data sets Magn. Reson. Imaging 17 9 1999 1371 1382
30. S.E. Maier, H. Mamata, and R.V. Mulkern Characterization of normal brain and brain tumor pathology by chisquares parameter maps of diffusion-weighted image data Eur. J. Radiol. 45 3 2003 199 207
31. J.B. Maintz, and M.A. Viergever A survey of medical image registration Med. Image Anal. 2 1 1998 1 36
32. J.F. Mangin, C. Poupon, C. Clark, D. Le Bihan, and I. Bloch Distortion correction and robust tensor estimation for MR diffusion imaging Med. Image Anal. 6 3 2002 191 198
33. E.H. Meijering, W.J. Niessen, and M.A. Viergever Quantitative evaluation of convolution-based methods for medical image interpolation Med. Image Anal. 5 2 2001 111 126
34. L.D. Nickerson, S. Narayana, J.L. Lancaster, P.T. Fox, and J.H. Gao Estimation of the local statistical noise in positron emission tomography revisited: practical implementation NeuroImage 19 2 Pt. 1 2003 442 456
35. C. Pierpaoli, P. Jezzard, P.J. Basser, A. Barnett, and G. Di Chiro Diffusion tensor MR imaging of the human brain Radiology 201 3 1996 637 648
36. J.P. Pluim, J.B. Maintz, and M.A. Viergever Interpolation artefacts in mutual information-based image registration Comput. Vis. Image Underst. 77 2000 211 232
37. J.P. Pluim, J.B. Maintz, and M.A. Viergever Mutual-information-based registration of medical images: a survey IEEE Trans. Med. Imaging 22 8 2003 986 1004
38. Rohde, G.K. 2004. Ph.D. dissertation research. Applied Mathematics and Scientific Computation Program. College Park, University or Maryland.
39. G.K. Rohde, A.S. Barnett, P.J. Basser, S. Marenco, and C. Pierpaoli Comprehensive approach for correction of motion and distortion in diffusion-weighted MRI Magn. Reson. Med. 51 1 2004 103 114
40. R. Shrager, D.K. Jones, S. Pajevic, P. Munson, and P.J. Basser When is a Gaussian Displacement Distribution Adequate to Describe Water Diffusion in Tissues? Workshop on Diffusion MRI: Biophysical Issues 2002 ISMRM Saint-Malo, France
41. J. Sijbers, A.J. den Dekker, J. Van Audekerke, M. Verhoye, and D. Van Dyck Estimation of the noise in magnitude MR images Magn. Reson. Imaging 16 1 1998 87 90
42. C. Studholme, R.T. Constable, and J.S. Duncan Accurate alignment of functional EPI data to anatomical MRI using a physics-based distortion model IEEE Trans. Med. Imaging 19 11 2000 1115 1127
43. N.A. Thacker, A. Jackson, D. Moriarty, and E. Vokurka Improved quality of re-sliced MR images using re-normalized sinc interpolation J. Magn. Reson. Imaging 10 4 1999 582 588
44. P. Thevenaz, T. Blu, and M. Unser Interpolation revisited IEEE Trans. Med. Imaging 19 7 2000 739 758
45. M. Unser, A. Aldroubi, and M. Eden B-Spline signal processing: Part I-Theory IEEE Trans. Signal Process. 41 2 1993 821 833
46. M. Unser, A. Aldroubi, and M. Eden B-Spline signal processing: Part II-Efficient design and applications IEEE Trans. Signal Process. 41 2 1993 834 848