Unwrapping magnetic resonance phase maps with Chebyshev polynomials

Magnetic Resonance Imaging

Volumn 27, Issue 9, 2009, Pages 1293-1301

  Langley, Jason ^a   Zhao, Qun ^a  

^a UNIVERSITY OF GEORGIA   (United States)

Author keywords

Chebyshev polynomial; Magnetic resonance imaging; Method of moments; Phase unwrapping

Indexed keywords

ALGORITHM; ARTICLE; BRAIN; CONTROLLED STUDY; IN VIVO STUDY; MAGNETIC FIELD; NUCLEAR MAGNETIC RESONANCE IMAGING; NUCLEAR MAGNETIC RESONANCE SCANNER; PHANTOM; PRIORITY JOURNAL; SIGNAL NOISE RATIO; TRUNK;

ALGORITHMS; ANIMALS; BRAIN; BRAIN MAPPING; HUMANS; IMAGE PROCESSING, COMPUTER-ASSISTED; IMAGING, THREE-DIMENSIONAL; MAGNETIC RESONANCE IMAGING; MATHEMATICS; MICE; MODELS, STATISTICAL; MODELS, THEORETICAL; NORMAL DISTRIBUTION; PATTERN RECOGNITION, AUTOMATED; SOFTWARE;

EID: 70349802128     PISSN: 0730725X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mri.2009.05.013     Document Type: Article

References (37)

1. Poncelet B.P., Wedeen V.J., Weisskoff R.M., and Cohen M.S. Brain parenchyma motion: measurement with cine echo-planar MR imaging. Radiology 185 (1992) 645-651
2. Cusack R., and Papadakis N. New robust 3-D phase unwrapping algorithms: application to magnetic field mapping and undistorting echoplanar images. NeuroImage 16 (2002) 754-764
3. Guo J.Y., Kholmovski E.G., Zhang L., and Parker D.L. Evaluation of motion effects on parallel MR imaging with precalibration. Magn Reson Imaging 25 (2007) 1130-1137
4. Szumowski J., Coshow W.R., Li F., and Quinn S.F. Phase unwrapping in the three-point Dixon method for fat suppression MR imaging. Radiology 192 2 (1994) 555-561
5. Rauscher A., Barth M., Herrmann K.H., Witoszynskyj S., Deistung A., and Reichenbach J.R. Improved elimination of phase effects from background field inhomogeneities for susceptibility weighted imaging at high magnetic field strengths. Magn Reson Imaging 26 (2008) 1145-1151
6. Rauscher A., Barth M., Reichenbach J.R., Stollberger R., and Moser E. Automated unwrapping of MR phase images applied to BOLD MR-venography at 3 Tesla. J Magn Reson Imaging 18 (2003) 175-180
7. Hall D.A., Gonçalves M.S., Smith S., Jezzard P., Haggard M.P., and Kornak J. A method for determining venous contribution to BOLD contrast sensory activation. Magn Reson Imaging 20 (2002) 695-706
8. Bakker C.J., de Leeuw H., Vincken K.L., Vonken E.J., and Hendrikse J. Phase gradient mapping as an aid in the analysis of object-induced and system-related phase perturbations in MRI. Phys Med Biol 53 18 (2008) N349-N358
9. Bonny J.M., Laurent W., and Renou J.P. Detection of susceptibility effects using simultaneous T2* and magnetic field mapping. Magn Reson Imaging 18 (2000) 1125-1128
10. Hagberg G.E., Bianciardi M., Brainovich V., Cassara A.M., and Maraviglia B. The effect of physiological noise in phase functional magnetic resonance imaging: from blood oxygen level-dependent effects to direct detection of neuronal currents. Magn Reson Imaging 26 (2008) 1026-1040
11. Mills P.H., Wu Y.J.L., Ho C., and Ahrens E.T. Sensitive and automated detection of iron-oxide-labeled cells using phase image cross-correlation analysis. Magn Reson Imaging 26 (2008) 618-628
12. Hedley M., and Rosenfeld D. A new two-dimensional phase unwrapping algorithm for MRI images. Magn Reson Med 24 (1992) 177-181
13. Chavez S., Xiang Q.S., and An L. Understanding phase maps in MRI: a new cutline phase unwrapping algorithm. IEEE Trans Med Imaging 21 8 (2002) 966-977
14. Witoszynskyj S., Rauscher A., Reichenbach J.R., and Barth M. Phase unwrapping of MR images using Phi UN - a fast and robust region growing algorithm. Med Image Anal 13 2 (2009) 257-268
15. Xu W., and Cumming I. A region-growing algorithm for InSAR phase unwrapping. IEEE Trans Geosci Remote Sensing 37 1 (1999) 124-134
16. Fornaro G., and Sansosti E. A two-dimensional region growing least squares phase unwrapping algorithm for interferometric SAR processing. IEEE Trans Geosci Remote Sensing 37 5 (1999) 2215-2226
17. Jenkinson M. Fast, automated, N-dimensional phase-unwrapping algorithm. Magn Reson Med 49 (2003) 193-197
18. Bioucas-Dias J., and Valadão G. Phase unwrapping via graph cuts. IEEE Trans Image Process 16 3 (2007) 698-709
19. Ying L., Liang Z.P., David C., Munson J., Koetter R., and Frey B.J. Unwrapping of MR phase images using a Markov random field model. IEEE Trans Med Imaging 25 1 (2006) 128-136
20. Ching N.H., Rosenfeld D., and Braun M. Two-dimensional phase unwrapping using a minimum spanning tree algorithm. IEEE Trans Image Process 1 3 (1992) 355-365
21. An L., Xiang Q.S., and Chavez S. A fast implementation of the minimum spanning tree method for phase unwrapping. IEEE Trans Med Imaging 19 8 (2000) 805-808
22. Song S.M.H., Napel S., Pelc N.J., and Glover G.H. Phase unwrapping of MR phase images using Poisson equation. IEEE Trans Image Process 4 5 (1995) 667-676
23. Pritt M.D., and Shipman J.S. Least-squares two-dimensional phase unwrapping using FFT's. IEEE Trans Geosci Remote Sensing 32 3 (1994) 706-708
24. Bagher-Ebadian H., Jiang Q., and Ewing J.R. A modified Fourier-based phase unwrapping algorithm with an application to MRI venography. J Magn Reson Imaging 27 (2008) 649-652
25. Liang Z.P. A model-based method for phase unwrapping. IEEE Trans Med Imaging 15 6 (1996) 893-897
26. Karasev P.A., Campbell D.P., and Richards M.A. Obtaining a 35× speedup in 2D phase unwrapping using commodity graphics processors. IEEE Radar Conference (2007), IEEE, Boston, MA 574-578
27. Ghiglia D.C., and Romero L.A. Minimum LP-norm two-dimensional phase unwrapping. J Opt Soc Am A 13 10 (1999) 1999-2013
28. Teh C.H., and Chin R.T. On image analysis by methods of moments. IEEE Trans Pattern Anal Mach Intell 10 4 (1988) 496-513
29. Hu M.K. Visual pattern recognition by moment invariants. IEEE Trans Inf Theory 8 2 (1962) 179-187
30. Smith S.M., Jenkinson M., Woolrich M.W., Beckmann C.F., Behrens T.E.J., Johansen-Berg H., et al. Advances in functional and structural MR image analysis and implementation as FSL. NeuroImage 23 S1 (2004) 208-219
31. Fox L., and Parker I.B. Chebyshev polynomials in numerical analysis. London (1968), Oxford U.P., New York, [etc.]
32. Zhao Q, Langley J, Faraco C, Miller SL. Correction of susceptibility-induced distortion in diffusion tensor imaging with a moment-based phase unwrapping method. International Journal of Functional Informatics and Personalized Medicine; In press.
33. Kaplan W. Advanced calculus (2002), Boston, Addison-Wesley
34. Itoh K. Analysis of the phase unwrapping algorithm. Appl Opt 31 14 (1982) 2470
35. Nico G., and Fortuny J. Using the matrix pencil method to solve phase unwrapping. IEEE Trans Signal Process 51 3 (2003) 886-888
36. Weisskoff R.M. Simple measurement of scanner stability for functional NMR imaging of activation in the brain. Magn Reson Med 36 (1996) 643-645
37. Nico G., Palbinskas G., and Datcu M. Bayesian approaches to phase unwrapping: theoretical study. IEEE Trans Signal Process 48 9 (2000) 2545-2556