A B-spline approach to phase unwrapping in tagged cardiac MRI for motion tracking

Magnetic Resonance in Medicine

Volumn 69, Issue 5, 2013, Pages 1297-1309

  Chiang, Patricia ^a   Cai, Yiyu ^a,b   Mak, Koon Hou ^a,c   Zheng, Jianmin ^d  

^a NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

^b NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

^c GLENEAGLES HOSPITAL   (Singapore)

^d NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

Author keywords

B spline; HARP; magnetic resonance imaging; motion tracking; phase unwrapping

Indexed keywords

HARMONIC ANALYSIS; INTEGER PROGRAMMING; INTERPOLATION; MAGNETIC RESONANCE IMAGING;

B SPLINES; BICUBIC B-SPLINE SURFACE; CARDIAC MOTION TRACKING; HARP; MIXED INTEGER OPTIMIZATION; PHASE UNWRAPPING; PHASE UNWRAPPING PROBLEM; TAGGED MAGNETIC RESONANCE;

MOTION TRACKING;

ARTICLE; CARDIOVASCULAR MAGNETIC RESONANCE; HEART CYCLE; HEART MUSCLE; HUMAN; HUMAN EXPERIMENT; IMAGE ANALYSIS; IMAGE QUALITY; IMAGE RECONSTRUCTION; MATHEMATICAL MODEL; MOTION ANALYSIS SYSTEM; NORMAL HUMAN; RADIOFREQUENCY; SURFACE PROPERTY;

ALGORITHMS; HEART VENTRICLES; HUMANS; IMAGE ENHANCEMENT; IMAGE INTERPRETATION, COMPUTER-ASSISTED; IMAGING, THREE-DIMENSIONAL; MAGNETIC RESONANCE IMAGING, CINE; MOVEMENT; MYOCARDIAL CONTRACTION; PATTERN RECOGNITION, AUTOMATED; REPRODUCIBILITY OF RESULTS; SENSITIVITY AND SPECIFICITY; SUBTRACTION TECHNIQUE; VENTRICULAR FUNCTION, LEFT;

EID: 84876466860     PISSN: 07403194     EISSN: 15222594     Source Type: Journal    
DOI: 10.1002/mrm.24359     Document Type: Article

References (32)

1. Guttman MA, Prince JL, McVeigh EL,. Tag and contour detection in tagged MR images of the left ventricle. IEEE Trans Med Imaging 1994; 13: 74-88.
2. Young A, Kraitchman DL, Dougherty L, Axel L,. Tracking and finite element analysis of stripe deformation in magnetic resonance tagging. IEEE Trans Med Imaging 1995; 14: 413-321.
3. Denney TS,. Estimation and detection of myocardial tags in MR image without user-defined myocardial contours. IEEE Trans Med Imaging 1999; 16: 330-344.
4. Jacob JP, Vachier C, Morel JM, Daire JL, Hyacinthe JN, Vallée JP,. Extrema temporal chaining: a new method for computing the 2D displacement field of the heart from tagged MRI. Lecture Notes Comput Sci 2006; 4179 LNCS: 897-908.
5. Prince JL, McVeigh ER,. Motion estimation from tagged MR image sequences. IEEE Trans Med Imaging 1992; 11: 238-249.
6. Denney TS, Prince JL,. Optimal brightness functions for optical flow estimation of deformable motion. IEEE Trans Image Processing 1994; 3: 178-191.
7. Osman NF, Kerwin WS, McVeigh ER, Prince JL,. Cardiac motion tracking using CINE harmonic phase (HARP) magnetic resonance imaging. Magn Reson Med 1999; 42: 1048-1060.
8. Osman NF, McVeigh EL, Prince JL,. Imaging heart motion using harmonic phase MRI. IEEE Trans Med Imaging 2000; 19: 186-202.
9. Kuijer JP, Jansen E, Marcus JT, van Rossum AC, Heethaar RM,. Improved harmonic phase myocardial strain maps. Magn Reson Med 2001; 46: 993-999.
10. Osman NF, Prince JL,. Visualizing myocardial function using HARP MRI. Phys Med Biol 2000; 45: 1665-1682.
11. Liu W, Chen J, Allen JS, McLean M, Wickline SA, Yu X,. Comparison of HARP MRI tagging analysis and manual approach for quantification of left ventricular strain in rats after myocardial infarction. Proc Intl Soc Mag Reson Med 2003; 11: 375.
12. Khalifa M, Youssef ABM, Osman NF,. Improved harmonic phase HARP method for motion tracking a tagged cardiac MR image. Proc IEEE Eng Med Biol 2005; 1615415: 4298-4301.
13. Pan L, Prince JL, Lima JAC, Osman NF,. Fast tracking of cardiac motion using 3D HARP. IEEE Trans Biomed Eng 2005; 52: 1425-1435.
14. Sampath S, Prince JL,. Automatic 3D tracking of cardiac material markers using slice-following and harmonic-phase MRI. Magn Reson Imaging 2007; 25: 197-208.
15. Arts T, Prinzen FW, Delhaas T, Milles JR, Rossi AC, Clarysse P,. Mapping displacement and deformation of the heart with local sine-wave modeling. IEEE Trans Med Imaging 2010; 29: 1114-1123.
16. Goldstein RM, Zebker HA, Werner CL,. Satellite radar interferometry: two-dimensional phase unwrapping. Radio Sci 1988; 23: 713-720.
17. Ghiaglia DC, Romero LA,. Robust two-dimensional weighted and unweighted phase unwrapping that uses fast transforms and iterative method. J Opt Soc Am A 1994; 11: 2692-2701.
18. Song MH, Napel S, Pelc NJ, Glover GH,. Phase unwrapping of MR phase images using poisson equation. IEEE Trans Image Process 1995; 4: 667-676.
19. Nico G, Palubinskas G, Datcu M,. Bayesian approaches to phase unwrapping: theoretical study. IEEE Trans Signal Process 2000; 48: 2545-2556.
20. Dias JMB, Leitao JMN,. The ZπM algorithm: a method for interferometric image reconstruction in SAR/SAS. IEEE Trans Image Process 2002; 11: 408-422.
21. Flynn T,. Two-dimensional phase unwrapping with minimum weighted discontinuity. J Opt Soc Am A 1997; 14: 2692-2701.
22. Ying L, Liang ZP, Munson FC, Koetter JR, Frey BJ,. Unwrapping of MR Phase images using a markov random field model. IEEE Trans Med Imaging 2006; 25: 128-136.
23. Dias JMB, Valadao G,. Phase unwrapping via graph cuts. IEEE Trans Image Process 2007; 16: 698-709.
24. Liang ZP,. A model-based method for phase unwrapping. IEEE Trans Med Imaging 1996; 15: 893-897.
25. Flynn TJ,. Consistent 2-D phase unwrapping guided by a quality map. Geosci Remote Sensing Symp 1996; 4: 2057-2059.
26. Venkatesh BA, Gupta H, Lloyd SG, Dell'Italia L, Denny TS Jr,. 3D left ventricular strain from unwrapped harmonic phase measurements. J Magn Reson Imaging 2010; 31: 854-862.
27. Venkatesh BA, Schiros CG, Gupta H, Lloyd SG, Dell'Italia L, Denney TS Jr,. Three-dimensional plus time biventricular strain from tagged MR images by phase-unwrapped harmonic phase. J Magn Reson Imaging 2011; 34: 799-810.
28. Spottiswoode BS, Zhong X, Hess AT, Kramer CM, Meintjes EM, Mayosi BM, Epstein FH,. Tracking myocardial motion from Cine DENSE images using spatiotemporal phase unwrapping and temporal fitting. IEEE Trans Med Imaging 2007; 26: 15-30.
29. Huang J, Abendschoen D, Davila-Roman VG, Amini AA,. Spatio-temporal tracking of myocardial deformations with a 4-D deformation with a 4-D B-Spline model from tagged MRI. IEEE Trans Med Imaging 1999; 18: 957-972.
30. Ozturk C, McVeigh ER,. Four-dimensional B-spline based motion analysis of tagged MR images: introduction and in vivo validation. Phys Med Biol 2000; 45: 1683-1702.
31. De Boor C,. A practical guide to splines. New York, NY: Springer-Verlag; 1978.
32. Piegl LA, Tiller W,. The NURBS book. New York, NY: Springer-Verlag; 1996.