Robust unwrapping algorithm for three-dimensional phase volumes of arbitrary shape containing knotted phase singularity loops

Optical Engineering

Volumn 46, Issue 8, 2007, Pages

  Marklund, Olov ^a   Huntley, Jonathan M ^b   Cusack, Rhodri ^c  

^a LULEÅ UNIVERSITY OF TECHNOLOGY   (Sweden)

^b LOUGHBOROUGH UNIVERSITY   (United Kingdom)

^c MRC COGNITION AND BRAIN SCIENCES UNIT   (United Kingdom)

Author keywords

Data processing; Medical imaging; Phase measurement

Indexed keywords

ALGORITHMS; INTERFEROMETRY; MAGNETIC RESONANCE IMAGING; PHASE MEASUREMENT; THREE DIMENSIONAL;

HUNTLEY'S ALGORITHM; PHASE SINGULARITIES; PHASE UNWRAPPING ALGORITHMS;

MEDICAL IMAGING;

EID: 36048946109     PISSN: 00913286     EISSN: 15602303     Source Type: Journal    
DOI: 10.1117/1.2771652     Document Type: Article

References (16)

1. D. C. Ghiglia and M. D. Pritt, Two-Dimensional Phase Unwrapping; Theory, Algorithms and Software, John Ariley and Sons, New York (1948).
2. J. M. Huntley, "Noise-immune phase unwrapping algorithm," Appl. Opt. 28, 3268-3270 (1989).
3. R. Cusack, J. M. Huntley, and H. T. Goldrein, "Improved noise-immune phase-unwrapping algorithm," Appl. Opt. 34, 781-789 (1995).
4. P. Mansfield, "Multi-planar image formation using NMR spin echoes," J. Phys. C 55-58 (1977).
5. K. Hirano and A. Momose, "Investigation of the phase shift in x-ray forward diffraction using a x-ray interferometer," Phys. Rev. Lett. 76, 3735 (1996).
6. J. M. Huntley, "Three-dimensional noise-immune phase unwrapping algorithm," Appl. Opt. 40, 3901-3908 (2001).
7. R. Cusack and N. Papadakis, "New robust 3D phase unwrapping algorithms; application to magnetic field mapping and undistorting echo-planar images," Neuroimage 16, 754-764 (2002).
8. M. Jenkinson, "Fast, automated N-dimensional phase unwrapping algorithm," Magn. Reson. Med. 49, 193-197 (2003).
9. L. An, Q. S. Xiang, and S. Chavez, "A fast implementation of the minimum spanning tree method for phase unwrapping," IEEE Trans. Med. Imaging 19, 805-808 (2000).
10. M. F. Salfity, J. M. Huntley, M. J. Graves, O. Marklund, R. Cusack, and D. Beauregard, "Advanced higher-dimensional phase unwrapping algorithms for phase contrast magnetic resonance velocity imaging," J. R. Soc., Interface 3, 351-469 (2006).
11. M. F. Salfity, P. D. Ruiz, J. M. Huntley, M. J. Graves, R. Cusack, and D. A. Beauregard, "Branch cut surface placement for unwrapping of undersampled three-dimensional phase data: application to magnetic resonance imaging arterial flow mapping," Appl. Opt. 45, 2711-2722 (2006).
12. S. Chavez, Q. S. Xiang, and L. An, "Understanding phase in MRI: A new cutline phase unwrapping method," IEEE Trans. Med. Imaging 21, 966-977 (2002).
13. Q. S. Xiang, "Temporal phase unwrapping for cine velocity imaging," J. Magn. Reson Imaging 5, 529-534 (1995).
14. G. Z. Yang, P. Burger, P. J. Kilner, S. P. Karwatowski, and D. N. Firmin, "Dynamic range extension of cine-velocity measurements using motion-registered spatiotemporal phase unwrapping," J. Magn. Reson Imaging 6, 495-502 (1996).
15. S. M. Smith, "Fast robust automated brain extraction," Hum. Brain Mapp 17, 143-155 (2002).
16. R. M. Goldstein, H. A. Zebker, and C. L. Werner, "Satellite radar interferometry: Two-dimensional phase unwrapping," Radio Sci. 23, 713-720 (1988).