Abstract

We propose a three-dimensional phase unwrapping technique that uses the Hungarian algorithm to join together all the partial residual loops that may occur in a wrapped phase volume. Experimental results have shown that the proposed algorithm is more robust and reliable than other well-known three-dimensional phase unwrapping algorithms. Additionally, the proposed algorithm is fast in terms of computational complexity, which makes it suitable for practical applications.

© 2009 Optical Society of America

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  1. D. C. Ghiglia and M. D. Pritt, Two-Dimensional Phase Unwrapping: Theory, Algorithms and Software (Wiley, 1998).
  2. R. Cusack and N. Papadakis, Neuroimage 16, 754 (2001).
    [CrossRef]
  3. H. S. Abdul-Rahman, M. A. Gdeisat, D. R. Burton, M. J. Lalor, F. Lilley, and C. Moore, Appl. Opt. 46, 6623 (2007).
    [CrossRef]
  4. M. Jenkinson, Magn. Reson. Med. 49, 193 (2003).
    [CrossRef]
  5. J. M. Huntley, Appl. Opt. 40, 3901 (2001).
    [CrossRef]
  6. M. F. Salfity, P. D. Ruiz, J. M. Huntley, M. J. Graves, R. Cusack, and D. A. Beauregard, J. R. Soc. Interface 3, 415 (2006).
    [CrossRef]
  7. A. Hooper and H. A. Zebker, J. Opt. Soc. Am. A 24, 2737 (2007).
    [CrossRef]
  8. “Phase unwrapping,” http://www.ljmu.ac.uk/GERI/90202.htm.

2007 (2)

2006 (1)

M. F. Salfity, P. D. Ruiz, J. M. Huntley, M. J. Graves, R. Cusack, and D. A. Beauregard, J. R. Soc. Interface 3, 415 (2006).
[CrossRef]

2003 (1)

M. Jenkinson, Magn. Reson. Med. 49, 193 (2003).
[CrossRef]

2001 (2)

R. Cusack and N. Papadakis, Neuroimage 16, 754 (2001).
[CrossRef]

J. M. Huntley, Appl. Opt. 40, 3901 (2001).
[CrossRef]

Abdul-Rahman, H. S.

Beauregard, D. A.

M. F. Salfity, P. D. Ruiz, J. M. Huntley, M. J. Graves, R. Cusack, and D. A. Beauregard, J. R. Soc. Interface 3, 415 (2006).
[CrossRef]

Burton, D. R.

Cusack, R.

M. F. Salfity, P. D. Ruiz, J. M. Huntley, M. J. Graves, R. Cusack, and D. A. Beauregard, J. R. Soc. Interface 3, 415 (2006).
[CrossRef]

R. Cusack and N. Papadakis, Neuroimage 16, 754 (2001).
[CrossRef]

Gdeisat, M. A.

Ghiglia, D. C.

D. C. Ghiglia and M. D. Pritt, Two-Dimensional Phase Unwrapping: Theory, Algorithms and Software (Wiley, 1998).

Graves, M. J.

M. F. Salfity, P. D. Ruiz, J. M. Huntley, M. J. Graves, R. Cusack, and D. A. Beauregard, J. R. Soc. Interface 3, 415 (2006).
[CrossRef]

Hooper, A.

Huntley, J. M.

M. F. Salfity, P. D. Ruiz, J. M. Huntley, M. J. Graves, R. Cusack, and D. A. Beauregard, J. R. Soc. Interface 3, 415 (2006).
[CrossRef]

J. M. Huntley, Appl. Opt. 40, 3901 (2001).
[CrossRef]

Jenkinson, M.

M. Jenkinson, Magn. Reson. Med. 49, 193 (2003).
[CrossRef]

Lalor, M. J.

Lilley, F.

Moore, C.

Papadakis, N.

R. Cusack and N. Papadakis, Neuroimage 16, 754 (2001).
[CrossRef]

Pritt, M. D.

D. C. Ghiglia and M. D. Pritt, Two-Dimensional Phase Unwrapping: Theory, Algorithms and Software (Wiley, 1998).

Ruiz, P. D.

M. F. Salfity, P. D. Ruiz, J. M. Huntley, M. J. Graves, R. Cusack, and D. A. Beauregard, J. R. Soc. Interface 3, 415 (2006).
[CrossRef]

Salfity, M. F.

M. F. Salfity, P. D. Ruiz, J. M. Huntley, M. J. Graves, R. Cusack, and D. A. Beauregard, J. R. Soc. Interface 3, 415 (2006).
[CrossRef]

Zebker, H. A.

Appl. Opt. (2)

J. Opt. Soc. Am. A (1)

J. R. Soc. Interface (1)

M. F. Salfity, P. D. Ruiz, J. M. Huntley, M. J. Graves, R. Cusack, and D. A. Beauregard, J. R. Soc. Interface 3, 415 (2006).
[CrossRef]

Magn. Reson. Med. (1)

M. Jenkinson, Magn. Reson. Med. 49, 193 (2003).
[CrossRef]

Neuroimage (1)

R. Cusack and N. Papadakis, Neuroimage 16, 754 (2001).
[CrossRef]

Other (2)

D. C. Ghiglia and M. D. Pritt, Two-Dimensional Phase Unwrapping: Theory, Algorithms and Software (Wiley, 1998).

“Phase unwrapping,” http://www.ljmu.ac.uk/GERI/90202.htm.

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